################################################################
2-Dimensional RG Complexes
Min Index 6; Max Index 6000
Coxeter Matrix
100
310
2101
################################################################

{"Z1" : "101\n110\n011","Z2" : "111\n111","index" : 12}
{"Z1" : "100001\n010010\n001100\n100100\n001010\n010001\n000101\n011000\n10001\
0\n101000\n010100\n000011\n001001\n000110\n110000","Z2" : "100100100000000\n01\
0001000001000\n001010000000010\n100000000100100\n001000010010000\n010000001000\
001\n000010001100000\n000100000010001\n000001010000100\n000000100001010","inde\
x" : 60}
{"Z1" : "110000000000\n010010000000\n100000100000\n100000001000\n001100000000\
\n000010010000\n000000101000\n000010001000\n011000000000\n100001000000\n000100\
010000\n000000010010\n100010000000\n000110000000\n000000010001\n001001000000\n\
000000000101\n000001000100\n000000011000\n010001000000\n000000000011\n00000000\
1001\n000000100100\n001000000100\n000100000010\n000001100000\n010100000000\n00\
0000100001\n000000000110\n001000000010","Z2" : "110000000000100000000000000000\
\n100000000100000000010000000000\n000000001000000100010000000000\n000001000010\
010000000000000000\n000100010000100000000000000000\n00000000000000010100000100\
0000\n010000000000010000000000001000\n001000000100000000000000010000\n00000101\
0000000000100000000000\n000000000000000001000010010000\n0000100010000000000000\
00001000\n000000000000001000100100000000\n000000000011000000000000100000\n0000\
00000000000010000010000100\n001100100000000000000000000000\n000000000000000000\
000001000011\n000000000001001000001000000000\n000000100000000000000100000100\n\
000000000000000010001000000010\n000010000000000000000000100001","index" : 120}
{"Z1" : "110000\n010010\n100100\n101000\n001100\n000011\n001100\n001010\n01100\
0\n100001\n000101\n100001\n100010\n000110\n010001\n001001\n010010\n001001\n010\
001\n000011\n110000\n011000\n000110\n100100\n000101\n010100\n010100\n100010\n0\
01010\n101000","Z2" : "110000000000100000000000000000\n10000000010000000010000\
0000000\n000000000000000100100100000000\n000000000010010000010000000000\n00010\
0010000100000000000000000\n000000000000000100010000000010\n0100000000000100000\
00000010000\n000000000100000000000001100000\n000001010000000001000000000000\n0\
00010001000000000000000010000\n000000100000000000000100001000\n001000000011000\
000000000000000\n000001000000000000000010100000\n00000000100000100100000000000\
0\n001100100000000000000000000000\n000000000000000000000000000111\n00000000000\
0000010000010001000\n000000000001001000001000000000\n0000100000000000000000010\
00001\n000000000000000010001000000100","index" : 120}
{"Z1" : "110000\n010010\n100100\n101000\n001100\n000011\n001010\n011000\n10000\
1\n000101\n100010\n000110\n010001\n001001\n000011\n001100\n011000\n001010\n100\
001\n000101\n010001\n010100\n000110\n010100\n100100\n001001\n110000\n010010\n1\
01000\n100010","Z2" : "110000000010000000000000000000\n10000000100010000000000\
0000000\n000000000000110010000000000000\n000000000101001000000000000000\n00010\
0100010000000000000000000\n000001100000010000000000000000\n0100000000010000000\
00100000000\n000000001100000000000000100000\n000001000000000000010010000000\n0\
00010010000000000000100000000\n000000010000000000001000010000\n000000000000000\
110000001000000\n000000000000000000000011000100\n00000000000000100100000001000\
0\n001110000000000000000000000000\n000000000000000000000000001101\n00000000000\
0000001000000000011\n001000000000000000110000000000\n0000000000000001000000001\
00010\n000000000000000000101000001000","index" : 120}
{"Z1" : "110000000000\n010010000000\n100000100000\n100000001000\n001100000000\
\n000010010000\n000000101000\n000010001000\n011000000000\n100001000000\n000100\
010000\n000000010010\n100010000000\n000110000000\n000000010001\n001001000000\n\
000000000101\n000001000100\n000000011000\n000000101000\n010001000000\n00001001\
0000\n000000000011\n000000001001\n011000000000\n000000100100\n001000000100\n10\
0001000000\n000100000010\n000100010000\n000001100000\n000000010001\n0000000100\
10\n000001100000\n010100000000\n000000001001\n010001000000\n000000100001\n0000\
00100100\n000001000100\n000000000110\n010100000000\n001000000100\n000100000010\
\n001001000000\n000000000011\n000000100001\n000000011000\n010010000000\n001000\
000010\n000110000000\n100000100000\n110000000000\n000000000101\n001000000010\n\
001100000000\n100000001000\n000010001000\n100010000000\n000000000110","Z2" : "\
110000000000100000000000000000000000000000000000000000000000\n0000000000000001\
00001000100000000000000000000000000000000000\n00000000010000000000000000000010\
0000000000000000000100000000\n000000000000000000010000000000000000000000000000\
000100001000\n000000000000000001000000001000000000000000001000000000000000\n00\
0000000000000000000000000000000000000000010000000000110000\n000000000000000001\
000000010000100000000000000000000000000000\n0000000000000000000000000000000000\
00000001000000101000000000\n10000000010000000000100000000000000000000000000000\
0000000000\n000000000000000010000000010000000000010000000000000000000000\n0001\
00010000100000000000000000000000000000000000000000000000\n00000000000000001000\
0010000000000000000010000000000000000000\n000000000000000100000000000000000000\
000100100000000000000000\n0000000000000000000000000000000000000000000000000000\
00001110\n000010001000000000000000000000000010000000000000000000000000\n001100\
100000000000000000000000000000000000000000000000000000\n0000000000100100000001\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
0010100000010000000000\n000001010000000000100000000000000000000000000000000000\
000000\n010000000000010000000000000000000010000000000000000000000000\n00000010\
0000000000000000000000000001010000000000000000000000\n000000000000000000000000\
000000000100001100000000000000000000\n0000000000000000000000000000110010000000\
00000000000000000000\n00000000000000000000000010000000000000000100000000000001\
0000\n000000000000000000010001000000000000000000000010000000000000\n0000000000\
00000000000000000000010001000000000001000000000000\n00000000000000000000000000\
1000000000000000000000000000100001\n000000000000001000100001000000000000000000\
000000000000000000\n0000000000110000000000000000000000000000000100000000000000\
00\n000000000000000000000100000000000000000000000001000000000100\n000000000000\
000000000000000000000000000000000000100010000010\n0000000000000000000000000000\
00000000001000000010000001000000\n00000000000000000000000000010000000010000000\
0000000010000000\n000000000000000000000000000000000000000000000100000001000001\
\n000000000001001000000010000000000000000000000000000000000000\n00000000100000\
0000000000000000000000100000001000000000000000\n000000000000000000000000000000\
011000000000000100000000000000\n0000010000000000000000000000010000000000000000\
00001000000000\n000010000000000000000000000010000000000000000000010000000000\n\
001000000000000000000000000100000100000000000000000000000000","index" : 240}
{"Z1" : "110000000000000\n000100100000000\n100010000000000\n000000011000000\n0\
01001000000000\n000110000000000\n000100000010000\n000000000100010\n00000000011\
0000\n000010100000000\n000000010000100\n011000000000000\n000001010000000\n0000\
00000100100\n000001000001000\n001000001000000\n010010000000000\n01010000000000\
0\n000000100100000\n010000000010000\n000000000100001\n100000100000000\n0000000\
00101000\n000100000000001\n000000001010000\n000000010001000\n000000000000110\n\
000000100010000\n000000010000010\n000100000001000\n001010000000000\n0000010000\
00010\n100001000000000\n000000001100000\n000000001000100\n000100000000010\n000\
000001000001\n010000000000001\n010001000000000\n000010000100000\n1000000010000\
00\n000000010010000\n000001100000000\n000010000001000\n100000000010000\n000000\
010000001\n100000000001000\n000000100000100\n001000000000010\n001000000000001\
\n000000000000011\n000000000011000\n001000000000100\n010000010000000\n01000000\
0000100\n000001000100000\n000100000000100\n000001001000000\n100000000000001\n0\
00000000001100\n000010000000010\n000101000000000\n000010001000000\n01000000010\
0000\n000000110000000\n000000000010010\n001000000001000\n000000100000001\n0010\
00100000000\n001000000010000\n100000000000100\n000000000001001\n10000000000001\
0\n000010010000000\n000100001000000","Z2" : "101000000000000010000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000100000\
00000000000000000000000000100000000000010\n00000000000000000000000000000000000\
0000000000010000000000001000000000010000\n000001000000000011000000000000000000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
00000000000010000000000000000100001000\n00000000000000000000000000100000000100\
0000000000000000001000000000000000000\n000000000000000000000000010000000000000\
001000000000100000000000000000000000\n0000000000000000000000000100000000000000\
00010000000000000000000000000000010\n00000000000000000000001000000000000000010\
0010000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000100000000000000001000100000\n0000000000000000000000010000000000010000000\
00000001000000000000000000000000\n00001000000100000000000000000000000000100000\
0000000000000000000000000000000\n010001000100000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000010000000000000000\
00000000001001000000000000000\n00000000000000000000000000000000000000000000001\
0000000000010000000000001000\n000000010000010000000000001000000000000000000000\
000000000000000000000000000\n0000000000000000000000010000000000001000000000000\
00000000000000000000000001\n00000000000000010000000000000010000000000000000000\
0000000000001000000000000\n000100000000100000000000000000000000000000000000000\
000000100000000000000000\n0000001000000000010100000000000000000000000000000000\
00000000000000000000000\n00000000100000000010000000010000000000000000000000000\
0000000000000000000000\n000000000000100000000000000010010000000000000000000000\
000000000000000000000\n0000000100000000000000000000000100000000000000000000000\
10000000000000000000\n00000000000000100000001000000000000000000000000000000001\
0000000000000000000\n000000000000000000000000000000100000000000000000100000000\
000100000000000000\n0000000000000010000000000000010000000000000000000000000000\
00010000000000000\n00000000000000000000000010000000000000001000100000000000000\
0000000000000000\n000000100000000000000000100000000000000000000000000000000000\
000000000000001\n0010000000000000000000000000000000000000100000000000000000000\
01000000000000\n00000000100000000001000000000000000000000000000000000000000000\
0100000000000\n000000000000000000000000000000000000000000000001000010000000000\
000001000000\n0000000000000000000000000000000000000000000001000000000000000000\
10010000000\n00000000000000000000000000000000000000000000000000100000001000000\
0000000100\n100000000000000000000000000000001000001000000000000000000000000000\
000000000\n0000000001000000001000000000000000000001000000000000000000000000000\
00000000\n00001000000000010000000000000000000000000000000000000000010000000000\
0000000\n000000000000000000000100000000000000000000000001000000000000000000000\
010000\n0000000000000000000000000001000000000000010000000000000000000000100000\
00000\n00000000000000000000100000000000000001000000000000000000000000010000000\
0000\n000000000000010000000000000000000110000000000000000000000000000000000000\
000\n0000000000000000000000000000000000000000000000000001000000000000001001000\
00\n00000000000000000000010000000000100000000010000000000000000000000000000000\
0\n010000000000000000000000000000000000000000100000000000000000010000000000000\
\n000000000000000000000000000000000000000000001000000000000000000001000000100\
\n000000000000000000001000000000000100100000000000000000000000000000000000000\
\n000100000010000000000000000000000010000000000000000000000000000000000000000\
\n000000000010000000000000000000000000000000000000000001100000000000000000000\
\n000000000000000000000000000000000000000000000000010000000000000000011000000\
\n000000000001000000000000000000000000000000000000000010100000000000000000000\
\n000000000000000000000000000000000000010000000100000001000000000000000000000"\
,"index" : 300}
{"Z1" : "100000000000100000\n000100000000000001\n100000000100000000\n000100000\
001000000\n000000000100000001\n000000000001100000\n010000000000001000\n0000100\
00000000010\n010000001000000000\n000010010000000000\n000000001000000010\n00000\
0010000001000\n001000000000000100\n000001000000010000\n001000100000000000\n000\
001000010000000\n000000100000010000\n000000000010000100\n100000100000000000\n0\
00001000001000000\n100000000000000100\n000001000000000001\n000000000001000100\
\n000000100000000001\n001000001000000000\n000010000010000000\n0010000000000010\
00\n000010000000010000\n000000000010001000\n000000001000010000\n01000000010000\
0000\n000100010000000000\n010000000000100000\n000100000000000010\n000000010000\
100000\n000000000100000010\n000000100000100000\n000000000100000100\n0000010000\
00100000\n000100000000000100\n000001000100000000\n000100100000000000\n00000001\
0000010000\n000000000010000010\n010000000000010000\n001000000000000010\n010000\
000010000000\n001000010000000000\n000000000001001000\n000000001000000001\n1000\
00000000001000\n000010000000000001\n100000001000000000\n000010000001000000\n10\
0000000010000000\n001000000001000000\n100000000000010000\n001000000000000001\n\
000000000001010000\n000000000010000001\n000001010000000000\n010000100000000000\
\n000001000000000010\n010000000000000100\n000000100000000010\n0000000100000001\
00\n000010000100000000\n000100001000000000\n000010000000100000\n00010000000000\
1000\n000000001000100000\n000000000100001000\n000000000010100000\n000000000100\
010000\n001000000000100000\n000100000000010000\n001000000100000000\n0001000000\
10000000\n000000001000000100\n000000100000001000\n000010000000000100\n00000100\
0000001000\n000010100000000000\n000001001000000000\n000000000001000010\n000000\
010000000001\n100000000000000010\n010000000000000001\n100000010000000000\n0100\
00000001000000","Z2" : "100000000000000000100000000000000000100000000000000000\
000000000000000000000000000000000000\n0100000000000000000000010000000000000000\
01000000000000000000000000000000000000000000000000\n00100000000000000000100000\
0000000000010000000000000000000000000000000000000000000000000000\n000100000000\
000000000010000000000000000100000000000000000000000000000000000000000000000000\
\n0000100000000000000001000000000000000000100000000000000000000000000000000000\
00000000000000\n00000100000000000001000000000000000000100000000000000000000000\
0000000000000000000000000000\n000000100000000000000000000000100000000000000000\
000000000000000000000001000000000000000000\n0000000100000000000000000000000000\
01000000000000000000000000000000100000000000000000000000\n00000000100000000000\
0000000000001000000000000000000000000000000000000010000000000000000000\n000000\
000100000000000000000000000010000000000000000000000000000000001000000000000000\
000000\n0000000000100000000000000000000001000000000000000000000000000000000100\
00000000000000000000\n00000000000100000000000000000001000000000000000000000000\
0000000000000100000000000000000000\n000000000000100000000000100000000000000000\
000000000000000000000000000000000000100000000000\n0000000000000100000000000000\
01000000000000000000000000000000000000000000000000000001000000\n00000000000000\
1000000000001000000000000000000000000000000000000000000000000000010000000000\n\
000000000000000100000000000010000000000000000000000000000000000000000000000000\
000100000000\n0000000000000000100000000001000000000000000000000000000000000000\
00000000000000000010000000\n00000000000000000100000001000000000000000000000000\
0000000000000000000000000000001000000000\n000000000000100000000000000000000000\
000000000001000000000000000001000000000000000000000000\n0000000000000100000000\
00000000000000000000100000000000000000100000000000000000000000000000\n00000000\
000000100000000000000000000000000000010000000000000000001000000000000000000000\
0000\n000000000000000100000000000000000000000000010000000000000000001000000000\
000000000000000000\n0000000000000000100000000000000000000000000010000000000000\
00010000000000000000000000000000\n00000000000000000100000000000000000000000000\
0010000000000000000100000000000000000000000000\n000000010000000000000000000000\
000000000000000000000001000000000000000000000000000000100000\n0000001000000000\
00000000000000000000000000000000100000000000000000000000000000000000000001\n00\
000000010000000000000000000000000000000000000000010000000000000000000000000000\
0000010000\n000000001000000000000000000000000000000000000000010000000000000000\
000000000000000000000100\n0000000000010000000000000000000000000000000000000010\
00000000000000000000000000000000000010\n00000000001000000000000000000000000000\
0000000000000010000000000000000000000000000000001000\n100000000000000000000000\
000000000000000000000000000000100000000000000000100000000000000000\n0100000000\
000000000000000000000000000000000000000000000000010000000000000000010000000000\
00\n00100000000000000000000000000000000000000000000000000000100000000000000001\
0000000000000000\n000100000000000000000000000000000000000000000000000000000010\
000000000000000100000000000000\n0000100000000000000000000000000000000000000000\
00000000000100000000000000000010000000000000\n00000100000000000000000000000000\
0000000000000000000000010000000000000000001000000000000000\n000000000000000000\
000000000100000000000000000000000001000010000000000000000000000000000000\n0000\
000000000000000000000010000000000000000000001000000100000000000000000000000000\
00000000\n00000000000000000000000001000000000000000000000000010000000100000000\
0000000000000000000000\n000000000000000000000000100000000000000000000000010000\
000100000000000000000000000000000000\n0000000000000000000000000000100000000000\
00000000001000100000000000000000000000000000000000\n00000000000000000000000000\
0001000000000000000000000010001000000000000000000000000000000000\n000000000000\
000000000000000000001000000000000010000000000000000000000000100000000000000000\
\n0000000000000000000000000000000001000000000100000000000000000000000000000000\
01000000000000\n00000000000000000000000000000010000000000000100000000000000000\
0000000000010000000000000000\n000000000000000000000000000000010000000000100000\
000000000000000000000000000100000000000000\n0000000000000000000000000000000000\
01000000000100000000000000000000000000000010000000000000\n00000000000000000000\
0000000000000010000000000001000000000000000000000000001000000000000000\n000000\
000000000000000100000000000000000000000000000000000000100000000000000000000000\
010000\n0000000000000000000010000000000000000000000000000000000000000000010000\
00000000000000000010\n00000000000000000001000000000000000000000000000000000000\
0000001000000000000000000000100000\n000000000000000000100000000000000000000000\
000000000000000000000010000000000000000000001000\n0000000000000000000000100000\
00000000000000000000000000000000000100000000000000000000000001\n00000000000000\
0000000001000000000000000000000000000000000000010000000000000000000000000100\n\
000000000000000000000000000000000000000100000000000000000000000000010000000000\
100000000000\n0000000000000000000000000000000000000010000000000000000000000000\
00000010000000000001000000\n00000000000000000000000000000000000000000100000000\
0000000000000000000100000000010000000000\n000000000000000000000000000000000000\
000010000000000000000000000000000001000000000100000000\n0000000000000000000000\
00000000000000100000000000000000000000000000001000000000000010000000\n00000000\
000000000000000000000000000001000000000000000000000000000010000000000000100000\
0000","index" : 360}
{"Z1" : "100000100000000000000000000000000000\n0100000100000000000000000000000\
00000\n001000001000000000000000000000000000\n100000000000100000000000000000000\
000\n000100000000010000000000000000000000\n00001000000000100000000000000000000\
0\n010000000000000000100000000000000000\n000100000000000000010000000000000000\
\n000001000000000000001000000000000000\n001000000000000000000000100000000000\n\
000010000000000000000000010000000000\n000001000000000000000000001000000000\n00\
0000100000100000000000000000000000\n000000000100000100000000000000000000\n0000\
00000010000010000000000000000000\n000000010000000000100000000000000000\n000000\
000100000000000100000000000000\n000000000001000000000010000000000000\n00000000\
1000000000000000100000000000\n000000000010000000000000000100000000\n0000000000\
01000000000000000010000000\n000000000000010000010000000000000000\n000000000000\
000100000100000000000000\n000000000000000001000001000000000000\n00000000000000\
1000000000010000000000\n000000000000000010000000000100000000\n0000000000000000\
01000000000001000000\n000000000000000000001000001000000000\n000000000000000000\
000010000010000000\n000000000000000000000001000001000000\n00000001000000000000\
0000000000100000\n000000001000000000000000000000010000\n0000001000000000000000\
00000000001000\n000000000000001000000000000000100000\n000000000000100000000000\
000000000100\n000000000000010000000000000000000010\n00000000000000000001000000\
0000010000\n000000000000000000001000000000000100\n0000000000000000001000000000\
00000001\n000000000000000000000000001000001000\n000000000000000000000000100000\
000010\n000000000000000000000000010000000001\n00000001000000100000000000000000\
0000\n000000000010000001000000000000000000\n0000000000010001000000000000000000\
00\n000000001000000000010000000000000000\n000000000010000000000010000000000000\
\n000000000100000000000001000000000000\n000000100000000000000000001000000000\n\
000000000001000000000000000001000000\n000000000100000000000000000100000000\n00\
0000000000100000001000000000000000\n000000000000000001000010000000000000\n0000\
00000000000010000100000000000000\n000000000000010000000000100000000000\n000000\
000000000100000000000001000000\n000000000000000010000000000010000000\n00000000\
0000000000100000010000000000\n000000000000000000000001000100000000\n0000000000\
00000000000100000010000000\n001000000000000000000000000000010000\n100000000000\
000000000000000000001000\n010000000000000000000000000000100000\n00000000000000\
0100000000000000010000\n000000000000000010000000000000000010\n0000000000001000\
00000000000000000001\n000000000000000000000010000000001000\n000000000000000000\
100000000000000010\n000000000000000000000100000000000100\n00000000000000000000\
0000000100100000\n000000000000000000000000000010000001\n0000000000000000000000\
00100000000100\n001000000000000100000000000000000000\n000001000000001000000000\
000000000000\n000100000000000001000000000000000000\n10000000000000000000001000\
0000000000\n000001000000000000000001000000000000\n0000100000000000000100000000\
00000000\n010000000000000000000000000100000000\n000100000000000000000000001000\
000000\n000010000000000000000000000001000000\n00000000000000001010000000000000\
0000\n000000000000001000000001000000000000\n0000000000000100000010000000000000\
00\n000000000000100000000000000010000000\n000000000000000001000000001000000000\
\n000000000000010000000000010000000000\n000000000000000000000100100000000000\n\
000000000000000000010000000001000000\n000000000000000000001000010000000000\n00\
0100000000000000000000000000000010\n000010000000000000000000000000100000\n1000\
00000000000000000000000000000100\n000000000010000000000000000000000010\n000000\
100000000000000000000000000001\n000000000100000000000000000000010000\n00000000\
0000000000000100000000100000\n000000000000000000000001000000000001\n0000000000\
00000000010000000000001000\n000000000000000000000000000001000100\n000000000000\
000000000000010000010000\n000000000000000000000000000100001000\n00010000001000\
0000000000000000000000\n001000000001000000000000000000000000\n0000010100000000\
00000000000000000000\n000010000000000000000100000000000000\n001000000000000000\
001000000000000000\n010000000000000000000010000000000000\n10000000000000000000\
0000000001000000\n000001000000000000000000000010000000\n0100000000000000000000\
00100000000000\n000000100000000000000001000000000000\n000000000001000000001000\
000000000000\n000000001000000000100000000000000000\n00000000010000000000000001\
0000000000\n000000010000000000000000000010000000\n0000000010000000000000000010\
00000000\n000000000000000000010000000100000000\n000000000000000000000010100000\
000000\n000000000000000000100000001000000000\n00000100000000000000000000000000\
0100\n010000000000000000000000000000000001\n0001000000000000000000000000000100\
00\n000000000100000000000000000000000100\n000000000001000000000000000000001000\
\n000000010000000000000000000000000010\n000000000000000001000000000000000001\n\
000000000000010000000000000000001000\n000000000000000100000000000000100000\n00\
0000000000000000000000000010010000\n000000000000000000000000000001000010\n0000\
00000000000000000000001000100000\n000001000100000000000000000000000000\n000010\
001000000000000000000000000000\n100000000010000000000000000000000000\n01000000\
0000000001000000000000000000\n000010000000000010000000000000000000\n0010000000\
00100000000000000000000000\n000100000000000000000000000010000000\n100000000000\
000000000000010000000000\n001000000000000000000000000100000000\n00000000000101\
0000000000000000000000\n000000001000000010000000000000000000\n0000001000000010\
00000000000000000000\n000000010000000000000000000001000000\n000000000010000000\
000000010000000000\n000000100000000000000000100000000000\n00000000000000010000\
0000001000000000\n000000000000100000000000000100000000\n0000000000000010000000\
00100000000000\n000010000000000000000000000000000001\n000001000000000000000000\
000000001000\n001000000000000000000000000000000010\n00000000000100000000000000\
0000000001\n000000001000000000000000000000000100\n0000000000100000000000000000\
00100000\n000000000000000010000000000000001000\n000000000000000001000000000000\
000100\n000000000000001000000000000000010000\n00000000000000000000000100000000\
0010\n000000000000000000001000000000100000\n0000000000000000000000100000000100\
00\n000010000001000000000000000000000000\n010000000100000000000000000000000000\
\n000100100000000000000000000000000000\n000001000000000010000000000000000000\n\
010000000000010000000000000000000000\n100000000000000100000000000000000000\n00\
1000000000000000000001000000000000\n000100000000000000000100000000000000\n1000\
00000000000000100000000000000000\n000000001000000001000000000000000000\n000000\
000100010000000000000000000000\n000000010000100000000000000000000000\n00000000\
0010000000001000000000000000\n000000100000000000000100000000000000\n0000000100\
00000000010000000000000000\n000000000000001000000010000000000000\n000000000000\
000100100000000000000000\n000000000000100000010000000000000000","Z2" : "100100\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0100001000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00100000010000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000010\
010000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000010000100000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000100100000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000010010000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000010000100000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000100100000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000001001001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n1000000000000000000000000000000010000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0001000000000000000000000000000010000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000010000000000000\n0000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000100000000000\n00000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000001000000000000000000000000000000000000000000000000000\n000000\
000000000000001000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000\n0000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000000000000000001000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000100000000000000000000000000000001000\n000000\
001000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000100000000000000\
000000000000000010000000000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00010000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000010000000\n0000000000000000000000000000000000000000000001000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000000000000100000000000000000000000000000010000000000\n000000\
000000000000010000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000\n0000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000001000000000\
00000000000000000000000000000000000000000000\n00000000000000010000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000001000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000001000000000000\
000000000000000100\n0000000000010000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000\n00000000000000000000000000000000\
000000000000100000000000000000000000000010000000000000000000000000000001000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000100000000000000000000000000000000000000000000000000001000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
10000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000100000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000010000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000100000\n0000000100000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000010000000000000000000000\n000000\
000100000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000100000000000000000000000000000010\n00000000000000000100000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000010000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000100000000000000000000000000000010000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000100001000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000010010000000010000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000001000000100000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000100100000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000100100000001000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000001000010000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000100100000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000100100000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000001000010000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010010010000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
100000010000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000100100000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000100001000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000100001000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000001001000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000100100000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000100001000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000001001000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000100100000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000100100100000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000100000000100000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001001000000001000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000010000000010000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000010000010000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010010000000100000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001001000\
0010000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000010000000000000100000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010010000000000000001000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001001000000000000\
0100000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001001001000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000100000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000010\
00000000000000000000000000000000000000000000\n00000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000100000000000000000000\n000001\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000100000000000000\n00000000000000000010000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000000000000000000010000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000010000000000000000000000000000100000000000000000000\
000000000000000000\n0000000000000100000000000000000000000000000000000000000000\
000001000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000010000000000000000000000000000001\n000000\
000000000000000000000000000000000000000000100000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000\n0000001000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000010\
0000000000000000000000000000000000000000000000000000000001000000000000\n000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000001\
000000000000000000\n0100000000000000000000000000001000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000100000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000100000000000000000000000000000000000000000000000\n000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000010000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000100000000\n00000000000000100000000000000000\
000000000000000000000000000000001000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000010000\n0000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
01000000000000000000000000000000000000000000\n00000000001000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000100000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000100000000000000000000000000000001000000000000000000\
000000000000000000\n0000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000010000000000000000000\n00100000000000000000000000000001\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000010000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000\n0000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000000000000000100000000000000000000000\n00000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000100000000000000000000000000000000000000000000\n000010\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000001000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0000010000000000000000000000000000000000000000000000000000000001000000\n000000\
000000000010000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00010000010000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000100100000000100000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010010000010000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000001000000\
00100000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000001001000000010000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000100000000100000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000100000\
00000000100000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001001001000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010010000000000000100000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010010000\
00000000000100000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000001000010000010000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100100000000\
100000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010010000010000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001000010000000000000100000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001001001\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010010000000000000100000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000001000000100000000100000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001001000000010\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000100000000100000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001001000000000000000100","index\
" : 720}
{"Z1" : "100000000000000000000000100000000000\n0000001000000000000000000000000\
00001\n010000000000000000100000000000000000\n000000010000000000000010000000000\
000\n000000000000000000010000000000000010\n00000000000000000000000101000000000\
0\n010000000000000000000000010000000000\n000000010000000000000000000000000010\
\n100000000000000000010000000000000000\n000000100000000000000001000000000000\n\
000000000000000000100000000000000001\n000000000000000000000010100000000000\n00\
1000000000000000000000000001000000\n000000000100000000000000000000001000\n0001\
00000000000010000000000000000000\n000000001000001000000000000000000000\n000000\
000000000001000000000000000100\n000000000000000100000000000010000000\n00010000\
0000000000000000000010000000\n000000001000000000000000000000000100\n0010000000\
00000001000000000000000000\n000000000100000100000000000000000000\n000000000000\
000010000000000000001000\n000000000000001000000000000001000000\n00001000000000\
0000000000000000010000\n000000000001000000000000000100000000\n0000010000000100\
00000000000000000000\n000000000010000000000100000000000000\n000000000000100000\
000000001000000000\n000000000000000000001000000000100000\n00000100000000000000\
0000000000100000\n000000000010000000000000001000000000\n0000100000001000000000\
00000000000000\n000000000001000000001000000000000000\n000000000000010000000000\
000100000000\n000000000000000000000100000000010000\n10000000000010000000000000\
0000000000\n000000000001000000000001000000000000\n0100000000000000000000000000\
00100000\n000000000010000000000000000000000010\n000000000000000000000010000000\
010000\n000000000000010000000000000000000001\n01000000000001000000000000000000\
0000\n000000000010000000000010000000000000\n1000000000000000000000000000000100\
00\n000000000001000000000000000000000001\n000000000000000000000001000000100000\
\n000000000000100000000000000000000010\n000010000000000001000000000000000000\n\
000000000100000000001000000000000000\n000001000000000000000000000010000000\n00\
0000001000000000000000001000000000\n000000000000000000000100000001000000\n0000\
00000000000010000000000100000000\n000001000000000010000000000000000000\n000000\
001000000000000100000000000000\n000010000000000000000000000001000000\n00000000\
0100000000000000000100000000\n000000000000000000001000000010000000\n0000000000\
00000001000000001000000000\n001000000000000000010000000000000000\n000000100000\
000100000000000000000000\n000100000000000000000000010000000000\n00000001000000\
0000000000000000000100\n000000000000001000000000100000000000\n0000000000000000\
00100000000000001000\n000100000000000000100000000000000000\n000000010000001000\
000000000000000000\n001000000000000000000000100000000000\n00000010000000000000\
0000000000001000\n000000000000000100000000010000000000\n0000000000000000000100\
00000000000100\n000000000000100000000000100000000000\n000000000000000000100000\
000000100000\n000000000001000000000000010000000000\n00000001000000000000000000\
0000010000\n000000000010000000010000000000000000\n0000001000000100000000000000\
00000000\n000000000000010000000000010000000000\n000000000000000000010000000000\
010000\n000000000010000000000000100000000000\n00000010000000000000000000000010\
0000\n000000000001000000100000000000000000\n0000000100001000000000000000000000\
00\n000000000000000100000000001000000000\n000000000000000000001000000000000100\
\n001000000000000000000000000100000000\n000010000000000000000000000000001000\n\
000100000000000000000100000000000000\n000001000000001000000000000000000000\n00\
0000000000001000000000000100000000\n000000000000000000000100000000001000\n0001\
00000000000000000000001000000000\n000001000000000000000000000000000100\n001000\
000000000000001000000000000000\n000010000000000100000000000000000000\n00000000\
0000000000000010000010000000\n000000000000000001000000000000000001\n0100000000\
00000000000000000001000000\n000000000100000000000000000000000010\n100000000000\
000010000000000000000000\n000000001000000000000001000000000000\n00000000000000\
0000000001000001000000\n000000000000000010000000000000000010\n1000000000000000\
00000000000010000000\n000000001000000000000000000000000001\n010000000000000001\
000000000000000000\n000000000100000000000010000000000000\n10000000000000000000\
1000000000000000\n000010000000000000000001000000000000\n0100000000000000000000\
00001000000000\n000001000000000000000000000000000010\n000000000000000000000010\
000100000000\n000000000000000000000100000000000001\n01000000000000000000010000\
0000000000\n000001000000000000000010000000000000\n1000000000000000000000000001\
00000000\n000010000000000000000000000000000001\n000000000000000000000001001000\
000000\n000000000000000000001000000000000010\n00000000000100100000000000000000\
0000\n000100000000100000000000000000000000\n0000000000100000000000000000000010\
00\n001000000000000000000000000000100000\n000000000000010000000000000000000100\
\n000000000000000100000000000000010000\n000000000010000100000000000000000000\n\
001000000000010000000000000000000000\n000000000001000000000000000000000100\n00\
0100000000000000000000000000010000\n000000000000100000000000000000001000\n0000\
00000000001000000000000000100000\n000000001000000000010000000000000000\n000000\
100000000010000000000000000000\n000000000100000000000000010000000000\n00000001\
0000000000000000000001000000\n000000000000000001000000100000000000\n0000000000\
00000000100000000010000000\n000000000100000000100000000000000000\n000000010000\
000001000000000000000000\n000000001000000000000000100000000000\n00000010000000\
0000000000000010000000\n000000000000000010000000010000000000\n0000000000000000\
00010000000001000000\n000000000000000000001000100000000000\n000000000000000000\
100000001000000000\n000010000000000000000000010000000000\n00000001000000000000\
0000000100000000\n000001000000000000010000000000000000\n0000001000000000000001\
00000000000000\n000000000000000000000100010000000000\n000000000000000000010000\
000100000000\n000001000000000000000000100000000000\n00000010000000000000000000\
1000000000\n000010000000000000100000000000000000\n0000000100000000000010000000\
00000000\n000000000000000010000000000000100000\n000000000000100000000000000001\
000000\n000000001000000000000000000000010000\n00000000000100000000000000001000\
0000\n000000000100010000000000000000000000\n0000000000100000010000000000000000\
00\n000000000000000001000000000000010000\n000000000000010000000000000010000000\
\n000000000100000000000000000000100000\n000000000010000000000000000001000000\n\
000000001000100000000000000000000000\n000000000001000010000000000000000000\n00\
0000000000000000000010000000001000\n000000000000001000000000000000000001\n0100\
00000000000000000000000000000100\n000100000000000000000000000000000010\n100000\
000000000100000000000000000000\n001000000000000000000001000000000000\n00000000\
0000000000000001000000000100\n000000000000000100000000000000000010\n1000000000\
00000000000000000000001000\n001000000000000000000000000000000001\n010000000000\
001000000000000000000000\n000100000000000000000010000000000000","Z2" : "100000\
000000000000000000000000000000100000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0100000000000000000000000000000000000000010000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00100000000000000000000000000000\
000000100000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000100\
000000000000000000000000000000000010000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000100000000000000000000000000000000001000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000100000000000000000000000000\
000001000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000100000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000\n0000000000000100000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000\n00000000000000100000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000000000000000000000000000\n000000\
000000000100000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000\n0000000000000000100000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000000\n00000000000000000100000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000000100000000000000000000000000000000000000\n000000\
000000000000000000100000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000\n0000000000000000000000000100000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000000000\n00000000000000000000000000100000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000010000000000000000\n000000\
000000000000000000000100000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000\n0000000000000000000000000000100000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000010000000000000\n00000000000000000000000000000100\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000001000000000000000\n000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000100000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000010000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000100000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000100000000000000000000000000000000000000000000000000\n000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000100000\n0000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000001\n00000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000000000000000000000010000\n000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000100\n0000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00000000000000000000000000000000000000000010\n00000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000000000000000000000000000000000000000000000000000001000\n000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000100000000000\
000000000000000000\n0000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000001000000000000000000000000\n00000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000000000000000010000000000000000000000000000\n000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000100000000\
000000000000000000\n0000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000010000000000000000000000000\n00000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000001000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000001000010000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000001000000100000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000010000\
0001000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000010000000100000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000010001000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000001000\
1000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000010000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000100000000000000000000000000000000000000000000\
00000000000001000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000100000000000000000\
0000000000000000000000000000000000010000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000100000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000001000000000000000000000000000000000000000000\
00000000000010000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000100000000000000\
0000000000000000000000000000000000001000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000010000000000\n0000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000010000000\n00000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000000000000000100000000000\n000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000001000000000\n0000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000001000000\n00000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000000000000000000000000000000100000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000010000000000000000000000100000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
10000000000000000000000001000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000000000000100000000000000000000010000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000001000000000000000000000100\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000010\
00000000000000000000000010000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000100000000000000000000000001000000000000000000000\n100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000100000000000000000\
000000000000000000\n0100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000001000000000000000000000000000000\n00100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000000000000000010000000000000000000000000000000000\n000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000100000000000000\
000000000000000000\n0000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000010000000000000000000000000000000\n00000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000000001000000000000000000000000000000000\n000000\
000000000000010000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000\n0000000000000000001000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000\n00000000000000000000010000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000001000000000000000000000000000000000000000000000\n000000\
000000000000001000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000\n0000000000000000000000010000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000\n00000000000000000000001000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000000000000000000000000000\n000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000010000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000001000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000001000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000010000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000010000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000\n0000000000000000000000000000001000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000000000\n00000000000000000000000000000000\
010000000000000000000000001000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000100000000000000000000\n000000\
000000000000000000000000001000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000\n0000000000000000000000000000000000010000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000001000000000000000000000\n00000000000000000000000000000000\
001000000000000000000000010000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000010000000000000000000\n000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000001000000\n0000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000000000000000000000100000000000\n00000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000000000000000000000000000000000000000100000000\n000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000010000000000\n0000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000001000000000\n00000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000000000000000000000010000000\n000000\
100000000000000000000000000000000000100000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000100000000000000000000000000000000000000010000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000100000000000000000000000\
000000000000100000000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000100000000000000000000000000000000000010000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000100000000000000000000000000000000001000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000100000000000000000000\
000000000001000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000001\n0000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000000000000000000000000000100000\n00000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000000000000000000100\n000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000010000\n0000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000001000\n00000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000000000000000000000010\n000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000010000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000010000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000100000000000000000000000001000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
100000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000100000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000010000000000000000000000001000000000000\n000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000010000000000000000000100000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000100000000000000010000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000010000000000000\
0000010000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000001000000000000000100000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000010000000000000000100000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000010000000000\
0000000001000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000010000000000000000000001000000000000000000000000\
0000000000000000000000000000000000000000000001000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000100000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000100000000000000000000000\
0000000000000000000000000000000000000000010000000000000000000000000000","index\
" : 720}
{"Z1" : "100000000000000000000000000000000000000000000000100000000000000000\n0\
10000000000000000000000000000000000000000000000010000000000000000\n00100000000\
0000000000000000000000000000000000000000010000000000000\n000100000010000000000\
000000000000000000000000000000000000000000000\n0000100000000000000100000000000\
00000000000000000000000000000000000\n00000100000000100000000000000000000000000\
0000000000000000000000000\n000000100000000000000001000000000000000000000000000\
000000000000000\n0000000100000000000000000000000100000000000000000000000000000\
00000\n000000001000000000000000000000000000001000000000000000000000000000\n000\
000000100000000000000000000000000000000010000000000000000000000\n0000000000100\
00000000000001000000000000000000000000000000000000000\n00000001000100000000000\
0000000000000000000000000000000000000000000\n100000000000100000000000000000000\
000000000000000000000000000000000\n0000000000000100000000000000000000000000001\
00000000000000000000000\n00000000000000100000000000000000000000010000000000000\
0000000000000\n000000000000000100000000000000000000000000000000010000000000000\
000\n000000000000000010001000000000000000000000000000000000000000000000\n00001\
0000000000000000000000000000000000000000100000000000000000000\n000000000000000\
001000000000100000000000000000000000000000000000000\n0000000000000000001000000\
00000000000000000000000000001000000000000\n00000000000000000001000000010000000\
0000000000000000000000000000000\n000000000000000000001000000000000000000000000\
000000000100000000000\n0000000010000000000001000000000000000000000000000000000\
00000000000\n01000000000000000010000000000000000000000000000000000000000000000\
0\n000000000001000000000010000000000000000000000000000000000000000000\n0000000\
00000000000000001000000000000000000001000000000000000000000\n00000000000000000\
0000000100000000000000000000000000010000000000000\n000000000000000000000000010\
010000000000000000000000000000000000000\n0000010000000100000000000000000000000\
00000000000000000000000000000\n00000000000000000000000000100000001000000000000\
0000000000000000000\n000000000000001000000000000000000010000000000000000000000\
000000000\n000000000000000000000000000100000000000010000000000000000000000000\
\n000000000000100000000000000010000000000000000000000000000000000000\n00000000\
0100000000000000000001000000000000000000000000000000000000\n001000000000000000\
001000000000000000000000000000000000000000000000\n0000000000000000000001000000\
00100000000000000000000000000000000000\n00000000000000000000000000000001000000\
0000000100000000000000000000\n000000000010000000000000000000001000000000000000\
000000000000000000\n0000000000000000000000000000000001010000000000000000000000\
00000000\n000000100000000000000010000000000000000000000000000000000000000000\n\
000000000000000000000001000000000000000010000000000000000000000000\n0000000100\
00000000000000000000100000000000000000000000000000000000\n00000000000000000000\
0000000000000010000000000010000000000000000000\n000000000000000000100000000000\
000001000000000000000000000000000000\n1000000000000000000000000000000000001000\
00000000000000000000000000\n00010000000000000000000000001000000000000000000000\
0000000000000000\n000000000000000000000000000001000000010000000000000000000000\
000000\n000000000000010000000000000000000000001000000000000000000000000000\n00\
0000000000000000010000000000000000000100000000000000000000000000\n000000000000\
000001000000000000000000000001000000000000000000000000\n0000000000000000000000\
00000000010000000000000010000000000000000000\n00000000000000000000000000100000\
0000000000000001000000000000000000\n000000001000000000000000000000000000010000\
000000000000000000000000\n0000000000000000000000000000000000000000100000000010\
00000000000000\n00000000000000000000100000000000000000000100000000000000000000\
0000\n010000000000000000000000000000000000000000100000000000000000000000\n0000\
10000000000000000000000000000001000000000000000000000000000000\n00000000000000\
0100000000000000000000100000000000000000000000000000\n000000000000000000000010\
000000000000000000010000000000000000000000\n0000000000000010000000000000000000\
00000000001000000000000000000000\n00000000000000000000000000000000000000100000\
0000001000000000000000\n000000000000000000000001000000000000000000000100000000\
000000000000\n0000000000000000000000000001000000000000000000000001000000000000\
00\n000000000100000100000000000000000000000000000000000000000000000000\n000000\
000000000010000000000000000000000000000010000000000000000000\n0000000000000000\
00000000000010000000000000000001000000000000000000\n00100000000100000000000000\
0000000000000000000000000000000000000000\n000001000000000000000000000000000000\
000001000000000000000000000000\n0000000000000000000000001000000000000000001000\
00000000000000000000\n00000000000000000000000000000010000000000000000010000000\
0000000000\n000000000000000010000000000000000000000000010000000000000000000000\
\n000000000000000000000000000000000000010000000000010000000000000000\n00000000\
0000010000000000000000010000000000000000000000000000000000\n000000000000000000\
000000000000000010000000000000000001000000000000\n1000000000000000000000001000\
00000000000000000000000000000000000000\n00000000000000000000000001000000000000\
0000000000001000000000000000\n000000000000000000000000000000000001000000000000\
000100000000000000\n0001000000000000000001000000000000000000000000000000000000\
00000000\n000000100000000000000000000000000000000000000001000000000000000000\n\
000000000001000000000000000000001000000000000000000000000000000000\n0000000000\
00000000000000010000000000000000000000100000000000000000\n00000000000000000000\
0100000000000000000100000000000000000000000000\n000000000000000100000000000000\
000000000000000000000010000000000000\n0000000000000000000000100000000000000010\
00000000000000000000000000\n00000000000000000000000000000000000000001000000000\
0000100000000000\n010000000000000000000000000000001000000000000000000000000000\
000000\n000000000000000010000000000000000100000000000000000000000000000000\n00\
0000000000000000000000000000000000000001000000000001000000000000\n000010000000\
000000000000000001000000000000000000000000000000000000\n0000000100000000000000\
00000000000000000000000000000100000000000000\n00000000000000000000000000000000\
0100000000000000010000000000000000\n000000001000000000000000000000000000000000\
000000000001000000000000\n0000000000000000000000000000010000000000000010000000\
00000000000000\n00000000001000000000000010000000000000000000000000000000000000\
0000\n000000000000000000000000000000100000000000010000000000000000000000\n0000\
00000000100000000000000000000000000000000010000000000000000000\n00100000000000\
0000000000000000000000000100000000000000000000000000\n000000000000000001000000\
010000000000000000000000000000000000000000\n0000000000000000000000000000000000\
00000000000001000000100000000000\n00000100000000000000000000000000000010000000\
0000000000000000000000\n000000000000000001000000000000000000000000000000000010\
000000000000\n0000001000000000000000000000000000000000001000000000000000000000\
00\n000000000100000000000000000000000000000000000000000000100000000000\n000000\
000000000000000000000000000000100000000100000000000000000000\n0000000000000000\
00010000000000001000000000000000000000000000000000\n00000000000000000000000000\
0000000000010000000000100000000000000000\n000000000000000000100000000000000000\
000000000000001000000000000000\n0001000000000000000000000000000000000000000010\
00000000000000000000\n00000000000000000000000000100000010000000000000000000000\
0000000000\n000000000000100000000000000000000000000000000000000100000000000000\
\n000100000000000000000000000000000000000000000000010000000000000000\n00001000\
0000000000000000000000000000000000000000000010000000000000\n000001000010000000\
000000000000000000000000000000000000000000000000\n0000001000000000000100000000\
00000000000000000000000000000000000000\n00000001000000100000000000000000000000\
0000000000000000000000000000\n000000001000000000000001000000000000000000000000\
000000000000000000\n0000000001000000000000000000000100000000000000000000000000\
00000000\n100000000000000000000000000000000000001000000000000000000000000000\n\
010000000000000000000000000000000000000000010000000000000000000000\n0010000000\
00000000000000000000000000000000000000100000000000000000\n00000000000000000000\
0000001000000000001000000000000000000000000000\n000000000100000000000000000000\
000000000000000000000000000010000000\n0000000000000000000000000000000000000000\
00000000100000010000000000\n00000000000000000000000100000000000000000000000000\
0000000000010000\n000000000000000000000000000001000000000000000000000000001000\
000000\n000100000000000000001000000000000000000000000000000000000000000000\n00\
0000100000000000000100000000000000000000000000000000000000000000\n000000000000\
000000000000000100000000000000010000000000000000000000\n0000000100000000000000\
00000001000000000000000000000000000000000000\n10000000000000000000000000000000\
0000000000000000000000000000100000\n000000000000000000000000000000000000000000\
000000010000000100000000\n0000000000000000000000000000000100000000000000000000\
00000000000100\n00000000000000000000000000000000000010000000000000000000001000\
0000\n000010000000000000000000000010000000000000000000000000000000000000\n0000\
00000000000000000000000000000010000000000000100000000000000000\n00000100000000\
0000000000000000000001000000000000000000000000000000\n000000001000000000000000\
000000000000100000000000000000000000000000\n0100000000000000000000000000000000\
00000000000000000000000000010000\n00000000000000000000000000000000000000000000\
0000000010000001000000\n000000000000000000000000000000000000001000000000000000\
000000000010\n0000000000000000000000000000000000000000001000000000000000001000\
00\n000000000000000000000000000000000000000010000000010000000000000000\n000000\
000001000000000000000000000000000000000000000000000000010000\n0000001000000000\
00000000000000000000000001000000000000000000000000\n00000000010000000000000000\
0000000000000000100000000000000000000000\n001000000000000000000000000000000000\
000000000000000000000000000100\n0000000000100000000000000000000000000000000000\
00000000000000001000\n00000000000000000000000000000000000000000001000000000001\
0000000000\n000000000000000000000000000000000000000000000010000010000000000000\
\n000000000000000000000000000000000000000000000000100000000100000000\n00000000\
0000000000000100000000000000000000000000000000000000000100\n000000010000000000\
000000000000000000000000000001000000000000000000\n1000000000010000000000000000\
00000000000000000000000000000000000000\n00010000000000000000000000000000000000\
0000000000000000000000000010\n000000000000000000010000000000000000000000000000\
000000001000000000\n0000000000100000000000000000000000000000000000000010000000\
00000000\n000000000000001000000000000000000000000000000000000000000010000000\n\
000000000000000000000000000000000000000000000000010000000001000000\n0000000000\
00000000000000000001000000000000000000000000000000000010\n00000000100000000000\
0000000000000000000000000000000100000000000000\n010000000000000000000100000000\
000000000000000000000000000000000000\n0000100000000000000000000000000000000000\
00000000000000010000000000\n00000000000000001001000000000000000000000000000000\
0000000000000000\n000000000000000000000001000000000000000000000000000000000000\
100000\n000000000000000000000000000000000000000000000000000010000000001000\n00\
0000000000000000000000000000000000100000000000000000010000000000\n000000000100\
000000000000000000000000000000000000000001000000000000\n0010000000000000000000\
00000001000000000000000000000000000000000000\n00000100000000000000000000000000\
0000000000000000000000000100000000\n000000000000001000000000010000000000000000\
000000000000000000000000\n0000001000000000000000000000000000000000000000000000\
00000001000000\n00000000000000000000000000000001000000000000000000000000000001\
0000\n000000000010000000000000000000000000000000000000000000001000000000\n0000\
00000000000000000000000000000000000000100000000000000100000000\n10000000000000\
0000000000000000000000000000000000000000100000000000\n000100000000000000000000\
000000000000100000000000000000000000000000\n0000000000000000000000010000000001\
00000000000000000000000000000000\n00000001000000000000000000000000000000000000\
0000000000000000001000\n000000000000000000000000000000000000001000000000000000\
000000000100\n0000000000000000000100000000000000000000000000000000000000100000\
00\n000000000001000000000000000000000000000000000000000000000001000000\n010000\
000000100000000000000000000000000000000000000000000000000000\n0000100000000000\
00000000000000000000000000100000000000000000000000\n00000000000000000100000000\
0000010000000000000000000000000000000000\n000000001000000000000000000000000000\
000000000000000000001000000000\n0000000000000000000000000000000000000000000100\
00000000000000000010\n00000000000000100000000000000000000000000000000000000000\
0000100000\n000000000000000000000100000000000000000000000000000000000000001000\
\n001000000000000000100000000000000000000000000000000000000000000000\n00000100\
0001000000000000000000000000000000000000000000000000000000\n000000000000100000\
000000000000000000000000000000010000000000000000\n0000000000000000100000000001\
00000000000000000000000000000000000000\n00000000000000000100000000000000000000\
0000000100000000000000000000\n000000000010000000001000000000000000000000000000\
000000000000000000\n0000000000000001000000000000000000000000000000000000010000\
00000000\n000000000000000000100000000000000000000100000000000000000000000000\n\
000000000000010000000000001000000000000000000000000000000000000000\n0000000000\
00000000001000000000000000000000000000100000000000000000\n00000000000000000000\
0000001000000000000000000000000000001000000000\n000000000000000000100000000000\
000000000000000000000000000000010000\n0000000000000000000000000000000000010000\
00000000000000010000000000\n00000000000010000000000000000000000000100000000000\
0000000000000000\n000000000000000000000000000100000000000000000000000000000010\
000000\n000000000000000001000000000000000000000000000010000000000000000000\n00\
0000010000000000000000000000000000000000000000000000000000010000\n000000000000\
000010000000000000000000000000001000000000000000000000\n0000000000000000000000\
00000000000001000000000000000000000000000001\n00001000000000000000000000000000\
0000000000000000000000001000000000\n000000000000000100000000000000000000000000\
000010000000000000000000\n0000010000000000000000000000000000000000000000000000\
00000010000000\n00000000000000000010000000000000000000000000000000001000000000\
0000\n000000000000000001000010000000000000000000000000000000000000000000\n0000\
00000000010000000000000000000000000000000000000000000000000100\n00000000000000\
0000000000000000000000000000000000000001001000000000\n000000000000000000000000\
001000100000000000000000000000000000000000\n0000000000010000000000000000010000\
00000000000000000000000000000000\n00000000000000010000000000000000000000000000\
0000000000000010000000\n000000000000000010000000000000001000000000000000000000\
000000000000\n0000000000000000000010000000000000000000000000000000000000000000\
01\n000000000000000001000000000000000000000000000000000000000100000000\n100000\
000000000000000000000000000000000000000000000000010000000000\n0000000000000000\
00000000000000000000000100000000000000000010000000\n00000000000010000000000000\
0000001000000000000000000000000000000000\n000000000000000000000001000000000000\
000000000000000001000000000000\n0000000000000010000000000000000000010000000000\
00000000000000000000\n00000000000000000000000000000000000000010000000000000000\
0000000100\n000000000000000000000000000000001000000000000000000000000000010000\
\n000000000000000000000000000100000000010000000000000000000000000000\n00000000\
0000000000001000000000000000000000000000000000000000000100\n000000000000000000\
000000000000000000000000000100000000000000010000\n0001000000000001000000000000\
00000000000000000000000000000000000000\n00000000000000000000010000000000000000\
0000100000000000000000000000\n000000000000000000000000001000000000000000000000\
000000000001000000\n0000000000001000000000000000000000000000000000000000000000\
00000001\n000000000000000000000000000000000000000000000010000000000000000100\n\
000000000000000000000000000000000000000000000100000000010000000000\n0000000010\
00000000000000000000000000000000000100000000000000000000\n00000000000001000000\
0000000000000001000000000000000000000000000000\n000000000000000000000000000000\
001000000000000000000000001000000000\n0000000000000000000000000001000000000000\
00000000000000000000001000\n00000000000000000010000000000000000000000001000000\
0000000000000000\n000000100000000000000000000000000000000100000000000000000000\
000000\n000000000000000010000000000000000000000000000000000000010000000000\n00\
0000000100010000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000001000000000001\n0000000000000000000000\
00000000000000000000000010000000000000100000\n00000000000000000000001000010000\
0000000000000000000000000000000000\n000000000000000000000000010000000010000000\
000000000000000000000000\n0000000000000000000100000000100000000000000000000000\
00000000000000\n00000000000000000000000010000000000000000000000000000010000000\
0000\n000000000000000000001000000000000000000000001000000000000000000000\n0000\
00000000000000000000000010000000000000000000010000000000000000\n00000000000000\
0000000000001000000000000000000000001000000000000000\n000000000000000000000000\
000000000000000001000000000000000100000000\n0000000000000000000000000000000000\
10000000000000000000000000100000\n00000001000000000000000000000000000000000000\
1000000000000000000000\n000000000000000000000000010000000000000000000000000000\
000100000000\n1000000000000000000000100000000000000000000000000000000000000000\
00\n000000000000000000000000000000000000000000000000000000100000000001\n000000\
000000000000000000000000000000000000000000001000000000010000\n0000000010000000\
00000000000000000000000000000000000000000000000100\n00000000000000000000000001\
0000000000000000000100000000000000000000\n000000000000000000000000000000000000\
000001000000000000000000000001\n0000000000000000000000001000000000000000000000\
00001000000000000000\n00000010000000000000000000000000000000000000000000000000\
0000100000\n000000000000000000000000000000000000000000000000000000100010000000\
\n000000000000000000000010000000000000000000000000000000000000000010\n00000000\
0000000000000100000000000000100000000000000000000000000000\n000000000000000000\
000000100000000000000000000000000000000000100000\n0000000000000000000000000100\
00000000000100000000000000000000000000\n00000000000000000000000000001000000000\
0000000000000000000000000001\n010000000000000000000000000000000000000000000000\
000000000100000000\n0000000000000000000000000000000000000000000010000000000000\
00100000\n000000000000000000000000000000010000000000000000000000100000000000\n\
000000000000000000000001000000000000000001000000000000000000000000\n0000000000\
00000000000000000000000000000000001000000000000000000010\n00000000000000010000\
0000000000000010000000000000000000000000000000\n000000000000000000000000000010\
000000000000000000000000000000000010\n0000100000000000000000001000000000000000\
00000000000000000000000000\n00000000000001000000000000000000000000000000000000\
0000000100000000\n000000000000000000100000000000000000000000000000000000000000\
000001\n000000000000000000000000000000000000000000000000001000000000000010\n00\
0000000000000000000010000000000000000001000000000000000000000000\n000000000000\
000000000000000000000010000000000000000000001000000000\n0000000000000000000000\
00000010000000000000000100000000000000000000\n00000000000000000000000000000010\
0010000000000000000000000000000000\n000000000000000000000000000000000100000010\
000000000000000000000000\n0000000000000000000000000000000000010000000000000000\
10000000000000\n00000000000000000000000000000000000000001000000000000000000001\
0000\n000000000000000000000000000000000000000000000001000000000001000000\n0000\
00000000000000000000000000100000000000000001000000000000000000\n00000000000000\
0000000000000000000000000010000000000000000010000000\n000000000000000010000000\
000000000000000000000000000000000000000100\n0000000000000000000000000000000001\
00000000000000000000000001000000\n01000000000000000000000000000010000000000000\
0000000000000000000000\n000000000100000000000000000000000000000000000000000000\
000000000010\n0000000000000100000000000000000001000000000000000000000000000000\
00\n000000000000000000000000000000000000000000000001000000000000000001\n000000\
000000000000000000000000100000000000000000000000010000000000\n0000000000001000\
00000000000000000000000000000000000000000000100000\n00000000000000000000000000\
0001000000000000100000000000000000000000\n000000000000000000000000000000000100\
000000001000000000000000000000\n0010000000000000000000000000000000000000000000\
00000000000001000000\n00000000000000000000000000000001000000000000000100000000\
0000000000\n000000000000000000000000100000000000000010000000000000000000000000\
\n000001000000000000000000000000001000000000000000000000000000000000\n00000000\
0000000000000010000000000000000000000000000000000001000000\n000000000000000000\
000000000000000000010010000000000000000000000000\n0000000000100000000000000000\
00000000000001000000000000000000000000\n00000000000000000000000000000000000000\
0000000000000100000000001000\n000000000000000000000000000000100000000000000000\
000000000000001000\n0000000000000000000000000000000000000100000000000001000000\
00000000\n000000000000000000000000010000000000000000000000000000000000000010\n\
000000000000000001000000000000000000000000000000000000000000001000\n0010000000\
00000000000000000000000000010000000000000000000000000000\n00000000000000000000\
0000000000000000000000000000000100000000000001\n000000000000000000000000000000\
000000010000000000000000000100000000\n0000000000010000000000000000000000001000\
00000000000000000000000000\n00010000000000000000000000000000000000000000000000\
0000000000001000\n000000000000000000000000000000000000001000000000000100000000\
000000\n000000000000000000000000000000001000000000000010000000000000000000\n00\
0000000000000000010000000000000000000000000001000000000000000000\n000000000000\
000000000000000000000000000100000000001000000000000000\n0000000000000000000000\
00000000000000010000000000000000001000000000\n00000000000000000000000000000000\
0100000000000000000000010000000000\n000000000000000100000000000000000000000000\
000000000000000001000000\n0000000000000000000000000000000000000000000100000000\
01000000000000\n00000000000000100000000000000000000000000000000000010000000000\
0000\n000000000000000000000000000000000000000000000000100000100000000000\n0000\
00000000000000000000100000000000000000000000000000000000001000","Z2" : "100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010\n0100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000\n0000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000100000000000000000000000000\n00\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000\n000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000\n0000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000000000000000000000000000000000000\n000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000\n000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00\n00000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010\n0000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000\n00000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000001000000000000000000000000000000000000000\
000000\n0000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0100000000000000000000000000000000000000000000\n000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000\n00000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000\n0000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0000000000\n000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000000000000000\n00000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000001000000000000000000000000000000000\n000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000000000\n000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000001000000000000000\n00\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001000000000000000000\n00000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000000000000000000000010000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000\n00000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000000000000000000100000000\n000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000100000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000010000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000100\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000010000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000100\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000001000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000010000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000\n00000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000001000000000000000000000000000000\n10000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000000000000000000000000000\n000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000000000\n01000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000000000000000\n000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000000000000000000000\n00\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000100000000000000000\n000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000001000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000\n0000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000\n0000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000010000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000000000\n000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000\n00000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000100000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000\n0000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000\n00000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000001000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000100000000000000000000000000000000000000\n00000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000000000000000000000000000\n\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000\n00000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
\n0000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000\n00000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000100000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000\n0000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000010000\n00000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000001000000\n000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000\n0000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000\n0000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000100000000000000000000\
000000000000\n0000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000\n00000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000\n0000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000100000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000\n0000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000001\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001\n0000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000","index" : 1320}
{"Z1" : "100000000000000000000000000000000000000000000000001000000000000000\n0\
10001000000000000000000000000000000000000000000000000000000000000\n00100000001\
0000000000000000000000000000000000000000000000000000000\n000100000000000100000\
000000000000000000000000000000000000000000000\n0000100000000000000010000000000\
00000000000000000000000000000000000\n10000000000000000000000001000000000000000\
0000000000000000000000000\n010000000000000000000000000000100000000000000000000\
000000000000000\n0010000000000000000000000000000000010000000000000000000000000\
00000\n000100000000000000000000000000000000000010000000000000000000000000\n000\
010000000000000000000000000000000000000000100000000000000000000\n0000010000000\
00000000000000000000000000000000000001000000000000000\n00000100000000000000000\
0000000000000000001000000000000000000000000\n000000100000000000000100000000000\
000000000000000000000000000000000\n0000000100000000000000000000000100000000000\
00000000000000000000000\n00000001000000000000000000000000000000000000001000000\
0000000000000\n100000001000000000000000000000000000000000000000000000000000000\
000\n000000100000000000000000001000000000000000000000000000000000000000\n00000\
0000100000010000000000000000000000000000000000000000000000000\n000000001001000\
000000000000000000000000000000000000000000000000000\n0000000001000000000000000\
00000000000100000000000000000000000000000\n00000100001000000000000000000000000\
0000000000000000000000000000000\n000000000001000000000000000000000000000001000\
000000000000000000000\n0000000000100000000000000000000000000000000000010000000\
00000000000\n00000000000010000000000000010000000000000000000000000000000000000\
0\n000000000000010000000000000000000000010000000000000000000000000000\n0000000\
00000010000000000000000000000000000000000000100000000000000\n01000000000000100\
0000000000000000000000000000000000000000000000000\n000000000000100000000000000\
000001000000000000000000000000000000000\n0000000000010000000000100000000000000\
00000000000000000000000000000\n00000000000000100100000000000000000000000000000\
0000000000000000000\n000000000010000100000000000000000000000000000000000000000\
000000000\n000000000000000010000100000000000000000000000000000000000000000000\
\n000000000000000001000000000000000000000000000001000000000000000000\n00000000\
0000000100000000000000000000000000000000000010000000000000\n000000000000000000\
100000000000000100000000000000000000000000000000\n0000000000000000000100000000\
00000000000000100000000000000000000000\n00000010000000000001000000000000000000\
0000000000000000000000000000\n001000000000000010000000000000000000000000000000\
000000000000000000\n0000000000000000001000000000000000000010000000000000000000\
00000000\n000000000000000001000000000010000000000000000000000000000000000000\n\
000000000000000100001000000000000000000000000000000000000000000000\n0000000000\
00000000000100000000010000000000000000000000000000000000\n00000000000000000000\
0010000100000000000000000000000000000000000000\n000000000000000000000100000000\
000000000000000000000010000000000000\n0000000100000000000010000000000000000000\
00000000000000000000000000\n00000000000000000000000100000000000000010000000000\
0000000000000000\n000000000000000000000000100000000000000000000000100000000000\
000000\n000000000000100000000000100000000000000000000000000000000000000000\n00\
0100000000000000000010000000000000000000000000000000000000000000\n000000000000\
000000000001000000000000000000010000000000000000000000\n0000000000000000000010\
00010000000000000000000000000000000000000000\n00000000000000000000000000100000\
0000000000000010000000000000000000\n000000000000000000000000000100000000010000\
000000000000000000000000\n0000000000000000000000000000100001000000000000000000\
00000000000000\n00000001000000000000000000010000000000000000000000000000000000\
0000\n000000000000010000000000010000000000000000000000000000000000000000\n0000\
00000000000000000000001000000000000000001000000000000000000000\n00000000000000\
0000000000000001000000000000000000000001000000000000\n000000000000000000100000\
000001000000000000000000000000000000000000\n0000100000000000000000000000100000\
00000000000000000000000000000000\n00000000000000000000000001000010000000000000\
0000000000000000000000\n100000000000000000000000000000010000000000000000000000\
000000000000\n0000000000000000000000000000000010000000000000000001000000000000\
00\n000000000000000000000000000000000100000000100000000000000000000000\n000000\
000000000000000000000000010000000100000000000000000000000000\n0000000000000100\
00000000000000000100000000000000000000000000000000\n00000000000000000001000000\
0000100000000000000000000000000000000000\n000000000000000000000000000000001000\
000000000000010000000000000000\n0000000010000000000000000000000000100000000000\
00000000000000000000\n00000000000000000000000100000000001000000000000000000000\
0000000000\n000000000000000000000000000000100001000000000000000000000000000000\
\n000000000000000000000000001000000000100000000000000000000000000000\n01000000\
0000000000000000000000000000010000000000000000000000000000\n000000100000000000\
000000000000000000001000000000000000000000000000\n0000000000000000000000000000\
00000000000100000000100000000000000000\n00000000000000000000000000000000000001\
0000001000000000000000000000\n000000000000000000010000000000000000000100000000\
000000000000000000\n0000000000000000000000001000000000010000000000000000000000\
00000000\n000000000000000000000000000000000000001000000000000000100000000000\n\
000000000000001000000000000000000000100000000000000000000000000000\n0000000000\
00000000000000000000000001000010000000000000000000000000\n00000000000000001000\
0000000000000000000001000000000000000000000000\n000000000000000000000000000000\
001000000001000000000000000000000000\n0010000000000000000000000000000000000000\
00100000000000000000000000\n00000000000010000000000000000000000000000001000000\
0000000000000000\n000000000000000000000000000000000000000000001000000001000000\
000000\n000000000000000000000000000000000000000000100000010000000000000000\n00\
0000000000000000000000100000000000000000001000000000000000000000\n000000000000\
000000000000000001000000000010000000000000000000000000\n0000000001000000000000\
00000000000000000000010000000000000000000000\n00000000000000000000000000000000\
0000000010000100000000000000000000\n000000000001000000000000000000000000000000\
000010000000000000000000\n0000000000000000000000100000000000000000000000010000\
00000000000000\n00000000000000000000000000000000000000100000000100000000000000\
0000\n000100000000000000000000000000000000000000000000100000000000000000\n0000\
00000000000000100000000000000000000000000010000000000000000000\n00000000100000\
0000000000000000000000000000000000010000000000000000\n000000000000000000000000\
000000000000000000000000100000100000000000\n0000000000000000000000000000010000\
00000000000000010000000000000000\n00000000000000000000000000000000001000000000\
0100000000000000000000\n000000000000000000000000000000000000000000000100001000\
000000000000\n0000000000000000000000000000000000001000000000000010000000000000\
00\n000000000000000001000000000000000000000000000000000100000000000000\n000000\
000000000000000000000010000000000000000000000010000000000000\n0000000000000000\
00000000000000000000000000010000000010000000000000\n00001000000000000000000000\
0000000000000000000000000001000000000000\n000000000000000000000001000000000000\
000000000000000100000000000000\n0000000000000010000000000000000000000000000000\
00000000100000000000\n00000000010000000000000000000000000000000000000000000100\
0000000000\n000000000000000000000000000000000010000000000000000000100000000000\
\n000100000000000000000000000000000000000000000100000000000000000000\n00001000\
0000000000000000000000000000000000000000001000000000000000\n100001000000000000\
000000000000000000000000000000000000000000000000\n0100000000100000000000000000\
00000000000000000000000000000000000000\n00100000000000010000000000000000000000\
0000000000000000000000000000\n000100000000000000001000000000000000000000000000\
000000000000000000\n0000100000000000000000000100000000000000000000000000000000\
00000000\n100000000000000000000000000000100000000000000000000000000000000000\n\
010000000000000000000000000000000001000000000000000000000000000000\n0010000000\
00000000000000000000000000000010000000000000000000000000\n00000000000000000000\
0000000000000000100000000000000000010000000000\n000000000000000000000010000000\
000000000000000000000000000000000010\n0000000000000010000000000000000000000000\
00000000000000010000000000\n00000000000000000001000000000000000000100000000000\
0000000000000000\n000000000000000000010000000000000000000000000000100000000000\
000000\n000000000000000000000000001000000000000000000000000000000000001000\n00\
0000000000000000000000000000000010000010000000000000000000000000\n000000000000\
000000000000000000000000100000000100000000000000000000\n0000000000000000000000\
00000000000000000001000000000000001000000000\n00000000000000000000000000001000\
0000000000000000000000010000000000\n000000000000000010000000000000000000000000\
000000000000001000000000\n0000000000000000000000001000000000000000000100000000\
00000000000000\n00000000000000000000000010000000000000000000000000000100000000\
0000\n000000000000000000000000000000001000000000000000000000000000000100\n0000\
00000000000000000000000000000000001000000000000000000000000010\n00000000000000\
0000000000000000000000000001000000001000000000000000\n000000000000000000000000\
000000000000000000000001000000000100000000\n0000000000000000000000000000000100\
00000000000000000000001000000000\n00000000000000000000001000000000000000000000\
0000000000000100000000\n000000000000000000000000000001000000000000000010000000\
000000000000\n0000000010000000000000000000010000000000000000000000000000000000\
00\n000000000000001000000000000000000010000000000000000000000000000000\n000000\
000000000000000000000000000000000000010000000000010000000000\n0000010000000000\
00000000000000000000000000000001000000000000000000\n00000000000000000000000000\
0000000000000000000000000010000010000000\n000000000000000000000000000000000000\
010000000000000000000100000000\n0000000000000000000000000000100000000000000000\
00000000000010000000\n00000000000000000000000000000000001000000000000000010000\
0000000000\n000000100000000000000000000000000000100000000000000000000000000000\
\n000000000000000010000000000000000000100000000000000000000000000000\n00000000\
0000000000000000000000000000000000000010000000001000000000\n000000000010000000\
000000000000000000000000000000000010000000000000\n0000000100000000000000000000\
00000000000000000000000000000001000000\n00000000000000000000000000000000000000\
0000100000000000000010000000\n000000000000000000000000000000010000000000000000\
000000000001000000\n0000000000001000000000000000000000000000010000000000000000\
00000000\n000000000000000000000010000000000000000001000000000000000000000000\n\
000000000000000000000000000000000000000000000000000100000100000000\n0000000100\
00000100000000000000000000000000000000000000000000000000\n00000000000001000000\
0000000000000000000000000000000000000000100000\n000000000000000000000000000000\
000000000000000000100000000001000000\n0000000000000000000000000000000000000100\
00000000000000000000100000\n00000000000000000010000000000000000000000000000100\
0000000000000000\n000000000000000000000000000010000000000000000001000000000000\
000000\n000000100000000000000000000000000000000000000000000000000010000000\n00\
0000000000010000001000000000000000000000000000000000000000000000\n000000000000\
000000010000000000000000000000000000000000000000010000\n0000000000000000000000\
00000000000000000000000000000001000000100000\n00000000000000000000000000000000\
0000000000100000000000000000010000\n000000000000000000000000000000000000000000\
000000100000000000001000\n0000000000000000000000010000000000000000000000000000\
10000000000000\n00000000000000000000000000000001000000000000000000001000000000\
0000\n000000000000100000000000000000000000000000000000000000000001000000\n0000\
00000000000000010000010000000000000000000000000000000000000000\n00000000000000\
0000000000100000000000000000000000000000000000001000\n000000001000000000000000\
000000000000000000000000000000000000010000\n0000000000000010000000000000000000\
00000000000000000000000000001000\n00000000000000000000000000000000000000000000\
0000000001000000000100\n000000010000000000000000001000000000000000000000000000\
000000000000\n0000000100000000000000000000000000000100000000000000000000000000\
00\n000000000000000000100000000000000000000000000000000000000000100000\n000000\
000000000000000000100000100000000000000000000000000000000000\n0000000000000000\
00000000000001000000000000000000000000000000000100\n00000000000000000000000000\
0000000010000000000000000000000000000010\n000000000000000010000000000000000000\
000000000000000000000000000100\n0000000010000000000000000000000000000000000000\
00000000000000000010\n00000000000001000000000000000000100000000000000000000000\
0000000000\n000000000000010000000000000000000000000000100000000000000000000000\
\n000000000000000000000001000000000000000000000000000000000000010000\n00000000\
0000000000000000000001000001000000000000000000000000000000\n000000100000000010\
000000000000000000000000000000000000000000000000\n0000000010000000000000000000\
00010000000000000000000000000000000000\n00000100000100000000000000000000000000\
0000000000000000000000000000\n000000000100000000000000000000000000000000000000\
001000000000000000\n0000000010000000000000000000000000000000000000100000000000\
00000000\n000000010000000000000100000000000000000000000000000000000000000000\n\
000000000100000000000000000000000000000001000000000000000000000000\n0000000000\
00000000000000000000000010000000000000000000010000000000\n00000000000000000001\
0000000000000000000000000000000000000000001000\n000000000000000000000010000000\
000000001000000000000000000000000000\n0000000000000000000000000000000000000000\
00000100000000010000000000\n00000000000000000000000000000000000000001000000000\
0000000000000010\n000000000000000000000010000000000000000000000000100000000000\
000000\n000000000000001000000000001000000000000000000000000000000000000000\n00\
0000000000000000000000000000000000000000000000000100000000010000\n000000000000\
000000000000000000000000001000000000000000000010000000\n0000000000000000000000\
00010000000100000000000000000000000000000000\n00000000000000000000000000000000\
0000000000000000010000000000000100\n001000000000000000000100000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000100\
00000000010000\n10000000000000000000000000000000000000010000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000010000001000000\n0000\
00000000000000000000000000000000000000010000000000000001000000\n00000000000000\
1000000000000000000000000000000000000100000000000000\n000000000000000000000000\
000000000000000100000000000000000000010000\n0000000000000000000000000100000000\
00000000000000001000000000000000\n00000000000000000000000000000000000100000000\
1000000000000000000000\n000000000010000000000000000000000000000000000000000000\
000000000001\n0100000000000000000000000000000000000000000010000000000000000000\
00\n000000000000000000000000000000000100000000000000000000000010000000\n000000\
000000000001000000000000000000000000000000000010000000000000\n0000000000000000\
00100000000000000000000000000000000000000000000010\n01000000000000000000000000\
0000000000000000000000000000000100000000\n000000000000000000000000010000000000\
000000000000000000000000000001\n0000000000000000001000000000100000000000000000\
00000000000000000000\n00000000000000000010000000000000000000000000000000000100\
0000000000\n000000000000000000001000000000000000000000000000000000000000000001\
\n001000000000000000000000000000000000000000000000010000000000000000\n00000000\
0001000000100000000000000000000000000000000000000000000000\n000000000000000000\
000000100000000000000000000000000000000000000100\n0000000000000000000000000000\
00000000000000001000000000000000100000\n00100000000000000000000000000000000000\
0000000000000000000010000000\n000000000000000000000000000000000001000000000000\
000000000000000001\n0000000000100000000000000000000000000000000000000000000000\
10000000\n000000000000000000001000000000000000000000000100000000000000000000\n\
000000000000000000000000000100000000000000000000000000000001000000\n0000000000\
00000010000000000000001000000000000000000000000000000000\n00000000000000000000\
0000000000000000000100010000000000000000000000\n000000000000000000000000100000\
000000000100000000000000000000000000\n0001000000000000000000000000000000000000\
00000000000000000001000000\n00000000000000000000000000010000000000000000000000\
0000000100000000\n010000000000000000000000000000000000000000000000000000000000\
001000\n000000000000000001000000000000000000000000000000000000000100000000\n00\
0000000000000000001000000000000000000000000000000000000000100000\n000000000000\
000000000000000000000000000000001010000000000000000000\n0000000000000000000000\
00000100001000000000000000000000000000000000\n00000000000010000000001000000000\
0000000000000000000000000000000000\n000000000000001000000000000000000000010000\
000000000000000000000000\n0000000000100000010000000000000000000000000000000000\
00000000000000\n00000000000001000000000000010000000000000000000000000000000000\
0000\n000000000001000000000000000000000000000000000001000000000000000000\n0000\
00000000000000000000000000000000100000000000000000001000000000\n00000000000000\
0000000000000010000000000000010000000000000000000000\n000000000000000000000000\
000000000000000000000000001000001000000000\n0000000000000000000000000000100000\
00000000000000000001000000000000\n00100000000000000000000000000000000000000000\
0000000000000000000100\n000000000000000000000100000000000000000000000000000000\
000010000000\n0000000000000000000000000100000000000000000000000000000000000100\
00\n000000000000000000000000000000000000000000000000010100000000000000\n000000\
000000000000000000000000000100001000000000000000000000000000\n0000001000000000\
00000000000000000000000000000000000000000000001000\n00000000000000000000000000\
0000100000000100000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000100000000010\n0001000000000000000000000001000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000010\
0000001000\n000000010000000000000000000000000000000000000000000000000000100000\
\n000000000000000000000000000000000000000000000010000000000000100000\n00000000\
0000000000000000000000000000000000001000000000000000001000\n000001000000000000\
000000000000100000000000000000000000000000000000\n0000000000000000000000000000\
00000000000010000000010000000000000000\n00000000000000010000000000000000000000\
0000000000000000000000000001\n000000000000000000000000000000000000000100000000\
000000000001000000\n0000000000000000000000010000000000000000000000000000000100\
00000000\n000000000000000000000000000000100000000000000000000000000000000001\n\
000000000000000000000001000000010000000000000000000000000000000000\n0000000010\
00000000000001000000000000000000000000000000000000000000\n00010000000000000000\
0000000000000000000000000000000000100000000000\n000000000000000001000001000000\
000000000000000000000000000000000000\n0000000000000000000000000000010000000000\
00000000000000000000000010\n00000000000000000000000000000000000000001000000000\
0000000000000001\n000000000000000100000000000000000000000000000000000000000001\
000000\n000000000000000000000000000000000100000000000000000000000000100000\n00\
0000000000000000000000000001000000000000001000000000000000000000\n000010000000\
000000000000000000000000000000000000000000000000100000\n0000000000000000100000\
00000000000000000000100000000000000000000000\n00000000000000010000010000000000\
0000000000000000000000000000000000\n000000000000000000010000000000000100000000\
000000000000000000000000\n0000000000000000000000000000000000000000010000000000\
00000100000000\n00000000000000000000000000000001000000000000001000000000000000\
0000\n000001000000000000000000000000000000000000000000000000000100000000\n0000\
00000000000000000000000000000010000000000000010000000000000000\n10000000000000\
0000000000000000000000000000000000000000000000010000\n000100000000000000000000\
000000000000000000000000000000000000000010\n0000000000000000000000000000001000\
00000000000000000000000000001000\n00000010000000000000000000000000000000000000\
0000000000100000000000\n000000000000100000000000000000000000000000000000000000\
000000000100\n0000000001000000000000000000000000000000000000000000000100000000\
00\n000010000000000000000000000000000100000000000000000000000000000000\n000000\
000100000000000000000000000000000000000000000000000000000100\n0000000000000100\
00000000000000000000000000000000000000000000010000\n00000000001000000000000000\
0000000001000000000000000000000000000000\n000000000000000000000000000000000000\
000000000100000000100000000000\n0000000000000000000000000010000000000000000000\
00000000001000000000\n00000000000000000000000000100000000001000000000000000000\
0000000000\n000010000100000000000000000000000000000000000000000000000000000000\
\n000000000000000000000100001000000000000000000000000000000000000000\n00000000\
0000000000000000000000000000000000000100000000000000000001\n000000000000000000\
001000000100000000000000000000000000000000000000\n0000000000000000000000000000\
00000000000000000001000000000010000000\n00000000000000000000000000000000000001\
0000000000000100000000000000\n000000000000000000000000000000000000000000000000\
001000000000000001\n0000000000000000000000000000000000001000000000000000001000\
00000000\n000010000000000000000000000000000000000000000000000000010000000000\n\
000000000000000000000000000000000001000000000000000000000000000100\n0000000001\
00100000000000000000000000000000000000000000000000000000\n00000000000100000000\
0000000000000000000000000000000000001000000000\n000000000001000000000000000000\
000000000000000000000000000000000010\n0000000000000001000000000000000000000000\
10000000000000000000000000\n00000000000000000000000000000000100000000000000000\
0000000100000000\n000000000000000000000000000000001000000000100000000000000000\
000000\n100000000001000000000000000000000000000000000000000000000000000000\n00\
0000100000000000000000000000000000000000100000000000000000000000\n010000000000\
000001000000000000000000000000000000000000000000000000\n0000010000000000000000\
00000000000000000000000000000000000000000001\n10000000000000000000000000000000\
0000000000000000000000001000000000\n000000000000000001000000000000000000000000\
000000000000010000000000\n0000000000000000000000000000000000000010000000001000\
00000000000000\n00000000000010000000000000000000000000000000000010000000000000\
0000\n000000000000000000000000000000000000000000010000000001000000000000\n0000\
00000000000000000100000000000000000000000000000000001000000000","Z2" : "100001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0100001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000\n00100001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000000000000\n000100001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000\n0000\
100001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000001100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000100010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000\n0000000000000110000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000100000000000000000000000000000000000000000\n00\
000000000000010010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000\n000000000000000001010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000010100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
010000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000001000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000001100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000100000000000000000000\n00000000000000000000000000100100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000010000000\n000000000000000000\
000000000000100100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000100000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000100000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000010\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000011000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00\n00000000000000000000000000000000000000001000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000001010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000001000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000010001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000011000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100\n0000000000000000000000000000000000000000000000000010\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000010000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000010100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000010000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000011000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000100000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000100100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000100001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000101000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000011000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000001000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000001000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000001001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000001000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000001010000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000011000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001010000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000100000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000110000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001010000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001100000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000110000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001010000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000101000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010000000000000000000000000000000000000\n00000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000110000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000010\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000100000000000000000\n000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000011000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010\n00000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000010100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001100000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000100000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000010100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000110000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000001000000000000000000000000000\n000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000\n00000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000011000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000011000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000101000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000110000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000010010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001000000000000000000000000\n00000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000001000\n00000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000000000\n000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000010000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000001000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010100000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n01000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001100000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000001000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001010000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000100000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000010001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000010000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000101000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000101000000000000000000000000000000000000000000000000000\
000000000000000000000010\n0000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000010000000000000000000000000000000000000000000\n000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000010000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000001000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000001\n000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000011000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000100000000000000\n000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000110000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000010000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000\n0001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000100000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000\n0000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000010000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000100000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000000000000000\n00000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001010000000000000000000000000000000000000000\n\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000100000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000010\
00000000000000000000000000000000000000\n00000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000010000\n000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000000000000000000000\n000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000001000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000100000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000010000000000000000000000000\n000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100010000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000000000000000000100\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000010000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000\n000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000100000000000000000000000000000000000000\n0000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000010000000000001000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000100000000\
0000000000\n000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001\n0000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000001000000000000000000000000000000000000000\n000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000\n0000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00010000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0100000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000001000000000000000000000000000\n0000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000010000000000000000000000000000000000000000000000000\n00\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000100000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000\n0000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000010000000001000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000100000000000\n00000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000010000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000","index" : 1320}
{"Z1" : "100000000000000000000000000000000000000000100000000000000000000000000\
000\n000000000000000000000000000000000000000000100000000000100000000000000000\
\n000000000000000000001000000000000000000000000000000000000000001000000000\n00\
0000000000000000000000000000000000000000001010000000000000000000000000\n000000\
000000000000000100000000000010000000000000000000000000000000000000\n0000000000\
00000000001000000000000000000000000000000010000000000000000000\n00100000000000\
0000000000000000000000000000000000000000000000000000000010\n000100000000000000\
000000000000000000000000000000010000000000000000000000\n0000000000000000000000\
00000000000010000000000000000000000000001000000000\n00000000000000000000000000\
0000000000000000001000000000000000000000000001\n000000000000000001000100000000\
000000000000000000000000000000000000000000\n0000001000000000000010000000000000\
00000000000000000000000000000000000000\n00100001000000000000000000000000000000\
0000000000000000000000000000000000\n000110000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
00000010000100000000000000\n00000000000010000000000000000000000000000000000000\
0000000000000000000010\n001000000000000000000000000000000000000000100000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000100000010\
00000000000000\n00000000000000000000010000000000000000000000100000000000000000\
0000000000\n000001000000000000000000000000000000000000000000000010000000000000\
000000\n0100000000100000000000000000000000000000000000000000000000000000000000\
00\n000000000000100000000000001000000000000000000000000000000000000000000000\n\
000100000010000000000000000000000000000000000000000000000000000000000000\n0000\
00000000000000000000000000000000000000000010000000010000000000000000\n00000000\
0000000000001000000000000000000000001000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000100100\n0000000010000000\
00000000000000000000000000000000000000100000000000000000\n00000001000000000000\
0000000000000001000000000000000000000000000000000000\n000000000000000001000000\
000000000000000000000000001000000000000000000000\n0000000000000000000000100000\
00000000000000000000000000000000001000000000\n10000000000000000000000000000000\
0000000000000000000000000000000000100000\n000000000000000000000000000000000100\
000000000000010000000000000000000000\n0000000000000100000000000000000000000000\
00000000000010000000000000000000\n00000000000000000000000000000000000000000000\
0000000000000000000011000000\n000000000000000000000000000000000000000000000000\
000000000001000000001000\n0000000000000000000000000000000000000000000000010000\
00000000000000000100\n00000000000000000000000001000000000000000000010000000000\
0000000000000000\n000000000000000000000000000100000000000000000000000000000000\
100000000000\n0000000000000000000000100000000010000000000000000000000000000000\
00000000\n00000000000000000000010000000000000000000001000000000000000000000000\
0000\n000000000000000000000000000000000000000001010000000000000000000000000000\
\n000000000000000000000000000100000000000000000000001000000000000000000000\n00\
0000000000000000000000000000000000000000000000000000000100000000100000\n000000\
000010000000000000000000000000000000000000000000000000000000000010\n1000000000\
00000000000000000000000000000000000000000000001000000000000000\n00000100000000\
0000000010000000000000000000000000000000000000000000000000\n000000000010000000\
000000000000000000000000000000000000000000000000000001\n0000001000001000000000\
00000000000000000000000000000000000000000000000000\n00010000000000000000000000\
0010000000000000000000000000000000000000000000\n000000100000000000000000000000\
000000000000000010000000000000000000000000\n0000000000000000100010000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
0100000000000000000000000000000100\n000000001000000000000000000000000000000000\
000000000000000000100000000000\n0000000000000000100000000000000000010000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
1000001000000000000000\n000000000000000000000000000000000000000010000000000010\
000000000000000000\n1000001000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000001000000000000\
0000000001\n000000000000000000000000000000000000000000001000000000000000000000\
001000\n0000000000000000000000000000000000000000000000000000100000000000000000\
01\n000000000000000000000000000000000000001000000000000000000000000010000000\n\
000000000000000000000001000000000000000000000000000000000001000000000000\n0000\
00000000000000000000000000100000000000000000000000000000000000000100\n00000000\
0000000000000000000000000000000000000100000000000000000100000000\n000000000000\
000000000000000100000000000000000000000000000010000000000000\n0000100000000000\
00000010000000000000000000000000000000000000000000000000\n00001000000000000000\
0100000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000001000000000000000000000010000000\n0000000000000000000000000001\
00000000000000000000000000000000000010000000\n00000000000000000000000000100000\
0000000000000000000000000000000001000000\n000000000000000000000000000000000100\
000000000000000000000001000000000000\n0000000000000000000010000000000000000000\
01000000000000000000000000000000\n00000000000011000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000001000000000000001000\n0000000000000000000000000000000000000000000100010000\
00000000000000000000\n00000000000000000000001000000000000000000000100000000000\
0000000000000000\n000000000000000000000000010000000000000000000000000000000100\
000000000000\n1000000000100000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000010000000000000000000001000\
0000\n000000000000000000000000000000000000000000000000000000000001001000000000\
\n000000000000000000000100000000000000000000000000000000000000000000000100\n00\
1000000000000000000000000000000000000000000100000000000000000000000000\n000100\
000000000000000000000000000000000000100000000000000000000000000000\n0000000000\
00000010000000000000001000000000000000000000000000000000000000\n00000000000000\
0000000000000000010000000000010000000000000000000000000000\n000000000000000000\
000000000000000000000000001000000000000000000000000100\n0000000010100000000000\
00000000000000000000000000000000000000000000000000\n00000000000010000000000000\
0000000001000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000010001000000000000000000000\n0000000000000000000010000000000000\
00000000000000000001000000000000000000\n00000000000000000000000000001000000000\
0000000000000000000000000000100000\n000000010000000000000000001000000000000000\
000000000000000000000000000000\n0000000000000000000000010000000001000000000000\
00000000000000000000000000\n00000000000001000000000001000000000000000000000000\
0000000000000000000000\n010000000000000000000000000000000000000000000000001000\
000000000000000000\n0000000000000000000000001000000000100000000000000000000000\
00000000000000\n00000100000000000000000000000000000000001000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000100001000000000\
000000\n0000000000000000000000000000000000000000000000000000010000000100000000\
00\n000000000000000000000000000000000000010000000000000000000100000000000000\n\
000001000000000000000000000000000000000001000000000000000000000000000000\n0000\
00000000100000000000000000000000000000100000000000000000000000000000\n00000000\
0000000000000000000100000000000000000000000000001000000000000000\n000000000000\
000000000000000000001000000000000000000000000000000000000001\n0100000000000000\
00000000000000000000000100000000000000000000000000000000\n10000000000000010000\
0000000000000000000000000000000000000000000000000000\n000000000000010000000000\
001000000000000000000000000000000000000000000000\n0000000000000000000100000000\
00000000000000000000000000010000000000000000\n00000000000000000000000000000000\
0000000000001000000010000000000000000000\n000000000000000000000000000000000000\
000000000000000010000000000000010000\n0000000000000000000000011000000000000000\
00000000000000000000000000000000\n00100000000000000000000000000000000000000000\
0000000000000100000000000000\n000000000000000000000000000000000000001000000000\
000000000000100000000000\n0000000000000000000000000000000000010000000000000000\
01000000000000000000\n00000000000000000000000000000000000000000000000000010000\
0000000000000001\n000000000000000001000000000000000000000000000000000000010000\
000000000000\n0000001000000000000000000000000000000010000000000000000000000000\
00000000\n00001000000000000000000000000000000000000000000000000000001000000000\
0000\n000000000100000000000000000000000000001000000000000000000000000000000000\
\n000000000000000000000001000000000001000000000000000000000000000000000000\n00\
0000000000000000000000000000100000000001000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000100100000\n0100000000\
00000000000000000000000000000000000000000000100000000000000000\n00000000001000\
0000000000000000000000000100000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000001000000000100000000000\n0000000000000000100000\
00000000000000000000000000000000000000000001000000\n00000000000000000000000000\
0000000000000000000000000000000100000000001000\n000000000000000000000000000000\
000010000000000000000000100000000000000000\n0000000000000000000000000000000000\
00001000000000000000000000000000000010\n00000000000000000000000000000000000100\
0000000000010000000000000000000000\n000000000000000000000001000000000000000000\
000000000000000000100000000000\n0000000000000000001000000000000010000000000000\
00000000000000000000000000\n00000000000001000000100000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000100000000000000000000\
010000000000000000\n0000000000000100000000000000000000000000000000000000000000\
00000000010000\n00001000000000000000000000000000000010000000000000000000000000\
0000000000\n000000000000000010000000000000000000000000000000001000000000000000\
000000\n0000100000000000000000000000000000000000000000000001000000000000000000\
00\n000000000000000000000000000010000000000000010000000000000000000000000000\n\
000000000000000000000010000000000000000000000000000000000001000000000000\n0000\
00000000000000000000000000000000100000000000000000000000000010000000\n00000000\
0000000000000100000000000000000000000000000100000000000000000000\n000000000000\
000000000000000000010000000000000000000000000000000000010000\n0000000001000000\
00000000000000000000000000000000000000000000100000000000\n00000000000000010000\
0000000001000000000000000000000000000000000000000000\n000000000000000000000000\
000001000000010000000000000000000000000000000000\n0000000000000010000000000000\
10000000000000000000000000000000000000000000\n00000100000000000010000000000000\
0000000000000000000000000000000000000000\n000000000000000001000000000000000000\
000000000000000000000000000001000000\n0000000000000000000000000000000000000000\
00000000000000000000000100000100\n00000000010000000000001000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000100000000100000000\
000000000000000000000000\n0001000000000000000000000000000001000000000000000000\
00000000000000000000\n00000000000000100000000000000000000000000000000000000000\
0000000000000100\n000000000000000000000000000000000000000000000000000000010000\
000000001000\n0000000000000010000000000001000000000000000000000000000000000000\
00000000\n00000000100000000000000000000000000000000001000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000001000000000000001000000\
\n000000000000000000000000000000000000010000000000000000000000000100000000\n00\
0000000000000100000000000000000000000000010000000000000000000000000000\n000000\
000000000000000010000000000000000000000000000000000000000001000000\n0000000000\
00000000000000000000000000000000000000000000000101000000000000\n01000000000000\
0000000000000000100000000000000000000000000000000000000000\n000000000000001000\
000100000000000000000000000000000000000000000000000000\n0000000000000000000000\
00100000000000000000000000000000000000000000100000\n00000000000000000000000000\
0000000000001001000000000000000000000000000000\n000000000000000000000000000000\
000000000000000011000000000000000000000000\n0000000000001000000000000100000000\
00000000000000000000000000000000000000\n00000000000000000000000000000001000000\
0000000000000010000000000000000000\n000000000000000001000000000000000000000000\
000000010000000000000000000000\n0000000000000000000000010001000000000000000000\
00000000000000000000000000\n00000000000000000000000001000000000000000100000000\
0000000000000000000000\n000001000000000000000000000010000000000000000000000000\
000000000000000000\n0000000000000000100000000000000000000000000000000000000010\
00000000000000\n00000000000000000000000000100000000000001000000000000000000000\
0000000000\n000000100000000000000000000000000000000000000000000001000000000000\
000000\n0000000000000000000000000000000000000000000100000000001000000000000000\
00\n000000000000000000000000000100000000000000000000000000000000010000000000\n\
000000000000000000000000000000000000000010000000000000000000000000000001\n0100\
00100000000000000000000000000000000000000000000000000000000000000000\n00000000\
0000000000000000001000000000000000000000000000100000000000000000\n000000000000\
000000000000000000000000000000000000000000010000000000010000\n0010000000000000\
00100000000000000000000000000000000000000000000000000000\n00000000000000000000\
0000000000000000000000000000000001000000000100000000\n000000000000000000000000\
000000000000000000000000000100000000000100000000\n0000000001000000000000000000\
00000000000000000000000000010000000000000000\n00000000000000000000000000000000\
0000001100000000000000000000000000000000\n000000000000000000000000001000000100\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
00000000000000000010000000000100\n00000000010000000000000000000000000000000000\
0000000000000000000000010000\n000000000000000000000000000000000001000000000000\
000000001000000000000000\n0000000000000000000000000000000000000000000000000000\
00000000000000100001\n01000000000000000000000000000001000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000001000000000000\
000000100000\n0000000000000000000000000000000000000000000000000000000000000010\
01000000\n00000000001000000000000000000000000000000000000001000000000000000000\
0000\n110000000000000000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000000100000000100000000000000000000000000000000000000\n00\
0000000001010000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000010000000000000100000000000000000\n0000000000\
00000000000000000000000000000000000000000000000000000000001010\n00000000000000\
0000000000000000000000000000000010000000000000100000000000\n000000000000000000\
001000000000000000000000000010000000000000000000000000\n0000000000000000000000\
00000010000100000000000000000000000000000000000000\n00000000000001001000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000100000000000000010000000\n0000100010000000000000000000000000\
00000000000000000000000000000000000000\n00001000000000000000000000000000000000\
0000000000000000000001000000000000\n000000000000000000000000000000100000100000\
000000000000000000000000000000\n0000010000000000000000000000000000000000000000\
00000000000100000000000000\n00000000000000000000010000000001000000000000000000\
0000000000000000000000\n000000000000000000010000000000000000000000000000000000\
000000000000010000\n0000000000000000000000000000000010000000000000000000000000\
00100000000000\n00000000000000000000000000000000000001000000000000000100000000\
0000000000\n000000000000010000000000000001000000000000000000000000000000000000\
000000\n0000000000000010000000000000000000000000000000000000000000000100000000\
00\n000000000000000000100000000000000000000100000000000000000000000000000000\n\
000000000000000000000000000000000000100000000000000000000000000001000000\n0001\
00001000000000000000000000000000000000000000000000000000000000000000\n00000000\
0000001000000000000000000000000000000000100000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000010000000001000\n0010100000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
0000000000000001000000000000000000000000000000001000\n000000000000000000000000\
000000000000000000000000001000100000000000000000\n0000000000000000000000000000\
00000000000000000000000000000000001010000000\n00100000000000000000000000000000\
0000010000000000000000000000000000000000\n000000000000000100000000000000000000\
000000000000000000000000000010000000\n0000000000000000000000000000100000000000\
00000000000000000100000000000000\n00110000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000001100\n0000000000000000100000000000001000000000000000000000\
00000000000000000000\n00000000000000000000000000000001000010000000000000000000\
0000000000000000\n000000000000000000000000000000000000010000000000000100000000\
000000000000\n0000000000000000000000000000000000000000000000010000000000100000\
00000000\n00000000000000000000000000000000000001000000000000001000000000000000\
0000\n000000000000000000000000000000000000000000001000000000010000000000000000\
\n000000000010000000000000000000000000000000000000000000000000000000010000\n00\
0000100000000000000000000000000000000010000000000000000000000000000000\n000000\
000100000000000000000000000000000000000000000000000000000001000000\n0001000000\
00000000000000000100000000000000000000000000000000000000000000\n00000000000000\
0000000000000000000010000000000010000000000000000000000000\n000000000000000000\
000000000001000000000000000000000000000000001000000000\n0000000000000000000000\
00000000000000100000000000000000000000000000000010\n00000000000000000000000000\
0000000000000000000000000000001010000000000000\n000001000000000000000000000000\
000000001000000000000000000000000000000000\n0000000010000000000000000000000000\
00000000000000000000000000000000010000\n00000000000000000000000000000000000000\
0000000000000001000000001000000000\n000000000000000000000000000001000000000000\
000000000000000001000000000000\n0000000000000000001000000000000000000000000001\
00000000000000000000000000\n00000000000000000000000000010000000000000010000000\
0000000000000000000000\n000000000000001001000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000001000000000000000000000000000000000\
00000000000001\n00000000000000000000000000000011000000000000000000000000000000\
0000000000\n000000000000000000000000000000100000000000000000000000000000000100\
000000\n0000000000001000000000010000000000000000000000000000000000000000000000\
00\n000000000000000000000000000000000010000000000000000100000000000000000000\n\
000000000100000000000000001000000000000000000000000000000000000000000000\n0000\
00000000000000000000000000000000000000000000010000010000000000000000\n10000000\
0000100000000000000000000000000000000000000000000000000000000000\n000000000000\
100000000000000000000000001000000000000000000000000000000000\n0000000000000000\
00000000000000000000000000100100000000000000000000000000\n00000000000000000000\
0000000000000000000000000000010100000000000000000000\n000000000000000000000000\
000000000010000000000000000000000000010000000000\n0000000000000000000000010000\
00000000000000000000000000000000010000000000\n00000001000000000010000000000000\
0000000000000000000000000000000000000000\n000000000000000100000000000010000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000001\
00000000000000000000100000000000\n00000000000000000000000000000000000000000000\
0000000000000000000000010010\n010000000000000000000000000000000000000010000000\
000000000000000000000000\n0000000100000000000000000000000000000000100000000000\
00000000000000000000\n00000000000000000100000000000000000000000000000010000000\
0000000000000000\n000000000000000000000000100010000000000000000000000000000000\
000000000000\n0000000000010000000000000100000000000000000000000000000000000000\
00000000\n00000000100000000000000000000000000000000000000100000000000000000000\
0000\n000000000001000010000000000000000000000000000000000000000000000000000000\
\n000000000000000100000000000000010000000000000000000000000000000000000000\n00\
0000000000000000100000000000000000000010000000000000000000000000000000\n000000\
000000000000000000000000000000000001000000000000000000001000000000\n0000000000\
00000000000000001000000000000000100000000000000000000000000000\n00000000000000\
0000000000000000000000000000000100000000100000000000000000\n000000100000000000\
000000100000000000000000000000000000000000000000000000\n0100000000000000010000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000010\
0000000000000000000000000000000000010000000000\n000000000000000000000000000000\
000000000000000000000000000000010100000000\n0000000000010000000000000000000010\
00000000000000000000000000000000000000\n00000000000000010001000000000000000000\
0000000000000000000000000000000000\n000000000010000000000000000000000000000000\
000000000000000000000000100000\n0000000000000000000000000010010000000000000000\
00000000000000000000000000\n10000000000000000001000000000000000000000000000000\
0000000000000000000000\n000000000100000000000000000000000100000000000000000000\
000000000000000000\n0000000000000100000100000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000001000000000000000000010000000000000\
0000000000\n000000000000000000000000000000001000000100000000000000000000000000\
000000\n0000000000000000000000000000000000000000010001000000000000000000000000\
00\n000000010000000000000000000000000000000000000000010000000000000000000000\n\
000000001100000000000000000000000000000000000000000000000000000000000000\n0000\
01000100000000000000000000000000000000000000000000000000000000000000\n00000000\
0001000000000000000000000000000000000000000000000000000000000001\n000000000000\
000000010000000000000000000000000000000000001000000000000000\n0000001000000000\
00000000000000000000000000000000100000000000000000000000\n00000000000000000000\
0000000000010000010000000000000000000000000000000000\n000000000000000000000000\
000000000010000000010000000000000000000000000000\n0000000000000000000000000000\
00000000000000000000000000001000000100000000\n00000000000000000000000000000000\
0000000000000000000000000100000000000010\n000000000000000000000000010000000000\
000000000000000000000000000000100000\n0000000000000000000000000000000000000000\
01000001000000000000000000000000\n00000001000000000100000000000000000000000000\
0000000000000000000000000000\n000000010000000000000000000000000000000000000000\
000000000000000001000000\n0000000000000000000000000000000000000000000000001000\
00000000000000001000\n00000000000000000000000001000000000000000000000000000000\
0001000000000000\n000000000000000000000000000000001001000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000001000000100000000\
00000000\n00000000000000000000000000000010000000000000010000000000000000000000\
0000\n100000000000000000000000000000000000000000000000000000000000000100000000\
\n000000000000000100000000000000000000000000100000000000000000000000000000\n00\
0000000000000000000001000000001000000000000000000000000000000000000000\n000000\
000000000000000000000000000000100000000000000000000010000000000000\n0000000000\
01000000000000000000000000000000000000000000100000000000000000\n00001000000100\
0000000000000000000000000000000000000000000000000000000000\n000001000000000000\
000000000000000000000000010000000000000000000000000000\n0010000000000000000000\
00000000000000100000000000000000000000000000000000\n00000000000000000000000000\
0000000000000000000000000000000010000010000000\n000000001001000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000010001\
00000000000000000000000000000000000000\n00000000000000000001000000000100000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000100001000000000000000000\n0000000000000000000000000000000000000000000000\
00000000000000011000000000\n00000000000000000000000000000000000000010000000000\
0000000000000000000010\n000000000000000010000000000000000000100000000000000000\
000000000000000000\n0000000100000000000000000000000000000000000000000000010000\
00000000000000\n00010000000000100000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000001000010000000000000000000000000000000\
000000\n0000000000000000010000000000000100000000000000000000000000000000000000\
00\n000000000000000000100010000000000000000000000000000000000000000000000000\n\
000000000000000000010000000000000000000000000001000000000000000000000000\n0000\
00000000000000000000000000000000000000000000000000000011000000000000\n00000000\
0000000000010000000000000000000000000010000000000000000000000000\n000000000000\
000000000000100000000000000010000000000000000000000000000000\n0000000000000000\
00000000000000000000001000000000100000000000000000000000\n00000001000000000000\
0000000000000000010000000000000000000000000000000000\n000000000000000100000000\
000000000000000000000000100000000000000000000000\n0000000000000000000010000000\
00100000000000000000000000000000000000000000\n00000000000000000000000000000000\
0010000000000000001000000000000000000000\n000000000000001000000000000000000000\
000100000000000000000000000000000000\n0000000000000001000000000000000000000100\
00000000000000000000000000000000\n00000000000000000000000101000000000000000000\
0000000000000000000000000000\n000000000000000000000000010000000000000000000001\
000000000000000000000000\n0000000000000000000000001000000000000000000000100000\
00000000000000000000\n00000000000000100010000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000100000000000000\
010000000000\n0000000000000000001000000000000000000000000000000000000000000100\
00000000\n00000000000000000000000000000000000010000000000000000000000000000001\
0000\n000000000000000000000000000001000000000000000000000100000000000000000000\
\n000000000000000000000000000000001000000000001000000000000000000000000000\n00\
0000000000000000000000000000000001000000000000000000000000000000000010\n000000\
000000000000010000000000000000000000000000000000000010000000000000\n0000000000\
01000000000000000000000000000000000000000100000000000000000000\n00000000000000\
0000000110000000000000000000000000000000000000000000000000\n000000000001000000\
000000000000000000000000000100000000000000000000000000\n0000000000000000000000\
00000000000000000000000001000000000000100000000000","Z2" : "100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000001000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000010000000\n000000000000000000000000000000\
000000000000000000000000000000100000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000100000000000000000000000000000000\n00000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000000000000000\n000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00001000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000001000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000100000000\n00000000000000100001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010001000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000001000000000000000000000\n00000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000010000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000001000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000\n000100000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000100000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000001000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000010000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000100000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000\n00000000000000000000000000000000000000000000000000000000\
000000000110000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000100\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
010000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000000000000000\n000100000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000010000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000100000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000\n0000000000000000000000000000000000000000000000\
000001000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000100000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00010000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000\n0000000000000000001000000000000000000000000000000000000000\
000000000000000000000010000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000100010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000001000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000001000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000101000000000\n00000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000001000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000010000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000010000000000000000000000\n0000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000100000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000100000000100000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000010000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000001000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000100000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000001000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000100000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000001000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000010000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000100\
0000000000000000000000000000000000\n100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000\n0000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000000000\n00000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000\n000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000010000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010001000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000100000000000000000000000000000000000000000000000000000\n0010000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000\n000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000001000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000001000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000\n0000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000010000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000010000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000001000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000010000000000000000000000000000000000010000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000010000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010010000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000001000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000\n0000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000001000\n000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000100\
000000000000\n0000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000100000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000001000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000010000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000010000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
01000000000000000000000000000000000000000010\n00000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000100010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001\n0000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000010000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000001000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000011000000000\n0000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000000000000001000000000000000000000\n000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000100000\n000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000001000000000000000000000000000000000000000000000\n00\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000100000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000100000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000000000001000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000100000000000000000000\
\n0000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000\n0000\
000100000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000011000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000\n0000010000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
001000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000001000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000001000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000100000000000000000000000000000\n000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000\n00000000000000000000000000000000000000000010000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000001000000000000100000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000101000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000011\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000001000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000\n0000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00\n00000000000000000010000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000100\n000000000000000010000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000100000000000000000\n01\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000010000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000010000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001001000000000000000000000000000000000000000000000000\n00000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000001000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000010000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000001000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000001000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000100000000000000000000000000000000000000000001000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000100000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000001000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000010000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000010000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010\n000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000010000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000000000000000000000000000000000\n\
000000000000000000001000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000001000000000000000000000000000000000000000000000000\
10000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001000000000000000000000000\n000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000010000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000000000000000000000000000000000001000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000100000000000000000000000001000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000010000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000000000000001000000000000","index" : 1440}
{"Z1" : "100000000000000000000000000000000000000000000000000000000000000000000\
001000\n0000000000000000000000000000000000000001000000000000000000000000010000\
00000\n00000000000000000000000000000000000000000000000001000000000000100000000\
0000\n000000000000000000000000000000000000000001000000000000000000000000000100\
000\n0000100000100000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000010100000000000000000000000000000000000\
0\n000000110000000000000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000000000010000001000000\
\n000000000000000000000000001000000000000000000010000000000000000000000000000\
\n000000000000000000000000000000000001000000001000000000000000000000000000000\
\n000000000000000000000000000000000000000000100000000000000000010000000000000\
\n000000000000000000000000000101000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000010010000000000000000\
\n000001000000000000000000000000000000000000000000000000000000100000000000000\
\n000000000000000000000000000000000000000000000000000000000011000000000000000\
\n000000010000000001000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000100000000000000000000000000000000000000000000000000010\
\n000000000000010000000000010000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000001001000000000000000000000000\
\n000000001000000000000010000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000010000000000000000000000000000010000\
\n000000000000000000000000000000000100000000000000000100000000000000000000000\
\n000000000000000000000000000000000100010000000000000000000000000000000000000\
\n000000000000000000000101000000000000000000000000000000000000000000000000000\
\n000000000000000000000001000000001000000000000000000000000000000000000000000\
\n000000100000000000000000000000001000000000000000000000000000000000000000000\
\n000001100000000000000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000010000000000000000010000000000000000\
\n000000000000000000000000010000000000000000000000000000000000000000000000100\
\n000000000000000000000000100000000001000000000000000000000000000000000000000\
\n000000000000000100000000000000000000100000000000000000000000000000000000000\
\n000000000000000000000000000000000000001000000000000100000000000000000000000\
\n000000000000000000000000000000000000000000000000010000001000000000000000000\
\n000000001000000000000000000000000000000000000000001000000000000000000000000\
\n000000000001000000000000000000000000000000000000100000000000000000000000000\
\n000000000000000000000000010001000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000100000000000000010000000000000\
\n000000000000000000000000100000000000000000000000000000000100000000000000000\
\n000000000000000000000000000000000010000100000000000000000000000000000000000\
\n000000000000000000000000000000000000010000000010000000000000000000000000000\
\n000000000000001000000000000000000000000000000000000000000000000010000000000\
\n000000000000000000000000000000000000000000000000000000010000000000100000000\
\n001000000000000000000000000000000000000000000000000000000010000000000000000\
\n000000000001000000000000000000000000000000000000000000000000000000010000000\
\n000000000000100000010000000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000100100000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000100000000100000000000000000\
\n000000000000000000000000000000000000001000000000000000000000000000010000000\
\n000000000000000000000000000000000000000000000000000001000000000000000010000\
\n000000000000000000000000010000000000000000100000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000000000010000000000010\
\n000000000000001000000000000000000000000000000000000000000000000000000000100\
\n000100000000000000000000000000000000000000000000000000000000000000000001000\
\n000000000000000000001000000000000000000000000010000000000000000000000000000\
\n000000000000000000100000000000000000000000000000000000000000000000001000000\
\n000000000000000000000000000000010000000000001000000000000000000000000000000\
\n010000000000000000000010000000000000000000000000000000000000000000000000000\
\n010000000000000000000000000000000000000000000000000010000000000000000000000\
\n010000000000000100000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000000000001100000000000\
\n000000000000000000000000000000000000000000000000000000000000000010010000000\
\n000000000000000000000000100000000000000000000000000000000000000000000000001\
\n010000000000000000000000000000000000100000000000000000000000000000000000000\
\n000000000000000100001000000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000001000000000000000000000000000000000001\
\n000000000000000000000000000000000000000000000110000000000000000000000000000\
\n000000000000000010000000000000000000000000000000000000000000100000000000000\
\n000000000000000000000000000000000000000100000000000100000000000000000000000\
\n000000000000000001000000000000000000000000000000000100000000000000000000000\
\n000000000001000000000000000000000000000000000000001000000000000000000000000\
\n000000000000000000000000000010000000000000000000000000000000000000000001000\
\n000000000000010000000000000000000000000000000000000000000000000000010000000\
\n000010000000000000000000000000000000000000100000000000000000000000000000000\
\n000000000000000001000000000000000100000000000000000000000000000000000000000\
\n000000000000000000100000000000000000000000000000000000000000000000000010000\
\n000000000000010000000000000000000000000000000001000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000000000000000101000000\
\n000000000000000000000000100000010000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000100000000000000000000000000100000000000\
\n000000000000000000000000000000000000000000000001000000000100000000000000000\
\n000000000000000100000000010000000000000000000000000000000000000000000000000\
\n000000000000000000010000010000000000000000000000000000000000000000000000000\
\n000000010000100000000000000000000000000000000000000000000000000000000000000\
\n000000000000000001000000000000000000000000000000000000000000000000010000000\
\n000000000100000000000000000000000000000000010000000000000000000000000000000\
\n000000001000000000000000000000000000000000000000000010000000000000000000000\
\n000000000000000000000000000100000000000000000000000000001000000000000000000\
\n000000100000000010000000000000000000000000000000000000000000000000000000000\
\n000000000100000000000000000000000000000000000000000000000100000000000000000\
\n000000000000000000000000000000000100000000000000000000100000000000000000000\
\n000000000000000000000000000000100000000000000000000000001000000000000000000\
\n000000000100000000000000000000000000000010000000000000000000000000000000000\
\n000000000000000000001000000000000000100000000000000000000000000000000000000\
\n000000000000000000000000000000000010000000001000000000000000000000000000000\
\n000000000000000000000000000000100000000000000000000000000000000000000000010\
\n000000000010000000000000000000000000000000000000000001000000000000000000000\
\n000000010000000000000000000000000000000000000000000000100000000000000000000\
\n000000000000000000000000000000010100000000000000000000000000000000000000000\
\n000000000000000000010001000000000000000000000000000000000000000000000000000\
\n000000000000000000000010000000000000000000000000000000000001000000000000000\
\n000000000000000000000000000000000000000000000000000000100000000100000000000\
\n000000000000000000000001000000000000000000000000000000000000000010000000000\
\n000000000000000000000000000000000000000000000000000000000000000100000000010\
\n000000000000000000000010000000000000000000000000000000000000000000001000000\
\n000000000000000000000000000000000000000000000000000000000000000000100100000\
\n000000000000000000000000000000000100000000000000000000000000001000000000000\
\n000000000010000000100000000000000000000000000000000000000000000000000000000\
\n000000000000000010000000000000000000000000000000010000000000000000000000000\
\n000000000001000000000000000000000000001000000000000000000000000000000000000\
\n000000000010000000000000000000000000000000000000000000000000000000000000001\
\n000000000100000010000000000000000000000000000000000000000000000000000000000\
\n000000101000000000000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000011000000000000000000000000000000000000000000\
\n000010000000000000000000000000000000000000000000100000000000000000000000000\
\n100000000100000000000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000100000000000000000000000000000000000001\
\n000000000000000000000000000000001000000000001000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000100000000000000001000000000\
\n100000000000000000000000000000000000000000000000000000010000000000000000000\
\n000000000000000000000000000000000000000000000000000000001000001000000000000\
\n000000000000000000000000000000000000000010000000000000000000000010000000000\
\n000000000000000000000000000000000000000001000010000000000000000000000000000\
\n000000000000000000000000000000000010000000000000000000000000100000000000000\
\n000000000000000000000000000000100000000100000000000000000000000000000000000\
\n000000000000100000000000000000000000000000000000000000000000010000000000000\
\n000000000000000000000000000000000000000000000001000000000000000000000000100\
\n000000000000000000000000000000000000000000000000001000000000000000000000100\
\n000000000000000000000000000000000000000000000000010000000100000000000000000\
\n000000000000000000000000100000000000000000000000000000001000000000000000000\
\n000000000000000000000000000000000000000001000000000000000000100000000000000\
\n000000000000000000000000000000100010000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000000000000001001000000\
\n000000000000000000000000000000000000000000000000101000000000000000000000000\
\n000000000000000000000000010000000000000000000000000001000000000000000000000\
\n000001000000000000000000000000000000000000000000001000000000000000000000000\
\n000000000000000000000000000000000000000010000000000000000001000000000000000\
\n000000000000000000100000000000000000000010000000000000000000000000000000000\
\n000000000000000000000000010100000000000000000000000000000000000000000000000\
\n000000000000000000000000000000001000000000000000000001000000000000000000000\
\n000000000000000000000000000000010000000000000000000000000000000000000010000\
\n000000000000000000010000000000000000000000000000000000000000000000000001000\
\n000000000000000000000000000000100000000000000000000000000010000000000000000\
\n000000000000000000000000000000000000000000000000000000000001000000000000100\
\n000000000000000000000000000000000001000001000000000000000000000000000000000\
\n000000001000000000000000010000000000000000000000000000000000000000000000000\
\n000000000000000000000100000000000000000000010000000000000000000000000000000\
\n000000000000000000000000000000000000000000010000000000000100000000000000000\
\n000000000000000100000000000000000000000000000000000000000000000000000100000\
\n000000000000000001000000000000000000000000000000000000100000000000000000000\
\n000000000000000000000001000000000000000000000000100000000000000000000000000\
\n000000000000000000001000000000000000000000000000000000000000000000100000000\
\n000000000000010000000000000000000000000000100000000000000000000000000000000\
\n000000000000000000000000001000000001000000000000000000000000000000000000000\
\n000000000000100000000000000000000000000000000000000000000000000000100000000\
\n000000000000000000000000000000010000000000000001000000000000000000000000000\
\n000000000000000000000000000000000000000000000000001000000000100000000000000\
\n000000000000000000000000000000000000000000000000010000000000000001000000000\
\n010000000000000000000000000000000000000000000000000000000000000000001000000\
\n000000000000000000000000100000000000000000000000000010000000000000000000000\
\n000000000000000000000000010000000000000000000000000010000000000000000000000\
\n000000000000000000000000000000000000000100000000000000000000000010000000000\
\n000000000000000000000000000000000010000000000000000001000000000000000000000\
\n000000000000000000000000101000000000000000000000000000000000000000000000000\
\n000000000000000000000000100100000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000000010000010000000000\
\n000000000000000000000000000000000000000010000000000000000000100000000000000\
\n000010000000000000000000000000000000000000000000000000000000000010000000000\
\n000000000000000000000000000000000000000000000000000000000000000101000000000\
\n000000000000000000000000000000000000010000000000000000010000000000000000000\
\n000000000000000000000000000000000000000000000000000000000000000100010000000\
\n000000000000000000000000000000000000000000010100000000000000000000000000000\
\n000000000000000000000000000000000000010000100000000000000000000000000000000\
\n001000000000000000000000000000100000000000000000000000000000000000000000000\
\n001000000000000000000000000000000010000000000000000000000000000000000000000\
\n000000000000000000001000000000000000000000000000000001000000000000000000000\
\n000001000000000000000000000000000000010000000000000000000000000000000000000\
\n000000000000000000000000000000010000000000000000000000000000001000000000000\
\n000000000000000000000000000000000000000000000000000010000000000010000000000\
\n000100000000000000000000000000000000001000000000000000000000000000000000000\
\n000000000000001000000000000000000000000000000000000000000000100000000000000\
\n000000000000000001000000000000000000000000000000000000010000000000000000000\
\n000000000000100000000000000000000000000000000001000000000000000000000000000\
\n000000010000000000000000000000000000000000001000000000000000000000000000000\
\n000000000000000000010000000000000000000000000000000000000000000000000000100\
\n000000000000000000010000000000000000000000000000000100000000000000000000000\
\n000000000001000000000000000000000000000000000100000000000000000000000000000\
\n000001000000000000000000000000001000000000000000000000000000000000000000000\
\n000000000000000000000010000000000000000000000000000000001000000000000000000\
\n010000000000000000000000000000000000000010000000000000000000000000000000000\
\n000000000000001100000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000100000000000000000100\
\n000000000000000000000100000000001000000000000000000000000000000000000000000\
\n000000100000000000000000000000000000000000000000000000010000000000000000000\
\n000000000000000000000000000000000000000000000000000000000000000000010010000\
\n000000000000000000000000000000000000000000000010000000000000000000000001000\
\n000000000000000000000000000000100000000000000000000100000000000000000000000\
\n001000000000000000000000000000000000001000000000000000000000000000000000000\
\n000100000000000000000000000000000000000000000000000000000000000000000100000\
\n000000000000000000000000000000000000000000010000000000000000000000000000010\
\n000000000000000000000000000000000000000000000001000000000000000000000000010\
\n000000000000001000000000000000000000000000000000010000000000000000000000000\
\n000100000000000000000000100000000000000000000000000000000000000000000000000\
\n000000000000000000000001000000000000000000000000000000000100000000000000000\
\n000000000000000000000000000000000100000000000000000000000000000000000000100\
\n000000000000000000000000000000000000000100000000010000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000000000000000000011000\
\n000000000000000000000000000000000000000000000010000000000000001000000000000\
\n000000000000100000000000001000000000000000000000000000000000000000000000000\
\n000000000000000001000000000000000000000000000000000000000000000010000000000\
\n000000000000100000000000000000000000000000000000000000000100000000000000000\
\n000000000000000000000000000010000010000000000000000000000000000000000000000\
\n100000000000000000000000000010000000000000000000000000000000000000000000000\
\n000000000000000000000100000000000000010000000000000000000000000000000000000\
\n001000000000000000000000000000000000000000000000000000000000000000000100000\
\n000000000000010000000000000000000000000000000000000000000000000000000010000\
\n000000000100000000000000000001000000000000000000000000000000000000000000000\
\n000000000000000000000000000100000100000000000000000000000000000000000000000\
\n000000000000000010000000000000000000000000000100000000000000000000000000000\
\n001000000000000000000000000000000000000000000000000000000000100000000000000\
\n000000000000000010000000000001000000000000000000000000000000000000000000000\
\n000000000000000000000000000001000000000000000000000000000000000000000000001\
\n000000010000000010000000000000000000000000000000000000000000000000000000000\
\n010000000000000000000000000000000000000000000000000000000001000000000000000\
\n000000000000000000100000000000000000000000000000000000000000100000000000000\
\n000000000000000000000000000100000000000000000000000000000000000000000000001\
\n100000000000000000000000000000000000010000000000000000000000000000000000000\
\n000000000100010000000000000000000000000000000000000000000000000000000000000\
\n000000000000010000000000000000000000000000000000000000000000000000000000010\
\n000000000000000000000100000000000000000000000010000000000000000000000000000\
\n001000000000000000000000000000000000000000000001000000000000000000000000000\
\n000000000000000000000000000000001010000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000001000000001000000000000000\
\n100000000000000000000000000001000000000000000000000000000000000000000000000\
\n000000000100000000000000000000000000000000000000000000010000000000000000000\
\n000000000000000000000000000100000000000000100000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000000100000000000000001\
\n000000000000000100000000000000000000000000000000000000000000000000000000100\
\n000000000000000000000000000000000001000000000000000010000000000000000000000\
\n000000000000000000010000000000000000000000000000000000000000010000000000000\
\n010000000000000000000000100000000000000000000000000000000000000000000000000\
\n010100000000000000000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000001000000000000000100000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000001000000000000000001000\
\n000000010000000000000000001000000000000000000000000000000000000000000000000\
\n000000000001000000010000000000000000000000000000000000000000000000000000000\
\n000000000000000000000100000000100000000000000000000000000000000000000000000\
\n000000000000000000000000000010000000000001000000000000000000000000000000000\
\n000000000000000100000000000000000000000000000000000000000000000000100000000\
\n000000000000100000000000000000000000000000000000010000000000000000000000000\
\n000000000000000000000000000010000000000100000000000000000000000000000000000\
\n000000000000000000000000000010000000000000000000000000000000000000000100000\
\n000000000000000000100000000000000000000000000000000000000000010000000000000\
\n000000000000010000000000000000000000000000000000000000010000000000000000000\
\n000000000000000000000000000000000000000000001000000000000000000100000000000\
\n000000000000001000000000000000000000000001000000000000000000000000000000000\
\n100000000000000000000000000000000000000000000000000000000000000001000000000\
\n000000000000000000001000000000001000000000000000000000000000000000000000000\
\n000000000010000000001000000000000000000000000000000000000000000000000000000\
\n000000000001000000000001000000000000000000000000000000000000000000000000000\
\n000000000000000000000010000000000000000000000000001000000000000000000000000\
\n000000000000000000000000000010000000000000001000000000000000000000000000000\
\n000000000000000000000000000001000000000000000000000000100000000000000000000\
\n000000000000000000000000000000000000010000000000100000000000000000000000000\
\n000000000000000000000000000001000010000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000100000000000000001000000\
\n000000000000100000000000000000000000000000000000000000000000000000000000100\
\n000000000000000000001000000000000000000000000000000000000000001000000000000\
\n000000001000000000000000000000000000000000000000000000000000000000010000000\
\n000000010000000000000000000000000000000000000000000000000000010000000000000\
\n000000000100000000000000000000000000000000000000010000000000000000000000000\
\n000000000000000000000000000000000000100000000100000000000000000000000000000\
\n000000000001000000000000000000000000000000000010000000000000000000000000000\
\n000000000001000000000000000000000000000000000000000000000000000000000001000\
\n000000000000000000001100000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000000000001000010000000\
\n000000000000000000000100000000000000000000000000000000010000000000000000000\
\n000000000000000010000000000000000000000000000000000000001000000000000000000\
\n010000000000000000000000000000000000000000010000000000000000000000000000000\
\n000000000000000000000000000000001000000000000000000010000000000000000000000\
\n100000000000000000000000000000000000000000000000000000000001000000000000000\
\n000000000010000000000000000000000000000000000000000000000000000000100000000\
\n000000000000001000000000000000000100000000000000000000000000000000000000000\
\n000000000000000000000000000010000001000000000000000000000000000000000000000\
\n000000001000000000000000000000000000000000000000000000001000000000000000000\
\n000000000000000000000000000000000000000010010000000000000000000000000000000\
\n000000000000000100000000000000000000000001000000000000000000000000000000000\
\n000000000000000000000010000000100000000000000000000000000000000000000000000\
\n000000100000000001000000000000000000000000000000000000000000000000000000000\
\n000001000000000000000000000000000000000000000000100000000000000000000000000\
\n000001000000000000000000000000000000000000000000000000000000000000001000000\
\n000000000000000000000000000000000001000000100000000000000000000000000000000\
\n000000000000001000000000000000000000000000000000000000000000001000000000000\
\n001000000010000000000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000001000000000000000000010000000000000000000000000000000\
\n000000001001000000000000000000000000000000000000000000000000000000000000000\
\n000000000000000000000010000000000000000000000000000000000000000100000000000\
\n000000000000010000000000000000000000000000000000000000000000000000000100000\
\n000000000010100000000000000000000000000000000000000000000000000000000000000\
\n000000000010000000000000001000000000000000000000000000000000000000000000000\
\n000000000000000100000000000000000000000000000000000010000000000000000000000\
\n000000001000010000000000000000000000000000000000000000000000000000000000000\
\n000100000000000000000000000000010000000000000000000000000000000000000000000\
\n000000000010000000000000000000000000000000000000000000000010000000000000000\
\n000000010000000000000000000000000000000000000100000000000000000000000000000\
\n000000000000000010000000000000000010000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000001000100000000000000000000000000000\
\n000000000000000000000000000000000000000000001000000000100000000000000000000\
\n000000000000000000000000001000000000000000000000000000000000000000000001000\
\n100000000000000000000000000000000000000000000000000000100000000000000000000\
\n000000000000000000000010000000000000000000000000000000000000000000000000010\
\n000000000000000000000000000000000000000000000001000000000000000000000100000\
\n000000100000000000000000000000000000000000000000000000000000000000100000000\
\n000000000000000001000000000000000000000000000000000000000010000000000000000\
\n000000010000000000000000000000000001000000000000000000000000000000000000000\
\n000001000000000000000000000000000100000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000000001000000000001000\
\n000000000000000000000001000000000000000000000000000010000000000000000000000\
\n000100000000000000000000000000000000000000000000000000000000000000000010000\
\n000000000000000000000000000000000000100000010000000000000000000000000000000\
\n000000000000000000000000000000000000001000000000000000000000000000000100000\
\n000010000000000000000000000000000000000000000000000000000000000100000000000\
\n000000000000000000000010000000000000000000000000000000000000000001000000000\
\n000000000000000000000000000000000000000000000000000000000000001000000010000\
\n000000000000000000000000000000010000000000000000000000000100000000000000000\
\n000010000000000000000000000000000000000000000000000000000000000000010000000\
\n000000000100000000000000000000000000000000000000000000000000000000000010000\
\n100000000000000000000000000000000000000000000000100000000000000000000000000\
\n000000000000000000000000000000000000000000000010000000001000000000000000000\
\n000000000000000000000000000000000000010001000000000000000000000000000000000\
\n000000000000000000000000000000000001000000000000000000000000000010000000000\
\n000000000000000000000000000000000000000000000000000100000000010000000000000\
\n000000000000000000010000000000000000000100000000000000000000000000000000000\
\n000000000000000001000000000000000000001000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000001000000000000000000000000000010\
\n000000100000000000000000000000000000000000000000000000000000000000001000000\
\n000010000000000000000000000000000001000000000000000000000000000000000000000\
\n000000000000001000000000000000000000000010000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000010000000000000000100000000\
\n001000000000000000000000000000000000000000000000001000000000000000000000000\
\n000100000000000000000000000000000000000000000000000000000000000000001000000\
\n000000000000000000000000000000000000000000001001000000000000000000000000000\
\n000000000000001000000000000000000000000100000000000000000000000000000000000\
\n000000000000000000000000000000000000000000010000000000000000010000000000000\
\n000000000000000000000000000000000000100000000000000000100000000000000000000\
\n000010000000000000100000000000000000000000000000000000000000000000000000000\
\n000000000000000000100000000000000000000000000000000001000000000000000000000\
\n000010000000000000000000000000000000000000000000000000000000000000000000001\
\n000100000000000000000000000010000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000100000000000000000000000000000010\
\n000000000000000000000000001000000000000000000000000000000010000000000000000\
\n000000000000000000000000000000000000000000000000000000000000000001100000000\
\n000000000000000000001000000000000000000000000000000000000000000100000000000\
\n000000000000000000000000000000000000001000000100000000000000000000000000000\
\n000000000000000000010000000000000000000000000000000001000000000000000000000\
\n000000000000000000000000000000000000000000000100000000000000100000000000000\
\n000000000000000000000000000100000000010000000000000000000000000000000000000\
\n000000000000000000000000000001000000100000000000000000000000000000000000000\
\n000100000000000000000000000000000000000000000000000100000000000000000000000\
\n000000000000000000000100000000000000000000000000000000000010000000000000000\
\n000001000000000000000000000000010000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000100001000000000000000\
\n000000000000000000000000001000000000000000000000000000001000000000000000000\
\n001000000000000000000000000000000000000000000000000000000000000000000000001\
\n000000000000000000000000000010000000000000000000000000000000000001000000000\
\n000000000000000000000000000100000000000000000000000100000000000000000000000\
\n000000000000000000000000001000000000000000000000000000000001000000000000000\
\n000000100000000000000000000000000000000000000000000010000000000000000000000\
\n000010000000000000000000000000000000000000000000000000000000000001000000000\
\n000000001000000010000000000000000000000000000000000000000000000000000000000\
\n000000000000000000100000000000000000000000100000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000000000010000000000000100000\
\n000000000000000000000000000001000000000000000000000001000000000000000000000\
\n000001000000000000100000000000000000000000000000000000000000000000000000000\
\n000000000000000000000000000000000000000000000000100000000000000000000000001\
\n000000000000000000000000000000000000000001100000000000000000000000000000000"\
,"Z2" : "100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000100000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000100000000000000000000000000\
000000000000000000000001000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000\n0000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000001000\n000000000000000000000000000000\
000000000000000001000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
100010000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000010000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000001000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000100000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000\n000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000000000000000000000000100000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000\n0000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001000000\n00000000000000000000000000001000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100010000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000001000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000110000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000\n0001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000010000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000001\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000\n000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000001000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000100\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000100\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000001000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100010000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000000000000000010000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000001000000000000000000000000\n0000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000011000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000100000000\
0000000\n010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000001000000000000000000000000000000000000000\n00000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000001000000000000000000000000000000000\
000000000000000000100000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000000000\n00000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000\n0000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n10000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000100\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000001100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000001000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000001000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000100010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000010\n0000000000000000000000000000000000000100000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000010000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000010000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000010001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000\n000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000\n0000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000010000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000001000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000110000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000\n0000\
000000000000000000000000000000100000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000100000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000\n0000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000\n00010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000100000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000100000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000\n000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000000000000000000\n00000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000\n0000\
000000000000000000000000100000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000\n0000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000010000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000010000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000000\n000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
001000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000100000000000000000000000000000000000000000000001\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000010000000000000000000\n000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000001\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100010000000000000\
00000000000000000000000000000000010000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000110000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000100000000000000\
00000000000000000000\n00000000000000000001000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000010000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000\n000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100\n0000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000\n0000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000010000000000000000000\n00000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000\n000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000\n001000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000110000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000100000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000\n0000\
000000000000000000011000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000000000000000010000\n000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010\n0000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000010000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000100000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000100000000000000000000000000010001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000000000000000000000\n000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000\n000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000010000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000010000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000001000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000001000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000\n0000\
000000010000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000001000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000100000000000000000\
000000000000000000000000000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
01000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000\n000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000000000010000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000\n0000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001000001000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000100000000000000000000000000\n000000000000000000000000000000\
100000000000000000000000000000000100000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000100000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
011000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000101000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000","index" : 1500}
{"Z1" : "100000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
00000000000010000000000010000000000000000000000000000000000000000000000\n00000\
000000100000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000\n001000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000\n0000000000000100000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000100000000000000000\n000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000010000\n0\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000001000000\n00000000000100000000000000000000000000100000000\
0000000000000000000000000000000000000000000000000000000000000\n000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000001\
000000000000000\n0000000000000100000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000000\n00000000000000000000000000000\
000000000000001000000000000000000000000000000001000000000000000000000000000000\
0\n000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000010000\n0000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000100000000000000000\n00000000000\
000010000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000\n000000000000000000000100000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000\n0000000000000001000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000\n00000010000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000\n000000000000010000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000\n0000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000010000\n00000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000000000100\n000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000100000000000\
000000000\n0000000000000000000000000000100000000000000000000000000000000100000\
00000000000000000000000000000000000000000\n00000001000000000000000000000000000\
0000100000000000000000000000000000000000000000000000000000000000000000000\n000\
000000000000000000000001000000000000000000000000000000000000000001000000000000\
000000000000000000000000000\n1000000000000000000000000000001000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n10000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000\n000000000000000000000000000000000000000000000000100000000000000\
000000000000000001000000000000000000000000000\n0000000000000000000000000000000\
00000000001000000010000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000010000000000000000\
00100000000000000000000000000000\n00000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000100000000000000000010\n010000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000\n0000000000110000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000001000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000001000000000000000000000000000000000000000000010\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000100000100000000000000000\n10000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000\n000000000000010000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000001000010000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000100000000\
1000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000100000000000000000000\n0010\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n10000000000000010000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000100001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000001000000000000000\n00001000000001000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000001000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000\n0000000000000000000000000000000000000000000100\
00000000000000000000000000000000000000000000000000000000010000\n00000000000000\
000000000000000000001000000000000000000000000000000000000000100000000000000000\
0000000000000000\n000000000000000000000000000010000000000000000000000000000000\
000000000000100000000000000000000000000000000000\n0000000000000000000000001000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000010000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000\n000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000001000\n0000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00100000000000000000\n10000000000000000000000000000000000000000001000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000010\n0000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000001000000000000000\n00000000000000000000000000000000000000\
0000000010000000000000000000000000000000000000000000000000000000000010\n010000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000\n0000000000100000000000000000000000000000000000000000\
00000000001000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000100100000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000010000100000000000000000000000000000000\n0000001000000000000000000000000000\
00000000000000000000000000000000000000000000001000000000000000000000000000\n00\
000000000000000000000000000000000000000100000000000010000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000010000000000000\n0000000000000000\
010000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000001000000000000000000000000000100000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
010000000000000000000000000000000000010000000000000000000000000000000000000000\
\n0000000000000000000000000000000010000000000000000100000000000000000000000000\
00000000000000000000000000000000\n00000000000100000000000000000000000000000000\
0000000000000000100000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000010000\n0000000000000000000000000000100000000000010000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000\n000000000000000000000010000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000100000000\
00000000000000000000000000100000000000000000000000000000000000000000\n00000010\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000\n000000000000000000000001000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000\n0010000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000\n00000000000000010000000000000000000000000000000100000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000100000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000\n0000\
000000000001000000000000000000000000000000100000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000001000000000000000000\n000000000000000000\
000000000000000000100100000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000010000000000000000000\
00001000000000000000000000000000000000000000\n00000000100000000000000000000010\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000010\n0100000000000000000000000000000000100000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000001000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000001000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000100000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000000100\n000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000\n0001000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000100000000000000\
0001000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001100000000000\
000000\n0000000000000000000000010000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
0000001000000000000000000000000001000000000000000000000000000000000000\n000000\
001000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000001000000000000000\n00000000000000000000\
000000000001000000000000000000010000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000010000000010000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
00000000000000000000000000000001000000000000000000000000000100000000000000\n00\
000000000000000000000000000000000000000001000000000000000000000000010000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000010000000000000000000000100000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000001000000000000000000000000000100000000000\
00000000000000\n00000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000100000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000100000000000\
\n0000000000000000000000000000000000000000000001000000000000000000000000000000\
00010000000000000000000000000000\n00000000000000000000000010000000000000000000\
0000000000000000000000000000000000000000000010000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000001000000\n0000000000000000000000000000000000000000000000000000000000\
00010000010000000000000000000000000000000000000000\n00100000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000\n000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000\n0000000000000000000000000000000000000010\
00000000000000000000010000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000100000000000000000000000000000000100000000000000\
0000000000000000000000\n000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000001000000\n0000000000000000000000\
000000000000001000000000000000000000000000000000001000000000000000000000000000\
00000000\n00000000000000000001000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000100000000\
000000000000001000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000100001000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000001\
0000000001000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010100\n0000000000000000000000000000000000000000010000000000000000000000\
00000000000000100000000000000000000000000000\n00000000000000000000000000000000\
0000000000000000000000000000000000000000000100000000000000000000001000000000\n\
000000000000000000000000000000000001000000000000000100000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000000001000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000010\n000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000100000000\n0000000000000000000000010000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000011000000000000000\
0000000000000000000000000000000000\n000010000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000\n1100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
1000000000000000000000000000000000001000000000000000\n000000000000000000000000\
000000000000000000000000000001000000000001000000000000000000000000000000000000\
000000\n0000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000\n00000000000000000000010000000000000000\
0000000000000010000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000100000\n0000000000000000000000000000000000000000000000000000\
00010000000000000000000000000010000000000000000000000000\n00000000000000000000\
000000000100000000000000000000000000000000000000000010000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000010000000000000000\n0000000000000000000000000000000000\
00000000000000000000000000000000000000000000010100000000000000000000000000\n00\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000010000000000000000000000\n000000000000000000000000100000000000000000000000\
000000000000000000000000000000000100000000000000000000000000\n0000000000000000\
010000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
1010000000000000000000000000000000000000000000\n000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
\n0000000000000000000000000000010000000000000000000000000000000000000000000010\
00000000000000000000000000000000\n10000000000000000000000000000100000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000010000\
000000000000000000\n0000000000000000000000000000000000000000010000000000000000\
00000000000000000000000010000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000010000000000\
0000\n000000000000000000000000000000000000000000000000000000000000010000000010\
000000000000000000000000000000000000\n0010000000000000000000000000000000000000\
00000000000000000000000000000010000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000100000000000000000\n000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000001000000\n0000000000000000000000\
000000100000000000000000000000010000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000000000001000000000\n010000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000100000000000000010000000000000000000000000000\
00000000000000000000000000\n00000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001000000000\n010000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000010001000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
1000000000000000000000000000000000000000000000000000000010000000000000000000\n\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000100000000000\n0000000000000100000000000000000000000000000000\
00000000000000000000100000000000000000000000000000000000000000\n00000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000\n000000000000000000000000000000000000000000000000000000100000\
000000000001000000000000000000000000000000000000\n0000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000100000000000\
00\n00000010000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000001000000010000000000000000000000000\n0000000000\
000000000000000000010000000000000000000000000000000001000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000000100\n000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000\n0000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000000001000000\n00000000000000000000000000000000100000\
0000000000000000000000000000000000000000010000000000000000000000000000\n000000\
000000000000000000000000000000000000001000000000000000100000000000000000000000\
000000000000000000000000\n0000000000000000000000001000000000000000010000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000100\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000001000\
010000000000000000000000000000000000000000\n0010100000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000010100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000100000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000010000000000000000000000000010000000000000000000\
00000000000000\n00001000000000000000000000001000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000100000000\
\n0000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000010000000000000000\n00000000000000000000000000000010000000000000\
0000000000000000000000000000000000000000000000000000000000000010\n000000000000\
000000000000001000000000000000000000100000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000100\
01000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0010\n010000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000\n0000100000100000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000100000000000000000000000000001000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000001000000000000000000\n0010000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000100000000001000000000000\
0000000000000000000000000000000000000000\n000000001000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000\n0000\
000001000000000000000000000000000000000000000001000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000001000000000000000\
0010000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000100\
000000000000\n0000000000000000000000000000000010000000000000000000000000000000\
00000100000000000000000000000000000000000000\n00000000000000000000000000000000\
0000000000000000000000000000000000000000010100000000000000000000000000000000\n\
000000000000000000000000000000000000000100000000000000000000001000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
00000000100000000000000000000000000000001000000000000000000000\n00000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000\n000000000000000000000000000010000000000000000100000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000010000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00\n00000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000000000000000\n000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000\n0000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001000000\n00000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000010000000000000000000\n000000000000000000000000\
000000000000000000000100000000000000000000000000000000000001000000000000000000\
000000\n0000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000\n00000000000000000000000100000000000000\
0000000000000000000000000000000000000000001000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000010000000\n0000000000000000000000000000000000000000000000000000\
00000000010000000100000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0001000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000010000\n0000000000000000000000000000000000\
00000000000000001000000100000000000000000000000000000000000000000000000000\n00\
000000000000000000000010000000000000000000000000000000000000000001000000000000\
0000000000000000000000000000\n001000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00001000000000\n00000000000000000100000000000000000100000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000010\
\n0000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000\n00000000000000000000000000000000000000000001\
0000000000000000100000000000000000000000000000000000000000000000\n000000000000\
000010000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000\n0000101000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n01000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000\n000000000000000000000000000000000001000000000000000000001000000000000000\
000000000000000000000000000000000000\n0000000000000000000001100000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000\n000000000000000000000000000000000000000000000000000000\
000000000000000000100000000100000000000000000000000000\n0000000000000000000000\
000000000000000001000000000000000000000000000000000000000001000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000100000010000000000000000000000\n000000000000000000000000000000000010\
000000000000000000000000000010000000000000000000000000000000000000000000\n0000\
000000000000000000000001000000000000000000010000000000000000000000000000000000\
00000000000000000000000000\n00000000000000001000000000000000000000000000000000\
1000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000010000000000000000000000000100000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000010000000000000010000\
00000000000000000000000000000000000000000000\n00010000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000010000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000100\n0001000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000010000000000\n000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000001000000000000000000\n0000000000000010000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000010000000000000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000110000000000000\n0000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000\n00000000000000000000000000000010001000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000\n0000000000000100000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
0000000000000000000000000000000000000010000000000000000000000000010000\n000000\
000000000000000000000000000000000000000000000000000000100000000000000010000000\
000000000000000000000000\n0000010000000000000000000000000000000000000000000000\
00000010000000000000000000000000000000000000000000000000\n00000000000000000000\
010000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000100000000000000000\
000010000000000000000000000000000000000000\n0000000000100100000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000001000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000100\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000010000\
00000000000000\n00000000000000000000000000000000000000000000000000000101000000\
0000000000000000000000000000000000000000000000\n000000000000000000001000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000100000000000000000000000000000001000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
0000000000000000000000000000010000000000000000000000000000001000\n000000100000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000010001000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000001000000000\
0000\n000000010000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000\n0000000000001000000000000010000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000010000000010000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000100\n0000000000000000010000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000\n00000000000000000000001000000000000000000000000000000000100000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000010000\
000000000000000000000000000000000000000001000000000000000000000000000000\n0000\
000001000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
1000000000100000000000000000000000000000000000000000000000\n000000000000000000\
000000000010000000000000000000000000000000000001000000000000000000000000000000\
000000000000\n0000000000000000010000000000000000000000000000000000000000000000\
00000000000001000000000000000000000000000000\n00000001100000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000010000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000000010000000000000000000\n00000000000000\
000000100000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000\n000000000000000000010000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000001000010000000000000000000000000\
00\n00000100000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000100000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000100000000000\n00000000000000000000000000000000000000000000010000000010\
0000000000000000000000000000000000000000000000000000\n000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000\n0000000000000000000000000000000000000000000000100000000000000000000000\
00000000000001000000000000000000000000\n00000100000000000000000000000000000000\
0000000000000000000000000000000001000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000001\n0000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000100000000\n00000000000000100000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000\n000010000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000\n0000000000000000000000001000000000\
00000000000000000000000000000000000000000000000010000000000000000000000000\n01\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000001000000000000000000\n0000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000001000\n00000000000000100000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
\n0000000000000000000000000000000000000100000000000000000100000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000010000000000\
0000000000000000000000000000100000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000100000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000000000010000000\n00000000000000000000100000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000001000000000000000000\n0000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000000100000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000010000000000\n100000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0001000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000\n00000000000000000000000001000000000000000000000000000000000000000000\
1000000000000000000000000000000000000000\n000100000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000001000000000000\n00000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000010000000000\n000000000000000000\
000000000000000100000000000000000000000000000000010000000000000000000000000000\
000000000000\n1000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000001000000000000\
0000000000000000000000000000000000000000000000100000000000000000000000000000\n\
000001000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000\n0000000000001000000000000000000000000000000000\
00000000000100000000000000000000000000000000000000000000000000\n00000000000000\
000000000000010000000000000000000000000010000000000000000000000000000000000000\
0000000000000000\n000000000100000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000010000000000001000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000001010000000000000000000000000\
0000000000000000000000000000000000\n000000000000010000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000001\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000000010000000\n000000000000000010000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
00100000010000000000000000000000000000\n00000000000000000000000010000000000000\
0000000000000000000000000000000000000000100000000000000000000000000000\n000000\
000000000100001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000000000000000000000001000\n00000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0010000000\n000000000000000000000000000000000000000000000000000000010000000000\
000000010000000000000000000000000000000000\n0000000000000000000000000000000001\
00000000000000000000000000001000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000100000000000000000000000\n000010000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010\n00000000000000000000000000000000000001000000100000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000001000000000\
\n0000000000000000100000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000\n00010000000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000100000\
000000000000000000\n0000000000000000000000000000000000000010000000000000010000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000\n000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000010000000000000000000000\n0000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000001100000000000\n00000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
1000000000000000000000\n000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000001\n0000000000000000000000\
000100000000000000000010000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000010000000000000\n000001000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000\n00000000000000000000000000000000000000100000000000\
0000000000000000010000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000100000000000000001000000000000000000000000000000\
000000000000\n0000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000100000000\n00000000000000000000000000010000\
0000000000000000000000000000000000000000001000000000000000000000000000000000\n\
000000000000000000100000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000001000000000\
00000000000000000000000000000000001000000000000000000000000000\n00000000000000\
000010000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000\n000000010000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000010\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00\n00000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000000100000000000000000000\n000000000000100000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000\n0000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000100000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000100000000000\n000000000000000000000000\
000000000000000000000000000000000100000000000000000000001000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000010000000\n00000000000000100000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000100000\n000000\
000000000000000000000000000000000000000000000000000000000100000000000000000010\
000000000000000000000000\n0000000001000000000000000000000000000000000000000000\
00000000000000000001000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000001000\
0000000000\n000000000000000000000000000000100000000000000000100000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
01000000000000000000000000000000000000000010000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000010000000001000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000110\n0000000000100000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000\n00000000000000001000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000\n000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000001000000\
\n0000000000000000000000000000000000000001000000000000000000000000000000000000\
00000001000000000000000000000000\n00000000000000000000100000000000000000000000\
0000000000000000000000000000000000010000000000000000000000000000\n000000000000\
000000010000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000100000000\n00001000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000010000000000000\
000000000001000000000000000000000000\n0000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000000000000010000000000000\n00000000\
000000000000000100000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000001000000000000000\n0000001000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00001000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n001000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000001000000000000000\n00000000000000000000000000000100000000000000001000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000010000000\n0000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000000000000100\n00000100000000000001000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000011000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000100000000000\
00000000000000000000000000000000000000100000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000100000\
0000000000000000\n000000000000000000000000000000000000000000100010000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000100100000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000001010000000\
0000000000000000000000000000000000\n000000000000000000100000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000\n0000000000\
000001000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000100000000000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000000\n000000000000000000000000\
000000100000000000000000000000000000000000000000010000000000000000000000000000\
000000\n0000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000010000000000000000000000\n00000000000000000000000100000000000000\
0000000000000000000100000000000000000000000000000000000000000000000000\n001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000\n0000000000000000000000000000000000000000000000000000\
01000000010000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000100000\n000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000\n0000000000000000001000000000000000\
00100000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000001000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000010000000000\n0000000000000010\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000001000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000100000001000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000001100000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
0000000000000000000000000010000000001000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000010000100000000000\
000000000000000000\n0000000000000000000000100000000000000000000000000000000000\
00000000000000000000000000100000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000100000\
0000\n010000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000000000001000000000\n00000000\
000000000000000000000000000000000000000000000000100000000000000000000000000100\
0000000000000000000000\n000000000000000000000000000000000000000000000000000010\
000000001000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000001\
00000000\n00000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000001000\n000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000010000000000\n0000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000100000\n00000000000000000000000000000000000000001000000000\
0000010000000000000000000000000000000000000000000000000000\n000000000000000000\
001000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000001\n00000000000000000000000000001100\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000010000000000000000000010000000\
000000000000000000000000000000\n0000000000001000000000000000000000000000000000\
00000000000000000000000001000000000000000000000000000000000000\n00000000000000\
000000000000010000000000000000100000000000000000000000000000000000000000000000\
0000000000000000\n000000000000100010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0001000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0100000000000000000100000000000000\n000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000100000000000\n0000000000\
000000000000000000000000000000000000100000000000000000000000000000000100000000\
00000000000000000000\n00000000000000000000000000000000010010000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000\n0000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000\n00000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001000000000010000000000\n000100\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000001000\n00000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000100000\n000000000000000000000000000000000000000000000000000000000001000000\
000000010000000000000000000000000000000000\n0000000000000000000000000000000000\
00000000000000000000000000000010000000000000000000000000000000000000010000\n00\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000001000000000000000000\n000000000000000100000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000100000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
0100000000000000000000000000010000000000000000\n000000000000000000000010001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000100000000000000000000000100000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000010100000000000000\n000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000100000000000\n0000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000001000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000101000000000000000\
0000\n000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000001000000000\n0000010000000000000000000000000000000000\
00000000000000000100000000000000000000000000000000000000000000000000\n00000000\
000000000000000010000000000000000000000000000000000000100000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000010000000000000000\n0000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000001\
00000000\n00000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000001000\n0000\
000000000000000000000000000000000000000000000000000000000000010000001000000000\
00000000000000000000000000\n00000000000000100000100000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000100\n0000000000000010000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000\n00000000000000000000000001010000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000001000000000001000000000000000000\
000000000000000000000000000000\n0000000000000000000000010000000000000000000000\
00000000000000000000000000000000000000000000000000000000010000\n00000000010000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000\n0000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000010000000000\
00\n00000000000000000000000000000000000000001000000000000000000000000000000000\
0000000010000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000001\n0000000000\
000000000000000000000000000000000000000100000000000000000000000000000001000000\
00000000000000000000\n00000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000010000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010100\
000000\n0000000000000000001000000000000000000000000000000000000000000000000000\
00000000000000000000000010000000000000\n00010000000000000000000000000000000000\
0000000000000000000100000000000000000000000000000000000000000000000000\n000000\
000000101000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000001\
00000000000000000000000001000000000000000000000000000000\n00000100000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000\n000000100010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000100000000000\
00000000000000000000000000000000000000000000000000000001000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000100000000\n000000000000000000000000100000000000000010000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000100000000000000000000000000000001000000000\
00000000000000\n00000000000000000000100000000000000000000000000100000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000100\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
\n0000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000\n00000000000000000000000000000000000100000000\
0000000000000000000000000000000000010000000000000000000000000000\n000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000\n0001000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
1000\n000000001000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000\n0000000000000000000000000000000000000100\
00000000000000000000000000000000000000000000010000000000000000000000\n00000001\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000\n000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000\n0000000000000000000000\
000000010000000000000000000000000000000000000000000000000000100000000000000000\
00000000\n00000000000000000000000000000000000000000000000100000000100000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000010000000000000000000000000000001000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000001000000000000\n00000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000010000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000001\n0000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000001000\n00000000000000000010000000000000\
0000000000000000000000000010000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000010000000000000000000000000000000010000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000000000000000000000000001\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0011000000000000\n000000000000000000000000000000000000100000000000000000000000\
000000000000000000000100000000000000000000000000\n0000000010000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000010001000000000000000000000000\n000000000000000000000000010000000000000000\
100000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000010\
00000000000000000000\n00000000000000000000000000000000001000000000000000000000\
0000000000000000000000000010000000000000000000000000\n000000000000100000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000001000\
00000001000000000000000000000000000000\n00000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000001000000000000000000000\n000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000\n0000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000000000000001\n00000000000000000000\
000000000000000001000000000000000000000000000000000000000100000000000000000000\
0000000000\n000000000000100000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000100000000\
00000010000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000001\n000000010000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
001000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000000000000000000000000001\n000000000000000000000000000000\
000000000000100000000000000000000000000000000001000000000000000000000000000000\
\n0000000000000000000000000000000000000000101000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000001000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000100000000000000\n0000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000000010000000","Z2" : "100000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000100000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000\n000000000000000000000000000000000000000000\
000000000000010100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000001000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000001\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000100000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000001000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000101000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000100000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000100\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
010000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000100000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000010000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000001000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000001000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000110000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000100000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000100000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100100000000000000\
00000000000000000000000000001000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000010000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000010000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000001000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000100000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000001000000000000000000000000000000000\
0000000000000000000000000000000000001000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000100000000000000000000000\n0000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000000000000000\n010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000100000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000010000\n000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001000000\n00100001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n1000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000000000000000000000000000\n00\
100000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000010000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000\n00000000000000001000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000010000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000010000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
100000000000000000000001000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000010000000000\n000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000100000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000100000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000\n00000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000010000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000100000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000000000000000\n000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000001000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000100000000000000000000\
00000000010000000000000000000000000000\n00000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000010000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001000000000000000000000000000\n\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000100000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000001000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n010000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001\n00000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000001000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000010000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000001000000000000000000\
00000000000000000000000000000000000000\n00000000000000100000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0000000000100000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000010000000000\
00000000000000000000000000000000000001000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000000000\n00000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000\n00000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000100000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000010000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
001000000000000000000010000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000100000000000000000000000\n00010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000\n00000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000001000000\
100000\n0000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000010000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000010000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100001000\n00000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000100000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001000100000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000001000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001001000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000100000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000100000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00001000001000\n00000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000\n000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000001000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000010000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000100\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000\n00000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000010000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000001000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000010000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000100000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000100000000000000000000000000000000000000000000000\
000000000000000100000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000100000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000\n000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000010000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000010000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000100\n0000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
011000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010\n00000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000001000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000000000000000000000000000\n000010\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000\n0000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000","index" : 2160}
{"Z1" : "100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000\n0000000000000\
001000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000\n00000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000001000000\
0000000000000000000\n000000000000010000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000\n0\
000000011000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000\n00000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000010000000000000000000\n000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000\n0000000000000010000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000\n00000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000001000000000000000000000000000000\n000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000\n0000000000000000000000000000000000000000000000000000000\
00000000100000000000000000010000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000010010000\n00000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000010\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000001\
000000000000\n0000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000001000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000000100000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000010000000000000000\n0000000000000000000000010000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000001000000000000000000000000000\n000000000000000000\
000000000000000000000010000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000010000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000000000000000001000000000000000000000000000\n000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000\n0000000000000000000000000001\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000001000000000\n0001000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000000\n00000000000000000010000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000\n0000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000\n001000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000100000000000000000000000000000000000000000000\n10000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000001000000000000\
000000000000000000\n0000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000010000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
0000000000000000001000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000100000001000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000\n00000000000000000000000000000000000000000000000001000000000000000100\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000010000000010000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000100000000000000000\
00000000000000000000\n00000000000000100000000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000010000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000100000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000100000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000\n0000010000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000010\
0000000000000000000000\n000000000000000000000000000000000000000100000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000001000000000000000000000000000000000001000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000010000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000\n0000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000000000000010000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000000000010000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000001000000000000\
000000000000000000000000\n0000000000000000000000100000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000000000000000000100000000000000\n000000000000000000\
000000000000000000000001000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000100000000000000000000\
00000000000000\n00000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000010000000\n000000\
000000000000000000000000000000000000100000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000\n0000100000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000001\n0000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000000000000000000000000000\n00000000000000010000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000010000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000001000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000001000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000010000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000000000000000000000000000000001000000000000\n10000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000001000000\n0000000000000000000000000000000000000000000000000000100000\
00000000100000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0000001000000000000000000000000000000000000000000000\n000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000\n00000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000000000000000000000000000010000000000000000\n000000000000\
000000000001000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000110000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000100000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000001000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000100000000000\n0000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000001000000000000000000000000\n00000000000000000000000000000010\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
\n0000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000000\n00100000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000001000\n0000000000000000000000000000000000000000000000000000000000000000\
00010100000000000000000000000000000000000000000000000000000000000000\n00000000\
000100000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000010000000000000000010000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000100000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000000001000000\n000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000001000000000000000000\n0000000000000000000000000001000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000100000000000\
0000000000000000000000000000000000000000000000000000000000000000010000\n000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000001000000000000\n0000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000001000000000000000000000000\
0000\n000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000\n0000001000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000100000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000\n0000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000\n00000000000000000000000000\
000000000000000000000000000000001000000000000000000001000000000000000000000000\
0000000000000000000000000000\n000001000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000001000000000000000000001000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000\n000000000000010001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000000000000000001000000000\n00\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000001000000000000000000000000000000\n000000000000000000000000\
000000000000001000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000110000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000001000000000000\
0000000000000000000000000000000000000000000001000000000000000000\n000000000000\
000000000000000000000000000001000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000001\
00000000000000000000\n00001000000000000000000000000000000000000000000000000010\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000001001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000001000000000000000\n00000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000000000\n000000000000000000000000000000000000000000000100000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000001000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000010000000000\
0000000000000000000000\n100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000000000000000000000000000000100000000000000\n00000000000000000010\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000010\n0000000000000000000000000001000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0010000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000\n0001100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000100000000000010000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000010\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000100000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
0000000000100000000000000000000000000000000000000000000000001000000000\n000000\
000000000000000000000000000000010000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000000000100000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000100000100000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000010000000000000000000000000000000000\n0000000000000000\
000000000000000100000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000010000000\n000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000\n0000\
000000000011000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000010000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000001000000000000000000000000\
000000\n0000000000000000000000000000000000010000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000100000000000000000100000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000100000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000011000000000000000000000000000\n00\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000000000\n000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000\n0000000000000000100000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0100000001000000000000000000000000000000000000000000000000000000\n000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000\n0000000000000000000010000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000000000000000000000100000000000000000\n\
000000000010000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000\n0000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000\n00000001000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000010000000000000000\
000000000010000000000000000000000000000000000000000000000000000000\n0000000000\
000000001001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000\n000000000000000000000000000000000011000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000000010000000000000000000\n00000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000100000000\n000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000\n0000000000000000000000000000010000001000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000100000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000010000000000\n0000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000010010000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000100000000000000000000001000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000\n00000000000000000000000000000000000000000001000000000000000000\
0000000000000000000000000000000000000000000000000000010000000000000000\n000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000001100000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000110000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000100000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000100000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000010000000000000000000000000001000000000000000000000000000000000000000000000\
0000000000000000\n000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00001000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000010000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000001\
10000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000000001000000000000\n000000000000000000000000001000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000010000000010000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010001000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000010000000000000\n0000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
1000000100000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000010000000000\n0000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000\n00000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000010000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000010000000000000000000000000000\n0000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000000000\n00000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000\n000000000000000000000000000000000000000000000000000000000000001001\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000010000000100000000000000\
00000000000000000000000000000000000000000000\n10000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
001000000000000000000000000010000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000100000000000000000000000010000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000001000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000\n000000000010000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000001001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0001000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000001\n0000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00\n00000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000001000000000000000000\n000000000000000000\
000000000000000010000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000010000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000100000000000000000000\n100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000101000000000\n00010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000001000000000000000000000000000\n0000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000010000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000100\
0000000000000000\n000000000000000001000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000100000000000000000000000000000\n00000001000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000100000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000100000000000000001000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000100001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000\n0000000000000000000000000000000000000000000000001000000000\
00000000000000000000000000000001000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000000\n000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000\n0000000000000010000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000000010000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000010000000000000000000000000000\n0000000000010000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000010000000000000000\n\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000\n0000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000100000000000000\n00000000000000000000000000000000000000000000\
000000000000000010000010000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000100000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000010000000000000000000000\n00000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000\n000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000100000000000000000000000000000000000001000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000001000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000010\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000000000000000000000000100000000000000000000000\n00000000\
000000000000000000000000001000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000001000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000001000100\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000100000000000000000000000000100000000000000\
000000000000000000000000000000000000\n0000001000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000\n01000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000\n0000000000000000000000000100\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000001000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000\n0000000000000010\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000100000000\
0000000000000000\n000000000010000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000001000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
001000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000010000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000100\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000100\
0000000000000000000000000000000000000000\n000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000\n0000000000000000000000000000000000000001000000000000000000\
00010000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000010000000000000000000000010000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000001\n0000000000000000101000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000010000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000100000000000000000000000000000000\n000000000000\
000000000000000000000000000000000010000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000\n00000000000000000000000000000000100000000000000000000000\
0000000000000000000000000000100000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000100000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
10000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000100000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000001000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000100000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000010000000\
0000000000000000000000\n010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
\n0000000000000000000000000100000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000100000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000001100000\n00000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000001000000000000010000000000000000000000000000000000000000\
000000000000000000000000\n0000010000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000001000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000010000000\n0000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000\n00000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000100000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000001000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000001000000000000000000\n00000000000000000000000000010000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000001000000000000000000000000\n0001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010001000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000\n0010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000010000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000001000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010000000000000000000000010000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
0000000000000000000000000100000000000000\n000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000\n0000001000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000000000000000000000000000000000000000000000\n00\
000000100000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000\n0000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000\n00000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000001000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001100\
000000000000000000000000000000000000000000\n0000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000\n00000000000000000000000000000000000000000000000000000000\
0000000010000000000001000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000010000000000\n0000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000100000000000000\n00001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000\n000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000\n0000000000\
000000000000000001000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000000000000000\n00000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000\n000000000000000000000000000000000000000000000000000000\
000000001000000000000000000010000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000000010000000\n00000000000000000000\
000000000000000000000000000000010000000000010000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000010000\n0000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000000000000000100000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000000000100000000000\n000000000000100000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000100010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000010000000000000000000000000000000000000000000000\n000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000\n0000000000000000000000000010000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000000000000100000000000000000000\n000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000100\n0000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000010000000000000\
0000\n000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000010\n0000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000\n00000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000\n000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000\n0000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000100000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0100000000000000000000000000\n000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000001000000000000000000\
000000\n0000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000000000000000100000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000000000000010\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000010000000000000\
000000000000000000\n0001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000100000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000010010000000000000000000000\n000000000100000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000001000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000100000000000000000000000000000010000000\n000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00000000000100000000\n00000000000000000000000000010000000000000000000000000000\
0000000000000000000000000000100000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000010000000000000\n0000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000010\n00000000000000000100000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00100000000000000000000000000000000000000000\n00100000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000100000000000000000\n00000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000001000000000100000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000100000100000000\n00000000\
000000000000000000000000000100000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000001000000\n0000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00\n00000000000000000000000000000000000000000000000000100000000000000001000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000001000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000100000000000\
00000000000000\n00000000000000000000000000000001000000000000000000000000000000\
0000000000000100000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000010000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100100000000000000000\n00000000000000000000000000000000000000000000000000\
000000000100000001000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000001000000000000000000000000000000000000\n0000000000000000\
000000000000000100000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000100\n010000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000001000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
011000\n0000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000001000000000000000000000000000000000000000\n00001000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000010000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000000000000000100000000000000000000000\n00\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000010000000000000000000000\n000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000\n0000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000000000000000000100\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000010000000000000000000000\n0000000000000000000000000000000000\
000000000000010000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000100000000000000000000000\
0000000001000000000000000000000000000000000000000000000000000000000000000000\n\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000001000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000100\
0000000000\n000000000000000000000000000000000000000000000000000000100000000000\
100000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000000000000000\n00100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000\n000010000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000100000000\n00000000000000000000\
000000000000000000000010000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000010000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000100000000000000000000000000000000000000000000\n00000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000100000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000010\
00\n00010000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000000000000000000000000000\n000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010\n0000000010000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00001000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000010000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000100001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000100000000000\
0000\n000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000\n0000001000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000001000\
0000000000000000\n000001000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000100100000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000010\n000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000010000000000000000000000000000000000000\
000000\n0000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000000000000000000000000000000000000000\n00010000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000010000100\n00\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000000000000000000000\n000000000000001000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
100000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000\n00000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000010000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000010000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000100000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000100000\
0000000000000000000000000001000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000001000000000000000000000000\n0000000000000000000100\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000000000000000\n00000000001000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000001000000000000000000000\n0000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000001000000000000000\n00000000000010000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000100000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000010000000000\n00000000000000000000\
000000000000000000000000000000000000000010000000000100000000000000000000000000\
0000000000000000000000000000000000\n100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000\n0000000000000000000000000000000000000000000000010000000000000000\
00000000000100000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000000000000010\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000010\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100100000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000010000010\
0000000000000000000000000000000000000000000000000000000000\n000000000000000010\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000001000000000000000000001000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000001000000000000000000000000\
0000000000000000000001000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000100000\n0000000000000000000000001000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000010000000000000000000\
0000\n000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000\n0000000000000000\
000000000000010000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000001\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000\n0000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000100000000\n00000000000000000000000000\
000000000100000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000001001000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000100000000\
000000000000000000\n0000000000000000000010000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000010000000\n01\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000010000000000000000000000\n0000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000000\n00000000000000000000000000000000000000000000000000000000001000000000\
0000001000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000010000000000000000000000000000100000000\
000000000000000000000000000000000000000000\n0000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000100000\n00000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000100000000000000000000000000000\n\
000000000000000000000000100000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000001\n01000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000\n000000000100000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000010000000000000000000000000000000000000000000000000010000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0100000000000000100000\n000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
\n0000000000000000000000000000000000000000000001000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000100\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000010000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000101000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000100\
00000000000000001000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000010000000000000000000000000000000\n010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001\n0000000000000001000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000010000000000000000000000000\
0000000000000000000000000000000100000000000000000000000000\n000000000000000000\
000000000000000000000000000000000001000000000000000000010000000000000000000000\
000000000000000000000000000000000000\n0010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001\n00000000000000000000000000000000100000000000000001000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000010000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000\n0000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000\n00000000000000000000000000000000000000000000000010\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
0000\n000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000\n0000000000000000\
000010001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000100000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000001000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000010000000000000000000000000000000000\n00000000000000000010000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000100000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000000100000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000001000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000001000000000\n0000000000000000000000000000000000000000000000000010000000\
00000000000000000001000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000100010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000100000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000\n00000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000001000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000\n0000000000000000000000100000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000001000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000001\n\
000000000000000000001000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000010000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000010000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000010000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000100000\n00000000100000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000010000000\
\n0000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000100000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
1000000000000000000000000000000000\n000000000000000000010000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000010000000000000000000000000000000000000000\n00000000\
000000000000110000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000001000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000100000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000000001000\n000000000000000000\
000000000000000000000000000000000000000000000001000000000000100000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000001000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000000010000000000000000000000000000000000000000000\n000100\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000\n00000000000100000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000010000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000\n0000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000100\n00000000000010000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000001000000\
000000000001000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000010000000000000000000000000000000000000000000000000000010\
00000000000000000000000000000000000000000000000000\n01000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000100000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000000001000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000010000000000000000000\n000000100000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000001000000000000000000000000000000000\
00000000000001000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000010000000000000000010000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000100000000000000000000\n0000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000000000000000000000000000000000000001\n000000000000\
000000010000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000\n00000000000000000000000000010000000000000000000000000000\
0000000000000000000000000000000000000000000001000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010100000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000010001000000000000000000000000000000000\
00000000000000000000000000000000\n01000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000001000000000000000\
000100000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000100000000000000\n00000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000\n000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000001000000000000000000000\n00000010000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001\n0000000000000000000000101000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000\n000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000100000000000\
00\n00100000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000100\n0000000000000000000000010000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000000000000000000000100000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000010\n0010000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000100000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000010000000000\n0000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000001000000000\n00000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000100000000000000000000\
0000000000000000\n000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000\n0000\
000000000000000010100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000001010000000000000000000000000000000000000000000000\
0000000000000000000000000000\n100000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000100000000000000000000000\n01000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000100000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000100000000000000000010000000000000000000\n00\
000000000000000000000000000010000000000000001000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000001000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000\n00000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000010000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000001000000000000000\n0000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000\n00000000000000000010000000000000000100000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000\n0000000000000000000000\
000000000000000000000000100000010000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000001000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000100000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000\n1000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000010000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000100\
0000000000000000000000\n000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
\n0000000000000000000000010000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000100000000000000000000\n000000000000000010000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000001000000000000000\
10000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000100000000001000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000010000000000000000000\
00\n00000000000000000000010000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000000000000000\n000000000000001000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000001000000\n00000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000100000000000000000000000000000001000000\n000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000\n0000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000\n00000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000001\n0000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000\n00000100000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000100000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000100000000000000000000000000\n00000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000\n000000000000000000001000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000\n0010000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000100000000000000000000\n000000000000000000000000000000000000\
000000000000000000010000000000000000100000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000100000000000000000000000000000000010000000000\n00\
000000000000000000000000000000000000000000000000001000000000000000000000000100\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000100100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000001000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000000100000000000000000000000000\n000000000000\
000000000000000000000001000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000001000000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000010000000000000000000000000000000100000\n\
000000100000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000001000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000010000\
0000000000\n000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000001000000000000000000000000\n0000000000\
000000000000000000000000000000000001000000000000010000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000010000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000010010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000100000000000\n00000000000000000000\
000000000000000000001000000000000000000000000000000000100000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000\n0000001000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000001000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000\n0000000000000000000000001000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000001000000000000\n0000000000000000000000000000000000000001\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000000000001000000000000000000000000000000\n000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000\n0000000000000000000000000000\
000010000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000\n00100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000\n000000000000000000000000000000000000000000000000010000000000000000000000\
010000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000001000000000000000000000\n00000000000000000001000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000\n100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000\n0000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000100\n000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000\n0100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000001000000\n00000000000000\
000000000000000000000000000000000000000000000000001000010000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000100000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000001000000\
00000000000000000000000100000000000000000000000000000000000000000000000000","Z\
2" : "100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000\n00000000010000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000100000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000100000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000001000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000100000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000110000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000000000000000000000000000000000000100000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000100000000\n000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000100000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000100000000000000000000000000000000000000000000000000000\n000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000001000\n00000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000010000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000100000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000000010000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000\n0001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000001\n000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000001000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000010000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000001\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000001000000000\n0000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000001000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010\n0000000000000000000000000000000000010000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000\n000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000001000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000001000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000001000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000\n00000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000010000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000010000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000\n00000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000\n010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000010001010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000100000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000100000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000\n00000000000010000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000100000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000\n0000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000100000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000100000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
100000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n1000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000011000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000010000000000000000000000000000000\
000000000000000001000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000100000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000100\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000100000000000000000\n000000000000000000000000000000000000000000000000\
000000000110000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000100000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000011000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000000000000000000000\n000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100\n00000000000000000000000000000001000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000010010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000100000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000001\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000001000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000000001000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000010\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000\n000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000010000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000001\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000100000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000000000000000000000001000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000001\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000000000000001000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000100000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000100000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000001000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000\n00000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000001000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000100000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000100000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000000000000000000000001000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000\n000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00001000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000001000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000110000000000000000000000000000000000000000000000100000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000001000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000\n000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000010000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000110000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000011000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000010000000000\n000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000001000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000100000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000001000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000001000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000100000000000000100000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000000000000000\n00000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000000000\n000000000000000000000000000000000000000001000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000100000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000100000000000000000000000000000000000000000000010000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000001000000000000000000000000\n0000000000000000000100000000000000000000\
000000000000000000000000000000010000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000000000000000\n001000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000001000000000000000000\
000000000000000000000000000000\n0000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000001000\n00000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000010000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000001000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000001000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000","index" : 2640}
{"Z1" : "100000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000\n0000000000000\
001000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000\n00000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000\n000000000000000000000000000000000000000000000000000000000\
000010000010000000000000000000000000000000000000000000000000000000000000000\n0\
000000000000000000000000000000000000000000000000000000000001000001000000000000\
00000000000000000000000000000000000000000000000000000\n00000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000010\n000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000\n0000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000010000000000000000000000000000010000\n00000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000001000000000000000\n000000000000000000000000001000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000\n0000000000000000000000000000000000000000000100000000000\
00000000000000000100000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000010000001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010100000000000\
0000000000000000000000000000000000\n000000000010000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000001000000000000000\n00000000\
000000000000000000000000000000000000000000000000000100000000000000000000010000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000100000000000000000\n0000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00\n00001000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000010000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000010000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000100000000000000000000000000010000\n000000\
000000000000000000000000000101000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000100\
00000000000000000000000000\n00000000000000000000000000001000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000010000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000010000000000000000000000000000\n00000000000000000000000000000000000000\
000000110000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000100000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000101000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
0000000000000000000000001000\n000000000000000000010000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000000000000000000000000000\n00000000000001\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000000000000000000000000000\n000001000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000000000000000100000000000000000000000000\n00\
000000000000000000010000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000\n0000000000000000000000010000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000000001000000000000000000000000000000\n000000000000\
000001000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000001000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000010000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000010000000000100000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000001000000000\n00000000000000000000000000100000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000100000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000001000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000100000000000000\n000000000000000000010000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000001000000000000000000001000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00100000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000100000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000010000000000010000\n00000000\
000000000000000000000000000100000000000000000000000000000000000000000000010000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000100\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000010000000000000\
00\n00000000100000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000001000010000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000001000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000000000000000000000\n000000\
000001000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
100000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000001000\
0000\n000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000010000000000000000000000000000000000000\n0000000000000000\
000000001000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000010000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000010000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000001\n00000000000000000000000001\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000001000000000000000000000\n00000000000010\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000000000000000000000000000001000000000\n00\
000000000000000000000000000000000000100000000000000000000000000000000010000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000001000000\n0000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000\n00000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000000001000000000000\n001000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000010000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000010000000000000000000000000000000\n\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000010000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000001000\
0000000000\n000000000000000000000000000000000000001000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000000000000000000000010000\n00000000000000000000000000000010\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
\n0000100001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000010000\
0000000000000000000000000000000000\n000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000000000000000000000000001000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000000000000000000000000100000\n000000000000000000000000000000\
000000000100000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000010000000000000000\n000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000\n0000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000000010000000000000000000\n000000\
000000000000000000000000000000000000000000000000010000000010000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000001000000000\
00000000000000000000000000\n00000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000\n000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000\n0000000010000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000\n000000000000100000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000100000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000010000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000001000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000100000000000000000100000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000010000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000001000\n0000000000000000000000000000010000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000100000000\n00\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000010000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000010000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
01000000\n00000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000100000000000000000000000000000000000000000\n100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000\n0000000000000000000000000000000000\
000000000000000000000000100000100000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000010000001000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001001000000000000000000\n0000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0100000000\n000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000001000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000100001000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000001000\n000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
\n0000000000000000000000010000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000010000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000010000000\n0000000000000000000000000100000000000000000010000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000100000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n001000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000010100000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000001000100000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000010000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000\n0000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100\n00000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000000010000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000100000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000100\
00000000000000000000000000\n00000000000000000000000001000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000100000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00001000000000000000000000000000000000\n00000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000001100000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000001000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000001000000000000000000000000000\
000000\n0000000000000100000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000100000000000000000000000000\n000000010000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000001100000000000\n01\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000\n0000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000\n00000000000000000000000000000000000000000000000000000000010000000100\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000\n0100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000\n00000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000001000\n\
000000000000000000001000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000011000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000100001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000100000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000001000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000001000000000000000\n000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
\n0000000001000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000010000000000000000000000000000000000000000001000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
010000000000\n0000000000000000000000000000000000000001001000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000100000000000000000000000\n000000011000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000010000000001000\n000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000\n0000000001010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000000000000000000000001000000\n000000\
100000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000100000000000000000000\
00000000000000000000000000\n00001000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000100000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000010000000000000\
0000000000000000\n000000000000000000000000000011000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n1000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000010000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000100000000000\
000000\n0000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000001000000000000000\n00000000000000\
000001000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000100000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000000001000000000000000000\n00\
000000000000000000000000000100000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000100000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000001000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000100000000000000000000000000000000000\n100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000\n0000000000000000010000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000100000000000000010\n\
000000000000000000000000000000000001000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000001\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00010000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000\n0000000000\
000000000000000000000000100000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000\n00010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0100000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000010\
\n0000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000010000000000000000000001000000000000000000\
0000000000000000000000000000000000\n000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000100000000000000000\
00100000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000010000000\n000000000000000000000000000000\
001000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000\n0100000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000000100000000000000000000000000000000\n000000000000000000\
000000000000000000000010000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000\n0000000000001000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000100000100000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000100000000001\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001001000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000\n000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000\n0000000000000000\
000000100000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000001000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000\n001000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000100000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000000001000000000000\n000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000010000\
000000\n0000000000000000001000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000100000000000000000000\n000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000\n0000000000000000010000000000000000000000000000000000000000\
00000000000010000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000001000000000000100000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000100000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000100000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000000000000100000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000001000000000000000000000000000000000\n0000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000001000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000010\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000010000000000000000000000000000000000000000000\n0000000000000010000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000010000100000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000001000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00100000000000000000000000000000000000000000\n00000000010000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000100\
\n0000000000000000000000000000010000000000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000000000000000\n01000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000010000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000000000000000000000000001000000000000\n00000001\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000010000\
000000000000000000000000\n0000001000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000000000010000000000\n000000000000000000\
001000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000010\n00000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000001000000000000000000000000000000000000000001\n000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000\n0000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000\n00000000000000000000000000000010000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000100000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00001000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000100000\
0000000000000000\n000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000\n0000\
000000000000000000000001000000000000000000000000001000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000001000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000\n0000000000000000000000000000000000000000000100000010000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000010010000000000000\
0000000000000000000000000000000000000000\n110000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000100000000000001000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000000000000000000000000000010000\n000000001000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100100000000000000000000000000\n000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000010010000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010010000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
010000000000000000000000000000000000000000000000000000\n0000010000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000001000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000100100\n01000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000010000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000001000000000000000000000000000000000000\n00000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000001000001000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000010000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000100000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000100\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000010\
00\n00000000000001000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000\n0000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000110000000\n000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000\n0000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000\n00000000000000000000000000001000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000010000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000100000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000\n000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000\n0000\
000000000000000000000000101000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000000001000000000000000000\n000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000100000000000000000000000000\
000000\n0000000000000000000000000001000000000000000000000000000000000100000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000000000000000000000000000010000\n000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000001000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000010000000000000100000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000001000000001000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000001000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000001000000000000000000000000000000\n000000000000\
000000000010100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000010000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000100010\n\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000001000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000100\n00000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000100000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000001000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00000000000000001000000000000000000000000000\n00000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000001001000000000000000000000000000000000000000000000000\
\n0000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000010000000000\n000000000000000000000010000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000001\
00000000000000001000000000000000000000000000000000000000000000000000\n00000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001\n000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000001000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000010000000000000000000000000\
00\n00000000000000000000000000000000000000010000000100000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
100000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000001000000000000000000000000000\
00000000000000\n00000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000001000000\n000000\
000000000000001000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000010000000\n00000000100000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000001000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000001000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000001000000000000000000001000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000001\n0000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000010\n00000000000000000010000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000100000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000001000010000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000010000100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000100000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000001000000000000000000000000000\
00010000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
0000000000000000000000000000000000000000000000000010\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000100000000000000000000000\n0000000001000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000100000000000000000000000000000000\
0010000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000100000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000001000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000100000000000000000\
0000000000000000001000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000100000000000000000000000000000000000\n0000000000000000000000\
000000000000100000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000010000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000010000\n0000000000\
000000000000000000000100000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000010\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000\n000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000010000000000\
00000100000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000011000000\n000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000010000000000000000000000000\n00000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000100000000000000\n0100000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000010000000000000000000\n000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000\n0000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000\n00000000000000000000000000000000100000000000000000000100000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000010000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000010\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000001000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000001000000000000000000000\n0000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000001\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000001000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000010000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000001000000000000000\n000000000010000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000100000\
00000100000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000100000000000000000000000000\n000000000000000000000000000000000000\
000000000000000010000000000000000000000100000000000000000000000000000000000000\
000000000000000000\n0000000000000000001000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000001000000000000000000000000000\n000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000\n0000000000000000000000000000000000000000000100\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001000000000100000000\n100000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000010\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000100000000000000000000000000000000000100000000000\n\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000010\n0000000000000000010000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000010000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000010000000000000000\n0000000100\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100010000000000000\
\n0000000000000000000000000000000000000000100000000000000000000000000000000000\
00000100000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000001000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000100000000\
000000000000\n0000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000010000000000000000000000000000000000000000\n00100000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000001\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000100000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000001000000000000\n0000001000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000010000000\
0001000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100\n0100001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100001000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
010000000100000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000100000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100001000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000010000000000000010000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000000000000000100000\n00000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000010000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000001000000000000000000\
000000\n0000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000100000000000000000000000000000\n00000000000001\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000100\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000000000000000000000001000000000000000000000\n00\
000000001000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000100000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00100000\n00000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000001000000000000000000000000000000000\n000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000\n0000001000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
0000000000000000000000000001000100000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000010000000000000000000000000000000000000\n0001000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000001000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000001000010000000000000000000\
00000000000000000000000000000000000000000000\n00000001000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000010000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000000000010000000000\n00000000000000000000\
000000000000000000000000000000000000010000000000100000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000001000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000000000000000000000000000000000000000000000001000\n00000000\
000001000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000001000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000001000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000100000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000100000000000000000000000\n0000000000000000000000000000000000000000\
000000000000010000000000010000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000100000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100001000000000000\
00000000000000000000000000\n00010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000\n000000000000001010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000000000\n00100000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000100000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000100000000000000000000000000\n00000000000000000000000000\
000000000000000000001000000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000010\n0000000000000000010000000000000000010000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000001000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000010000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000100000000000000000000000000001000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000100000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000010\
00000000\n00000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000001\n0000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000010000000000000000\
00000000000000000000\n00001000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000100000000000000000000000000000000000000\n\
000000000000000000000000010000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000100000000000000000\n00000000000000000000000000000000000000000000\
000000000000000100000000000000000000000001000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000100000000000\n0000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000\n00000000000000000000000000000000\
000000000000000000000000100000000000001000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000001000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000001000010000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
010000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100\n0000000000000000100000000000000000000000000010000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000000000000000100000\n000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000001000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000100000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000100000000000000000000000000000000000000\n000000000000000000\
000000000000000000000010000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000001000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00010000000000000000000000000000000000000000000100000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000001000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000001000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000001000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000010000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000001000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000\n001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000\n0000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000010000000000000000000\n00000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000001000000000\n00000100001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000\n0000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000010000000000000000000\n00\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000010000000000000000000000000\n000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000100000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000100000000000000000000000000000000000000000\n000001000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000100000000000000\
00000000000000000000\n00000001000000000000000000000100000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000100000000\n0000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00000000000000000000010000000000\n00000000000000000000000000000000000001000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000001000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000010000000000000000000000000000000001000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000010000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000001000000000000000000000000000\
\n0000000000000000000000000000000000001000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000000000000000\n00000100000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000010000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000000010000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000010000000000\n000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000\n0000001000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000000000010000000000000000000000\n000000000000000000\
000100000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000010000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000100000000000000\
0000000000000000000000000000000000000000000000000100000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000100010\
000000000000000000000000000000000000000000000000\n0000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000\n00000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000010000000000000000000100000000000000000\
00000000000000000000000000000000000000\n00000000000001000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n100000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000010000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000100\n000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000110000\n00000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0001000000000000000000000000000000000000\n000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000\n0000000000000000000000001000000000000000001000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000001000000000000000000\n000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000100000000000000\n0000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000010000000000000000000000000000000000000000000000\n000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100\n0000000000000000000010000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000100000000000000000000010000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
100000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000100000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n10000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000000000001000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000100\
0000000000000000000000\n000000000000000000000000000000000001000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000000000000000100000000000000000000000\n00000000000000000001\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000100\
000000000000\n0000000000000000000000000000001000100000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000000000001000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
010000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000010000000000000000000000000000\
00\n00000000000000000000000000000000000010000000000000000000000000000000000100\
0000000000000000000000000000000000000000000000000000000000\n000000000100000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000010000000000\
00000000000000\n00100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000000000000000000000\n000000\
000000000000000100000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000100001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000100000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000100000000\n0000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000\n00000000000000001000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000\n001000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000100000000000000000000010000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000010000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000\n0000000010000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000001000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000010000\
000000000000000000\n0000000000000000000010000000000000000000000000000000000000\
00000100000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000100000000000\n000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000001000000000000\
000000000000000000000000000000\n0000000001000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000010000000000000000000000010000\
0000000000000000000000000000000000000000000000000000000000000000\n000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000001000000\n00000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000010000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000010000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00001000000000000000000000000000\n00000000000000100000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000010000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000010000000000000000000000000000\n00000000000000000000010000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
\n0000000000000000000000010000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000000000000000000000000\n00010000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001\n0000000000000000000000000000000000000000000000000001000000010000\
00000000000000000000000000000000000000000000000000000000000000000000\n10000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000001\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000001000\
00\n00001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010100000000000000000000000000000000\n0000000000000000000000000000000000000000\
001000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000\n00001000000000000000000000000000000000000000000000000000000000\
0000000000000000001000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000010000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000100\
00000000000000000000000000\n00000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000101000000000000000000000000000\n0000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000\n00000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
1000000000000000\n000000001000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000010010000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000000\n000000000100000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000010000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000001000000000010000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000100000000000000000000\
000000000000000000\n0000000000000000001000000000000000000001000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000000000000\n000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000\n0000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000010000000000000000000000000000000000000\
00000000\n00000000000000100000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000001\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000010000000000000000000000000000000100000000000000000000000000000\
00000000000000000000\n00000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000001\n\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000\n0000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000100\n000000000000001000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001100000000000000000000000\n00000000000000000000000000000001\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000100000000000000000000100000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000100000000000000010000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000010000000001000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000\n0000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000010000\n00000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001\n000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000001000000\
00\n00000000000000000000100000000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000\n0000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000000000000000000000000000001000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000010000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000001000000010000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001\n000000000000000000000000000000000000000000000000000000000100000000000000\
010000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000010000000000000000\n00000000000000010000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000100000000\n0000\
000000000000000000000000000000000000100000000000000000000000000000010000000000\
00000000000000000000000000000000000000000000000000\n00000000000010000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n010000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000100000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000\n000000000000000000000000000000000000\
000000000000010000010000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000000000000000000000000000000000000000","Z\
2" : "100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000000000000000\n00000000000000000100000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000010000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000000\n000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000\n0000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000100000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000110000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000000000000000000000000000000000010000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
101000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000010000000000000000000000000\n\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000000100000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000100\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000100000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000100\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000010000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000001000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000001000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000\n000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000100000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010001000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
010000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000100000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000\n000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000001000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
001000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000100000000\n00000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000001000\n000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000010010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000010000000000000000\n00000000000000000000000100\
100000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000001000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000\n00000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000001000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000010000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000000000000000000000000000000000000000000000000\n00000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000001000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000001000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000000000000000000000000000000000000000\n00\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000\n00000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000000000000000000000000000000000100000000000\n000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000\n0000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000000000\n00000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000100000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010100000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000\n0000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000000000000000000000000000000000000000000000001\n\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000110000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000\n000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000000000000000\n00000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000101000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000010000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000000000000\n000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000010000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000001000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00\n00000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000100000000\
000000000001000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000100000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000\n000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010001000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000100000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000\n0000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000110000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000100000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000010000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000001000000001000000000\
00000000000000000000\n00000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000010000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000100000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000001000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000001000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010\n0000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n01000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000001000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00\n00000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000","index" : 2640}
{"Z1" : "100000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000\n0\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000010010000000\n00000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000000000000100000000000000000000000\n000000000000000000000\
000000000000000000000000000000000000000100001000000000000000000000000000000000\
000000000000000000000000000000000000000000000\n0000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00100000000000000000000000000000000\n00000000000000000000000010000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000\n000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000\n0001000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000\n00000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000010000000000000000000000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000001\n0000000000000\
000000010000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000\n00000010000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000000\n001000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000100000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000\n00000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000010000000000000000000000000000000000000000000\
0000000000000\n000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000\n0000000000000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000010000000000\n00000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000000000000000000000010000000000000000000\n000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000001000000\n0000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000001000000000000000000\n01000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000\n000000000000000000000000000000000010000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000\n0001000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000010000000000000000000000000000000000000000000000000\
0\n000000000000000000000000100000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000\n0000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000001000000000100\n00000000000000000\
000000000000000000010000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000000000000\n000000001000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000100000000000000000000000000\
00000000000000000000000000000\n00000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000\n000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000001000000000\
000000000\n0000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000001000000000000000000000\
\n0000000000000000000000000000000000000000000000010000000000000000000001000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000010000000000000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000001000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000100000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000001000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000100\n0000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000100000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000010000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000100\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000100001000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000110000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00001000000000000000000000\n00000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000\n000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000\n0000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000001\n000000000000\
001000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000100000000\
00000000000000000000000000000000000000000000\n00000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000000000\n000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000001\
00000000000000\n00000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000\n000000000000000000000000000001000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000100000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000100000000000000000010000000000000000\
0000000000000000000000000000000000000000000000000000\n100000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000001000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000001000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000001\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000100000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000100000\n000001\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000100000000000000000000100000000000000\n00000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000\n000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000\n0000000000000000000000100010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000001001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
\n0000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000000000000000000000000000000000010000000000000000000000000000\n00000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000000000\n100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000\n0000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000100000\n00000000000000000000000010000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000010000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000001000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000100000010\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000001000000\n0000000000\
000000000000000000000100000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000000000000000000000\n00000000000110000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000100000000000000000\
00000000000000000000000000\n00000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100\n001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000100000100000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000100000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000100000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000100\n00000000000000000000000000000000\
000010100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000\n0000000000000010000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000010000000000000000000000000\
0000\n000000000000000000000000100000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000001000000000000\n00000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000000000000000000000\n000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000\n0000000000000001000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000000\n01000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000100000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000010000000000000000000000000000000000000000000000000\n000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000001000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000\n000000000000000001000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000100000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000010000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
\n0100000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n10000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000001000000000000000000000000000\n000000000000000000\
000000000000000000000110000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000001000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000001000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000101\
000000000000000000\n0000000000000000000000000001100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000100000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010100000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000010000000100000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000000000000000001000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000100000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000010000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000100000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000\n0000000000100000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000010000000000000000000000000000000000000000100000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000001000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000001000000000000000000000\n01000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000100000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000100000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000\n000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000100000000000000000\n00100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000010000000000000\n000000000000000000000000\
000000000000000001000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000\n0000010000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000010000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000010000\
00\n00000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000001000000000000000000\n000000\
000000000000000000000000000000000000000000100000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000001000000000000000000\n00000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000010000000000000\n000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000\n0000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000010000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000000100000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000010\n000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000001000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000000000000000000000000000100000000\n00001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000\n000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000\n0000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000010000000000000000000010000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000001000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010000000000000001000000000000000\n00000000000000000000\
000001000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000010000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000100000000000000000000\n00000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
0000000000000000\n000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000010001000000000000000000000000000000000000\n00\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000000000000000000000000000000000\n000001000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000010000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000100\n000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000010000000000000000\
00000000000000\n00010000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000100\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000000000000000000100000000\n00000000000000\
000000000000000010000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000010000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
001000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000001000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000100000\n0000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000000000001000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000010000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
01000000000000000000000000000000000000000000000000\n00000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000000000000000\n000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000010\
00000000000000000000\n00000000000000000000000000000000000000000000000000000010\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000100000000000000000000000000000\n00000000\
000000100000000000000000000000000000000000000000000000000000000100000000000000\
0000000000000000000000000000000000000000000000000000000000\n100000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000100001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000001000000000000000000\n000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000\n0000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000000000000000000000100000000\n\
000100000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000010\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000010000000000000000000001000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
010000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000010000001000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000010000000\n000000000000000000000000000000001000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000010000000000000000000000000000000000000000000000000000\n00\
000010000000000000000000000000001000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000\n00000000000000000000000000000000\
100000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000001000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000001000\n00000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000100000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000010000000000000000010000000000\n00000000000000\
000000000000010000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000\n0000001100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000100000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000010000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000001000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0100000000000000000000000000000000000000000000000000000000000000000010\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000010\n0010000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000100000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000001000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000001000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000001000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000100000000010000\n000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010\n0000000000000000000000000000\
000000000000000000000100000000000000000000000000000001000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000000000001\n000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000010000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000000000000000010000000000000000\n\
000000000000000000000000000000000000001000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000\n1000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000100000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000100000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
0000000000001000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000100000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000000000000000000000001\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100100000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000001000\n0000000000000000000000\
000010000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000010000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000001000000000\
000000000000000000000000\n0000000000000001000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000100000\
0000\n000000000100000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000100000\n00000000000000\
000000000000000000000000000000100000100000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000100000000000000000000000\n00000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
0000000000000000000000\n000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000001000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000100000000000000000000\
0000000000000001000000000000000000000000000000000000000000000000000000\n000000\
000000000100000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000001000000000000000000000000\n000000000000000000000000000000000100\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000\n00000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000\n000000000100000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000001000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000100000000000010000\n001000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00000000000000000000100000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000010000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000010000000000\
000000000000000000\n0010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000\n00000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000010000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100010000000000000000000000000000000000000000000000000000\n0010000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000010000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100100000000000000\n0000000000000000000000000000010000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000010000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000001000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000000000000000000000000100000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000100000000000000000000000000000000100000000000\n000000000000\
000000000000000000000000000000000000000000000000000000001100000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000010000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000001000000000000000000\n000000000001000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000100000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000\n000000000000000000000000100000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000100000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000010\n000000000000000000000010\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000\n0000001000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000\n000000000000000000000000000000000000000000000000000010\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000100000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000100000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000001000000000000000\n000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000\n0000100000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000010\
0000000000\n001000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000100000000000000000000000000000000000000000000000\n00000000\
000000000000000001000000000000000000000000000000000100000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000001\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000100000000000000\n00000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000010000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00100000\n00000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000000000000000000000000000000000000\n\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000\n0000000000\
000000000001000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000\n000000000000000000000000010000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0001000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
0000000000000000\n000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001\n0000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000110000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000000000000000\n000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000100000000000000100000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000010000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000100000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000100000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000010000000000000000000000000000\
0000\n001000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000100000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000001000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000010000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000010000000000000000000\n00000000000100100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000010000\
1000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000001000000000000000000000000\n0000000000000000\
000010000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000010000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000100\
00000000000000000000\n00000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000\n000000001000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000001000100000000000000000000000000\n000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000100000000100000000000\n01000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000\n000000000000000000000000000000000001000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000010000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000100000000000000000000000\n0000000000\
000100000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000010000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000010000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000001000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000001000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000000010000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000000001000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000010000000000000000000000000000000000000000\n0000000001001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
010000000000000000000000\n0000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000010000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000001000000000000\n0000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000000000000000100000000000000000000000000000000000\n00000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000001000000000000000000000000000\n000000000000000000000000\
000000000000000000000000010100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000010000000000\n00010000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000010000000\n0000001000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00\n01000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000001000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000100000000000000000000000000\n00000000000000110000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000001000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000010000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010\n000000000000000000000000000000000000000000000010000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000010000000000100000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000000001000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000100000000000000000000\n0000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000\n00000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000100000000000\
000000000000000000\n0000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000\n00000000000100000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000\n0000000000\
000001000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000\n000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000001000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000100000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000\n0000000000000000000000000000000000010000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000000000000000000000000000000000001000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000010000000000000000000000\n0000000001100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000100000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000\n0000000000000000000000000100000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000\n00000001000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000\n0000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000000000000000000000000000000000\n01000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000010000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000\n00000000000000000001000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000101000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000001000000000000000000000000000000\
00\n00000000000000000000000000000000100000000000000000000000000000000001000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000001000\n0000000000000010\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000000000000000000000000\n000000000000000001000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000011\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000100000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000001000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000001000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000001000000000000000000000\n000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000\n0000000000000000000000000000\
000000000000000001000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000010000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n010000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00001000\n00000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000000100000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000\n0000000000\
000010000000000000000000000000000000000001000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000010000000000000000000000\n000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000000010000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0001000000000000\n000000000000000000000000000000000000000000000000000000000100\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000100000000000100000\n00\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000000000000000000000000000000000000100000000000000\n000000000000\
000000000000000000010000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000\n00000000000010000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000010000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000100000000000000000000000000\
00000000000000\n00000000000000000000000000000000000100000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000010000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000000000\n000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000001000000000000001000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000010000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000\n100000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000001000000000000000000000000000000000\n000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000\n0000000000000000\
000000000000000000010000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000000000\n00000000100000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00000001000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000100000000000000000000000\
0000000000\n000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000000000000000000000000000000000000100000000000000000\n00000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000000000000000000000000000\n000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000001000000000000000\
00000000000000000000000000000000000000\n00000000001000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000100001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000100000000000000000000000000000000000000001000000000\n\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000010000000000000000100000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n10000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000\n000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000\n0000000000000000000000000000000000000000\
000000100001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0100000000000000\n000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000100000100\n00\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000100000000000000000000000000000000000\n000110000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000100000000000\n000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000\n0000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
001010000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000010000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000000000000000000000000000000000100000000\n00000000000001\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000001000000000000000\n0000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000100000000000000000000000000000\
0000000000000000000000\n000010000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000100000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000001000000000000000000000010000000000000000000000\n000000\
000000000001000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000001000000000010000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000001001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000010000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000100000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000100000000000000\
\n0000000000000100000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0001000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010100000000000000000000000\n00000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000\n000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000001000000000000000000000000\
0000000000000001000000000000000000000000000000000000000000000000000000000000\n\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000\n0000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000001000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000001000000001000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000101000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01100000000000000000000000\n00000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000\n000000000000000000000000000000000000000000100000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000010000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000100000000000000000000000000000000\n000000000000\
000000000000000000100000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000010000000000000000000000000000000000000000100000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000100000000\n000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000010\n00000000000000000000000000000000000000000001000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000\n0000\
000000000000000000010000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000\n0000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000001000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000100000000000000001000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00\n00000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000000000000010000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010100000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000100000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000000010000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000100000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010010000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000001000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000100000\
\n0000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000000000000010000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000000000000000000000000000000000010000\n000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010000100000000\n00000000000000000000000000000000000000\
000000000010000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000\n0000000000000000100000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000000000000000000000000000000000000000000010000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001010000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000010000000000000100000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000010000000000001000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000010010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000010000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000100000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000001100000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000001000000010000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000001000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000\n0000010000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000010000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000001000\n0000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000001000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000010000000\n0000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000010000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000100000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000001000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000100000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000100000000000000000000000000000000000\
00\n00000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000000000000000000010000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000100000000010000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000\n000000000000000000010000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000100000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000001\n000000000000000000000000000000000000000010000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
\n0000010000000000000000000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000010000000000000000000100000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000100010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000\n00000000000000000001000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000001000000100000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000\n01000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000010000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000000010000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000001\n0000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000\n00000000000000000000010000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000010000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000001000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000010000000000000000000000000000000000000000\n00\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000100000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000001000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000001000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000010001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n1000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000010000000000000\n0000\
000000000000000000010000000000000000000000000000000000000000000000000000001000\
00000000000000000000000000000000000000000000000000000000000000\n10000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000000000000000000000000000000000000000000\n000000000010000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000010000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000100000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000100000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000010000000000000000000000000000000000000000\n000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000\n0000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000010\n001000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000001000000000\n00000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000\n000000000000000000000000000000000000000000010000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000100000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000001000000\n000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000100000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000000000100000000000\n000000000000000000000000000000000000000000000000\
000100000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000001000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000001000000000000100000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000010000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000010000000000000000000000000\n00000000000000000000\
000000000100000000000000000000000000000000000000000010000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000001000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000001000\
00000000000000000000000000\n00000000000000000000000000000000000000001000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000001000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000010000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000000000000000010000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000110000\n0000000000000000000000\
100000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000000000000000010000\n000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000001000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000100000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000\n0000\
000000000000000000000000000000000000000000000000000000000010000000000010000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000010000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
011000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000001000000\n00000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000\n000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000001000\
00\n00000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000001000000000\n000000\
000000000000000000001000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000\n00000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000100000000000000000000000000\n0000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000001000000000000000000000000\
0000000000\n000000000000000000000000000000010000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000001000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001100000000\n000000000000000000\
000000000000000000000000000000000000000100000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000010000000000000000000000000000000000000001000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000001000000000000000001000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010001000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000000000000000000000000000000000001\n\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000\n0000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000100\n000000000000000000000000000000\
000000000000000000000000000000010010000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100100000\
00000000000000000000000000\n00000000010000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000001000000000000000000000000100\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000100000000000000000000000000000000000000000000000\n000000000000\
000001000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000100000000000000000000000000\n00000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000011000000000000000000000000000000000\
000000000000000000000000\n0000010000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000\n000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000100000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000000000000100000000000000000000000\n000000000000000000000100\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000100000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000010000000000000000000000000\
0000000000000000000000\n000000000000000001000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000010000000000000000000000\
00\n00000000000000000000000000000000000000000000000000100000000000000000000000\
0000000000000000000000000000000000000000010000000000000000000000000000\n000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000\n0000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000000010000000\n000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000100000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000001000000000001000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
\n0000000000000101000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000010000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000001000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000001100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000100\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000001000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000100000000000000000000000000000100000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000001000000000000000000\n0000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000001000000000\n01000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000100000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000001000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000100000000000000000000000000000000000000\
0000000000000000\n000000000000000000010000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000001000000000000000000000000000000000010000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000010000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000\n00000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000001000000000000000\n0000000000000000000000000000000000001100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010001000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000001000000000\n0000\
000000000000000000000000010000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000","Z2" : "100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000100000000000000000000000000000000000000000\n00\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00001000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001000000000000000000\n00000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000100010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000100\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000100000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000100000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000001000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
110000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000010000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000100000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000010000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000010000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000100000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000100000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
0000\n000000000100000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000000000000000\n00000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000100000000000100000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000\n00000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000100000000000\n000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000010000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000100000\
00000000000000000000000000000000000000000100000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000010000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000010\n000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000100000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000010000000000000000000000000000000000\
0000\n000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100100001000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000000000000000000000000010000000000000\n00000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000001000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000010000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000001\
000000000000000000\n0000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000001000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000100\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000100000000000100000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000100000000000000\
0000000100000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000\n000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000001000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000001000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000100000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000100000000001000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000010000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000001000000000000000000000000000000\n00\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000010000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000100000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000\n0000010000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000010001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000100000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000100000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000001000000000000100000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000011000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000001000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000100000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000001000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000010000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000100000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000000000000000000\n00000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000100000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000001000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000110000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000001000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000001000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
100000100000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000\n000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000001000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000\n00000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000010000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n01\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000000000000000100000000000000000000\n000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000110000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001100000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n1000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000100\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000001000000000000000000000000000000000000000000\n0000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000\n0000000000000000000010000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000000\n00000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000010\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000100000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000001000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000001000000000\n000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000\n0000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000100000000000000000000\n0000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000101000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00100000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000100000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000010000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000001000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000\n000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000010\n000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000100000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000100000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100001000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000110000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000010000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000100000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000010000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000010000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000010000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000100\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000100000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000010000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000000000000000000000000000000000000000000000",\
"index" : 2880}
{"Z1" : "100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000\n0100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000\n00100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000001000000000000000000\n000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000\n0\
000100000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000100000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000\n000000100000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000100000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000\n00000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000100000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000\n0000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000000000000000000000000\n00000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000000000000000000000000000000000000\n000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000100000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000\n00100000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000100000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000\n0000000000000000100000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0\n000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010\n0000000000000000000100000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000\n00000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000000000000000000000000000000000\n000000000000010000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000\n0000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000\n00000000000000000000000100000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000\n000000000000000000000000100000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000001000000000000000\n\
000000000000000000000000000100000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000\n0000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000\n00000000000000000000000000000100000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000\n000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000\n0000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000\n00000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000100000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000\n0001000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000000000000000000000000000000000000000000000000000\n000\
000000000000000000000010000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000100000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000\n00000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000000000\n000000000000000000000000000000\
000100000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000\n0000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00\n00000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000000\n000000000000000000000000000000000000000000100010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000\n00000000000010000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000010\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000\n0000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000100\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000\n000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001\n0000000000000000\
000000000000000000000000000000000100000000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000\n00000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000\n000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000\n0000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000001000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000001000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000010000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000\n00000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000000000000000000000\n000000000000000000\
000000000000000000000000000000000001000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000\n0\
000000000000000000001000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000\n000000000000000000000000000000000000000000000\
000000000000000010010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000100000000000000000000000000000000000\n00000100000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000\n0000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000100000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000\n000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000\n0000\
000001000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000100000000\n000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000\n0000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000100000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0\n000000000000000000000000000000000000000000000000000000000000000000000000010\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000\n00000000000000000000000000000000000000000\
000000000001000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000\n0000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100\n00000000000000000000000000000000000000000000000000000000000000000000\
000100000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000\n000000000000000000000000000000000000000100000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000100000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000000000000000000001000000000000000000000000000000000000000000\n\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000\n0000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000010000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000001000000000000000\
0000000000000000000000000000000000000000000000000\n000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000\n00000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000010000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000010000000\
0000000000000000000000000000000000000000000000000000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000100000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000\n00000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000100000000000000000000000000000000000000000000000000\n0000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000\n000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000010000000000000000000000\n00000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000100000000000000\
000000000\n0000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0000000000000000000000000000000000001000000\n000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000001000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000001000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000010000000000000\
00000000000000000\n00000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000\n0000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000100000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000001000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000100000000\
00000000000000000000000000000000000000000\n00000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000001000000000000000000000000000000000000000000000000000000000\n0\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000001000000000000000000\
00000000000000\n00000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000\n000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000001000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000000000000000000000000000000\n00000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000010000\n0000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000000\n00000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000000000000000000\n000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000001000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000000000100000000000\n000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000\n0000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000100000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000001000000000000000000000000000000000000000000\
0\n000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000001000000000000000000000000\
000000000000000000\n0000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000000000\n00000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000010000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000\n0000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000001000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
0000000000010000000000000\n000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000100000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000000000000000000000000000\n\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000\n1000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000\n00000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000\n000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000100000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000001000000000000000000000000\
00000\n00000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000\n0000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000100000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000000000000000010000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000001000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000100000000000000000000000\n00000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000001000000000000\n0000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000001\
0000000000000000000\n000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000100000000000000000\n00000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000000000010000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000\n0000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000\n01000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000010000000000000\n000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000\n0000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000100000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000010000000000\n00000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000001000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000100000000\n0000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000010000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
1000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000100000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000000000010000\n00000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000001000\n000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100\n0\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000010\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000001\n000000000000000000000000001000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000010\n00000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100001000000000000000000000000000000000000000000\
000000000000000000000\n0000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000000\n000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000100000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000100000000000000000\n000000000000000001000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000\n0000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001010000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0\n000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000\n0000000000000000000000000000000001000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000\n00000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100100000000000000000000000000000000000000000000000000000000000\n0000000\
000000000000000000000000000000000000010000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000001000000000000000000\n000000000000000000000000010000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000010000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100010000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000\n0000000000000010000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000000\n000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000100000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000\n00000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000101000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000\n0000100000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000100000000000000000000000001000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000\n000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000100000000000\
00000000000000000000000000000\n00000000000000000000000000000000000000000000000\
000000001000000000000000010000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000\n0000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000101000\
00\n00000000000000000000000000000000000000000001000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000\n000000000000000000000000000000000000000000001000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000100010000000000000000000000000000000\n00000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000001000000000000000000000000000000000000000000\n000000\
000000000000000000000000000010000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000\n0000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000000000000\n000000000100000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000000000000000001000000000000\
\n0000010000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000\n00000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000\n0000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000100001000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000100000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000\n00000000000000000001010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000\n0\
000000000000000000000000000000000000000000000000000000100000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010001000000000000\n000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000100000100\n00000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000\n0000000000000000000000000001010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000000000000000000000000000\n000000100000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000100000000000000000\
000000000000000000000000000000000000000000000\n0000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000000000000000000000000000000000000000000000010000\n00000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0\n000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000101000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000\n00000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000010000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000\n0000000\
000010001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000\n000000000000000000100000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000100000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000000000000000000000001000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000001010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000\n0000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000\n00000001000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000\n000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000001000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000001000000000000000000000000000000000000000\
00000\n00000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000101000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000010000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000001000000000000000000000000000000\
00000000000000000000000000000\n00000000000000000000000000000001000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000100000000000000000000000\n0000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000010000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000\n000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000100000000000000000000\n00000000000000000000000\
000000000000000000000000000000000000000000101000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000\n0000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000100000000000000000000000000\n000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000010000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000100001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000\n00000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
1000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000\n0000000000000000000000000\
000000000000000000000000000000000000000000000000000101000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000001000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000010000\n0000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000000000000\n00000000000000000000000000000000000\
000000000000000000010000001000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000\n0\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000000010\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000\n000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000\n1000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000000000000000000000000000000000000000000000\n00000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000010000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000001000000000000000\n0000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000001000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000001000010000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000\n000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000001000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010100000000000000000000000000000\
000000000000000000000000000000000000000000000\n0000000000000000000010000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n01000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0\n000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000\n00000000000000000000000000000000000000000\
000000000000000000000000000000011000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000\n0000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001010000000000000000000000000000000000000000\
0000000000000000000000000\n000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001\n0000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000100000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000010000000000000000100\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000\n0000000000000010000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000000000000000000000000\n000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000010000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001010000000000000000000000000000000000000000000000000\
00000\n00000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001010000000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000000000000000000000000\n00100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001000000000000000000000000\n000\
000000000010000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000001000000000000000\n00000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000011000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000\n0000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000010000000000\n000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000010\
000000000000000000000000000000000000\n0000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000100000000000\n00000000000000000001000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000010000000\
000000000\n0000000000000000000000000000101000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000101000000\n000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000001000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000100\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000\n00000000010000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000\n0000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00001000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010010000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00100000000000000000000000000000000000000\n00000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000100\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000010000000\n0\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000\n000000000000000000000000000000000000000011000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0001000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000\n00000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000\n0000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000100000\n00000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000000000000\n000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000110000000000000000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000000000000000001000\n000000000000000000000000000000000000001000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000\n0000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000010000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000100000000000000000000000000\
0\n000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100001000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000100000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000\n00000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000001000000001000000000000000000\n000000000000000000000000\
000000000000000100010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000\n0000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000\n000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000\n0011000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000100000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000\n0000000100000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000000000000000000000000000000000000000000\n000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000\n0000000000\
000000000000000110000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000\n00000000000000000000000000000000000000000000000000000001000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000\n0000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000001000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000001000000000000000000000000000000000000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001001000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000001000000000000\n00000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000010000000000000000\n0000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00\n00000000000000000000000000010000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000\n000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000100000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000000000000000000\n00000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000000000000001000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010001\
000000000\n0000010000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000001100000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000\n000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000100000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000\n00000000000000000000000000000000000000000000000000000000000\
000000100000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000010000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000\n0000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000100000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100100000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000001000000000000000000000000000000000\n00000000000000010000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000\n0\
000000000000000000010000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000000\n000000000000000000000000000000000000001000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000000000000010000000000000000000000000000000000\n10000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000010000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000\n0000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000001000100000000000000000000\n000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000010000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000010\n00000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000100000000000000000000000000000\n0000000000000000000000000000000\
000000000000001000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000010001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0\n000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000000\n00000000000000000000000010000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001010000000000000000000000000000000000000000000\n0000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000100000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000\n000000000000000000000000000000000000000000000001000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000011000\n00000000000000000\
010000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000\n0000000000000000000000000000000000010000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000100000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000\n000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000100000000000000000000000000000000000000000000000000\
00000\n00000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000001000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010100000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0000000000000000000000000000000000000000000000010000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00110000000000000000000000000\n00000000000000000000000000000000000000000000000\
000000000000101000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000\n0000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000\n000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000\n0000010000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000\n00000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000100000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000\n0000000000000000000110000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000000000000000000000000000000000000\n000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000001000000000000000000000000000000000010000\
\n1000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000\n00000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000\n000000100000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000\n0000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000010000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000100000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000011000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000001000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000\n00000000000000000000000000000000000\
000000000000000000000000100000000010000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000\n0\
000000000100100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000\n000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000000001000000000000000000000000000000000000000\n00000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010100000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000\n0000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000100000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000000000000\n000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000000000\n000000000000000000000000000000000000000000000100\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000\n0000100000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0\n000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000100000000000000\n00000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000\n0000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000100000000000000000000000000000000000000\
0000000000000000000000000\n000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000100000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000010000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000010000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000\n0000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001000000000000\n00000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000\n000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000001000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000\n00000110000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000010000000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000001000000000000000000000000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000\n00000000000000000000000000000000000000000000000\
000000000000000000000100100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000\n0000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000100\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000\n000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000100000000000\n0000000000000000000000000000000000000000\
101000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000\n00000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000001000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000100000000000000000000\
000000000\n0000000000000000000000000000000000000000000000000000000001000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n10000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000\n000000000010000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000011000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000\n00000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000101000000\
0000000000000000000000000000000000\n000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000\n0000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000000000000000\n00000000\
000000001000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000000000000000000\
000001000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000010000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000\n00000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001100000000000000000000000000000000000000\n0\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000011\n00000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000\n010000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000000000000000000000000000000000000000000000000000000000000\n00000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000100000000000000000\
000000000000000000000\n0000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000001001000000000000\n00000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000000000000\n000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000100000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000010000\n000000000000000000000000000000000000000000000000\
000000010000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000\n0000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000000000000000010000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000010000000000000000000000000000000000000000\
0\n000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000110000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000\n00000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000001000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000100000000\n0000000\
001000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000000000000\n000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000\n0010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000100000\n00000000000000000\
000000100000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001001000000000000000000000000000000000000000000\
000000000000000\n0000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000001000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010010\
0000000000000000000000000000000000000000000000000\n000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000\n00000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000\n000000000000000000000000100000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000000000000000000000000\n00000000000000000000\
000000000000000000001000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000\n000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
100000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000\n00000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000001000000000000000000000\n0000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00\n00000000100000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000\n000000000000000000000000000000000000010000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000001010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000\n00000000000000000010100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000100\n0000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000100000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000100000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000\n000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000100000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000100000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10010000000000000\n00000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010010000000000000000000\n0000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000110000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000010000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000000\n00000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001001000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000\n0\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000011000000000000000000000000000\
00000000000000\n00000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000100000000000000000000\n000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000001000\n00000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000010000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000010000000\n0000000000000000000000000000000000000000000000100000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000001000100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000\n000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000001000000000\n0000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000\n00011000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000\n0010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000010000000000000000\n00000000100000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0\n000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000110000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000\n00000000000000000000000000000000000000000\
000000000000000000000000000000000110000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010\n0000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000001000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000100100000000000\n000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000\n0000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000010000\n00000000000000000\
000000000000000000000000000000100000000000000000010000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000011000000000000000000000000000000000000000000000000000000000000\
000000000000000\n0000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000010000000000000000000000\
00000000000000000000000000000000\n00000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000100\n000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000010000000\n0000001000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000\n00000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000100000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000100000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000010000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000001000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000100000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000\n00000000000000000000000000000000000000000000000\
000000000010000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000100000000000000\n0000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000001000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000\n000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000001000\
00000000000000000000000000000000000000000000000000000\n00000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000001000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000001000000\
000000000\n1100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000010000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000\n000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100010\n0000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000010000000000\n00000000000000000000000000000000000000000000000000000000000\
000010000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000\n0000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000000000000000000000000000100000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100100000000000000000\
0000000\n000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000\n0000000000000000000000110000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000\n00000000000000000000000000000000000\
010000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000\n0\
000000000000000000000000000000000000000000000100000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000001000000\n000000000000000000000000000000000000000000000\
000010000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000001000000000000000000000000000000000000\n00000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000101000000000000000000000000\
000000000000000000000\n0100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000110000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000\n000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000\n0000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000001000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100100000000000000000000000\
000000000000000000000000000000000000000000000\n0000000000000000000000000000001\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0\n000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000100\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000100000010000000000\n00000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000100000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000010000000000000000000000000000\n0000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000\n000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000001000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000100000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000\n0000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000000000000000000000000000000\n000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000010000000000000000000\
00000\n00000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000\n0000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000100000000000000000000000000000\n00000000000000010000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000\n00000011000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000\n0000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000100000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000000000000\n000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000010000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000000000000000000010000000000000000000000000000000\n00000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000000000000000000000000000\n000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000\n0000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000000000000000000000000000000000000000000\n000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000100000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
10000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000\n00000000000000000000000000000010000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000\n0000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000101000000000000000000000\n00000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000\n0000000000000000000000000001000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000\n00000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100010000000000000000\
0000000000000000000000000000000000000000000000000000000000\n001000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000\n0\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000110000000000000000000\n000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000010000000000000000000\n00000000000\
010010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000\n0000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000001\n000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000001000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000\n00000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000010000000000000000000000\n0000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000110000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0\n000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000\n0000000000000000000000000000010000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000\n00010000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000100\n0000000\
000000000000000000000000000000000000000000000000000000000001010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000010000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000\n100000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000100000000000000000000000000000000000\n00000000000000000\
000000000000000000010100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000\n0000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000101000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000001000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000\n000000000001001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000\n00000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000001001\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000100000\
000000000000000000000000000000000000000\n0000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000001000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001001000000000000000000000000000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000110000000000\
000000000000\n0000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010\n00000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000010000000000000000000\
0000000000000000000000000000000000000000000000\n000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000\n0000000000100\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00001100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000\n000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000\n0000000000000001000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000\n00000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000000000000000000000\n000100\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000\n0000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000110000000000000000000000000000000000\
0000000000000000000000000000000000000000000\n000000000000000000000010000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000100000000000000000000000000000000010000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000100100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000\n00000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000\n0000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000110000000000000000000000000000000000000000000000000000000\n00000010\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000000000000100000000000000000000000\n00000000000000000000000000000000000\
000000000000000000000000000010000000000010000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000100000000000000000000000000000000000000000000000000000\n0\
000000000000000000000000001000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000010000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000\n000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000000000000\n00000000000\
000010000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000\n0110000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000000000000000000000000\n000000000000000000000\
100010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000\n0000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000010000000000000000000000\
0\n000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000\n00000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0010000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000001001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000\n0000000\
000100000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000010000000000000000000000\
0000000000000000000000000\n000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000001000000000\n0000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000100000000000000000000000000\n00000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000000000000000000000000000\n\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000\n0000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000100000000000000000000000\n00000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000001000000000000000000000000000000\n000000000000000000000001000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000001\
00000\n00000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000010000000000\n0000000110000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000010000000000000000000000000000000000000000000000\n000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000\n00000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000001000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000001000000000\n0000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00\n00000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000\n000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100010000000000000000000000000000000000000000000000\n00100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000100000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000001000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000\n0000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100010000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000\n000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010100\n0000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000010000000000000000000000000000000000000000000000000000000000000000000000\
\n0001000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000\n10000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000001\n0000000000000000000000000\
000000010010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000001000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000001000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000000000000\n00000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001010000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000\n0\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000100\
00000000000000\n00000000000000000000000000000000000000000000000000000010010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000\n000000000000000000000000000000010010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000010000000000000000000000000000000000000000000\n00000000000\
000000000000100100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000100000\
000000000000000000000\n0000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000100000000000000000\n00000000000000000000000001000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000\n000000000000000000001\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000001000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000\n0000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001100000000000000000000000000000000000000000000000000000000\
0\n000010000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000100000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000\n00000000000000000000000000010000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000\n0000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000110000000000000000000000000000\
00000000\n00000000000000000000100000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000\n000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000001000000000000000000\
00000000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000100000000000000000000000000000000000\n\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000\n1000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000000000000\n000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010010000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000001000000000000000000000000\
00000\n00000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000\n0000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000100000000000\n000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000\n00000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000000000\n000000000000100001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000\n0000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000100000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000\n000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000001000000000\
000000000000000000000000000000000000\n0000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000000\n00000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000001\n000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000\n0000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000100\
00000000000000000000000000\n00010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000000000000000000000000\n000000000000000000000000000000000\
000000000000000000000000000000000001000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000010001000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000\n00000000000000000000001010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000\n0000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000001000000000000000000000000000000000000000000000000000\n00000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100\n000000000000000000000000000000000000000000000000000000000000000000000\
000100001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000010010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000\n00000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000000001000000000000000000000000\n000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000\n0\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000100000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000\n000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000001000000000000000\n00000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000100000000000000000000000000\
000000000000000000000\n0000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000001000000000000000000\n00000000000000000000000000000000000000\
100000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000\n000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000\n0000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000\n00000000001000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000\n0000000000000000000000000000100\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000010000000000000000000000000000000000\
0\n000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000001000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000001000000000000000000000000000\n00000000000000000000000000100000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100001000000\
000000000000000000000000000000000000000000000000000000000000000000000\n0000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00100000\n00000000000000000000000000000000000000000000000000000000000000000000\
100000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000\n000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000\n0000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000000000000000000000\n00000000000000000\
000000000000010000000000000000001000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010\n0000000000000000000000000000000000000000000000001000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000001000000000000000000","Z2" : "1000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n01000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000\n001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000\n00001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000\n0000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000\n000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000\n00000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000\n0000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000\n000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000\n00000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000\n0000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000\n000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000\n00000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000\n0000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000\n000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000\n00000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000\n0000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000\n000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000\n00000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000\n0000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000\n000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000\n00000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000011000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000\n0000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000\n000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000\n00000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000\n0000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000\n000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000\n00000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000\n0000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0\n000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000100000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000100000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
10000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000010000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000100000000000000000010000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000010000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000000000000010000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000010000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000010000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000001000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000010000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000100000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000010\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000100000100000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000010000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000010000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000100000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000100000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000010\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000000000000000001000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000010000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000100000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000001\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000100000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000100000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000100000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000001000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000100\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000001000000000000000000000000000000000000000000000000000000\
\n0000010000000000000000000000000000000100000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000001000000000000000000000000000000000000000000000000010000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000100000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n1000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0010000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0001000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000100000000000000100000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000001000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000001000000000000000000000000000000000000010000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000010000000000000000000000000000000000010000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000100000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000100000000000000000000000000\
000000001000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000010000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000001000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000100000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000000000000000000000000000001000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000010000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000000000000000000000000000000000000000000000001000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000010000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000010000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000010000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000000000000000001000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000010000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000000000000000000000001000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000010\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000010000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000010000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000001000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000100000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000010000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000000000000000000000000000000000000000000000000000000001000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000100000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000010000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000001000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000010000000000000000000000\
\n0000000000000000100000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000010000000000\
\n0000000000000100000001000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000001000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000001000000000000000000000000000000010000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000001\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000001000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000100000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000001000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000100000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000010000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000001000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000001000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000100000000001000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000100000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000100000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000100000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000000000000000000000000000000001000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000001000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000001000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000001000001000000000000000000\
\n0000000000000000000000000010000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000100100000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000010000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000010000000100000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000100000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000010000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000000010000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000010000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000100000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000001000000000010000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000010000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000100000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000100000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000010000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000100000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000001000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000100100000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000100000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000000010000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000010000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000001000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000100000000001000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000001000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000100000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000010000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000100000000000000000001000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000010000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000001000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000000000000000010000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000010000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000001000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000000000000000000001000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000100000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000001000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000001000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
100000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000000000000000000000001000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000001000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000001000001000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000010000000000000000000000100000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000100000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
100000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000010000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000100000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010010000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000100000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000100010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
001010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000010000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000001000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010000000000100000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000010000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000000000001000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000010000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000010000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000001000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000100000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000100100\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000001000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000100000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000100000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000001000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000001000100000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000001000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000010000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000100000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000100000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000010000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000010000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000001010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000001000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000010000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000100000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000100000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000001000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000100\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000100\
000000010000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000010000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000100000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000100010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000010000000001000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000010000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000010000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000010000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000100000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000001000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000010000000010000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000010000100000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000100000000000000000000001\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000001000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000100000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000001000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000100000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000001000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000010000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000010000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001100000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000100000000100000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000001000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000100100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000010000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000010000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000010000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000001000000000100000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000001000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000001000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000010\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000010000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000100000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000010000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00000000000000000000000001000000000000000000000100000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000010000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000000000000100000000000000000000000000000000000000000000000000100000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000100000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000010000\
001000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000010100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
100000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000100000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000000000000000000000100000000001000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000001000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000100000000000000000000000000000000000000000000000000010100000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000001000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000100000000000000000000010000000000000000001\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000010000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001100000000010000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000100000000000000100000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000010000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000000"\
,"index" : 3420}
{"Z1" : "100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000\n0000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000\n10000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000000000000\n100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000\n0000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000000\n00000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0\n000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000100000000\n0000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000001000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000001000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000000000000000000000000010000000000000000000000000000000\n\
000000000100000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000100000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n10000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000010000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000000000000000000000000001000000000000000000\n00000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000100000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000001000000000000000000\n1000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000010000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000001000000000000000000\n0000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000100000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000010\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000\n0000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000\n0000000000000000000000000000000000000000000001000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000001000000000000000000\n0000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000\n11000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000001\n0000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010\n000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000\n0000000000000000000000000000\
000000000000000000000000000000000000000000010000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000001000000000\n00000000000001000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000\n0000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000000000000000000000\n000000100100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000010000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
001000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000000000000000000000100000\n00\
000000010000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000001000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000000000000000000000010000000000000\n000000\
000100000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000001000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000\n0010000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000100000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000100000000000000000000\n0000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000\n00000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000100000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000\n000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000\n0000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000\n100000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000100000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000001000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000010000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
100000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000100000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n10\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000000000000000\n000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000\n0000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000010\n000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000010000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000001000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000\n0000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000100000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000100000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000011000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000100000000\
0000000000000000000000000000000000000000000000000000000000\n000000001000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000010000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000100000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000001000\n0000000000000000000000\
001000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n10000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000100000000000000000000000000\
000000000000\n0000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000011\n000000000000000000000010000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000\n00000000000000000001000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
001000\n0000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
001000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000100000000000000000000000\n0000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000001000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000100000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000101000000000000000000000\n00000000000000000000000000000000100000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000100000000000000000000000001\n00\
000000000000000000000000000000001000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100\n0000\
000000000000000001000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000000000000000000000000010000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000\n0000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000001000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000000000000001000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000010\n0000010000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000100000000000000000000000000000000000000\
0000000000000000000000\n000000000000000010000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
100000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000001000\n0000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000\n10000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000100000000000000\
000000000000\n0000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000\n00000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000\n0000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000100000000\n000000000000000000100000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0100000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000\n000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000001000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000000000000000000000000000000000001000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000001000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000001\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000001000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000\n00010000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000010000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000100000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000100000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000010000000000000000000000001000\n000000000000000000\
000000000000000000000001000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000100000000000\n000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001010000000000\
0000000000\n000000000000010000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000001000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n01000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n010000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000\n001000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000001000\
00\n00000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000010000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000100000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100\n0000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000000000000000000000000000000000\n00\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000\n00000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001000000000000000000000000\n000000\
000000000000000000000000000000000000010000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000010000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000\n001000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000100000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000\n0000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000001000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000\n0000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000\n00000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000100\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000000000000000010000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000\n00000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000100000000000000000000\n000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000\n0000000000000000000000000001000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000\n000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00100000\n00000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000000010000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000010000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
\n0000000000000000000000000000000000000000000000000001000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000000000000000000000000000000000000000100000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010100000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000010000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000010100000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000\n0000000000000000000000001000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0100000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000010000000000000000000000000000000000000000000\n000001000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000100000000000000000000000000000\n00000000000001\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0010000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000100000\n000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00001000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000\n0000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001001000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000100000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000100000000000000\
00000000\n00000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000001000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00010000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000010000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000001000000000000\n000000000000000000000010000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000010000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000\n01000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000000000010000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
1000000000000000000000000000\n000000000000000000000000000000000100000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001000000\n00000100000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000\n0000100001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000\n000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00000000000000000010000000000000000000000000000000000000\n00100000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000100000\n0000000000000000000000\
000000000000000000001000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000001000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010001000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000000010000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000\n0000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000001000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000100000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00000000000000000000000000000000001000\n00000000000000000000000000000010000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000010000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000\n000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000\n0000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000001\n000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000100\n0000000000\
000000000001000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000001000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000\n0000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000001000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000010000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001001000000000000000000000000000000000\n000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000000000000000000000\n00000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
010000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000010000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000011000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000100000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000\n0000000000000000000000000010000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000\n0000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001010000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
001010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000010000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000000001000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000001000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000\n0000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000000000000000000000000000000000\n00000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000000000\n010000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000001000000000000000000000010000000000\n000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000010000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000\n00000100000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000010000000000000000000000000000000000000000000\
000000000000000000\n0000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000010\n00000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000\n0000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000001000000000000000000000\n00000000000000000000000000\
000000100000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000010000\n000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0100\n000000000000000000000100000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000010000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00000000001000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
0000000000000000000100000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000010000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000001000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000000000000\n000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000\n0000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000100000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000100000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000100000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000\n0000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000\n000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000010000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000100000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000010000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000100000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
010000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00001000000000000000000000000000000000000000000000\n00000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000001000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000100000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000010000000000000000000000000000000000000000\n000000000100000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000100000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000001000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000100000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000100010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000100000000000000000000\n\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000\n0000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n01\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000001001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000100000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000100000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000010000000000000\n000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000\n0000000000\
000000000000000010000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
0000000000000000000000000000000000000000000000000100000000000000\n000000010000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000000000001000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000\n000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010\n0000000000000000\
000001000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000100000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000001000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000010000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000\n0000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000001000000000\
0000000000\n000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000\n0000001000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00010000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000010000000\
000000\n0000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000000000000\n00000000100000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000\n000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000001000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000\n0000100000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
1000000000000000000000000000000000\n000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000\n0000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000110000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000001000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000001000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000000000000000000000000000\n000000000000\
100000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000001\n00000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000000000000000\n000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000\n0000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000\n00000000000000000000010000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000001000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000100000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000\n0000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000100000000000000000000000000000000000000000\n000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000100000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000100000000000000000\
0000000000\n000010000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000\n000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000000001000000\n00000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000\n000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000101000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000110000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000100000000\
\n0000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000000000\n01000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000000000000000000000000000\n\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000000001000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010100000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000\n0000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000100000000000000000000000000\n000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000010000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000010000000000\n0010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000010000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000010\n0000000000000000000100001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00010100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000100000\n0001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000010000000000000000000000000000000000000000000000\n000000000000000000\
000000001000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000100010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000\n000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000100000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000001000000000000000000000000000\n00000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000001000\
00000000\n00100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000\n0000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000\n0000000000000000000000000000100000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
\n0000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000\n00000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000001000000000\n\
000000000000000000000000000000000000000000010000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000010001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000001000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000000000000000000000100000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000010000000000000000000000000000000000000000000000000000000000000\n00000010\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000100000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000001000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000\n0000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000100\n0000000000000000\
001000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000100000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000\n0000000000100000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000010000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000\n0000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000010000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000\n0000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000001000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000001000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000100000000000\n010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000001000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000100000000000100000000000\n00\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000100\n000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000\n0000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000\n00000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000010000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000010000000\n000000000000000000001000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000000000000000000000\n00000000000000001000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000010000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100100000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000100\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000001000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000000\n00000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000010000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000100000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000\n000001000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000001000000000000000000000\
00000000\n00010000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000001000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000100000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0100\n000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000100000\
00\n00000000000000100000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000011000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000001000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000001\n00\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000\n0000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000001000000000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100\n0000000000000010000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000\n000000000000000001000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000010000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000100000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000001000000000000000000000000000000000000000\n00000000000000\
000000010001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000010000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000010000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000010000000000000000000\n0000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000000010000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000001000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000001000000000\
0000000000\n000000000000000000000000010000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000001000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000000000\n000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000\n0000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000100000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000001000000\
000000000000000000000000000000000000000000\n0000000000000000000000100000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
1000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000100000000000000000000010000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001001000000000000000000000000000000000000000000000000000\n0000\
000000000000000000100000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000000010000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000\n0000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000001000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000\n00000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000100000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000100000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000\n0000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000\n00000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000100000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000\n0000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000100000000000\n000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000\n0000000000000000000000\
000000010000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000010000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000100000000000000000000000000000000000000000\n00000000000000000000000000\
000000000001000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000\n0000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000\n00000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000100000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000001000000000000000000000000000000\n00000000000010000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000100000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000100000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001010000000000000000000000000000\n\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000\n0000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000000000000000000000000000\n00\
000000000100010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000010000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000000000000\n000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000\n0000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000001000000000000000000000000000000000000000000000000\n000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000\n0000000000000100000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000010000000000000000000000000\
0000000000000000000000\n000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000010000000000000000000\
00000000000000000000\n00000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000001000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000100000000\
00000000000000\n00000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000100000000000000\n00000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000001000000\n0000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000100000000000000000000000000000000000\n000000000000000000000000000000\
000000000000010000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000100000\
00000000000000000000000000000000000000000000\n00000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000001000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000001000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000010000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000100010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000010000000000000000\n00000000000000000100000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000010000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000100000000000000000000100000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010\n0000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0100000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00001000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000010000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000\n000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000\n0001000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000010000000000000000000000000\n000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000100000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000010\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000100000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000010000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000100100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000001000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000010000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000100000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000000000000000000000000000000000\n\
000000100000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000000000100000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000\n000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000001000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
001000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000\n000110000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000\n0000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000100000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000000000000\n000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000\n0000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000000000000000\n00000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000\n0000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000001000000\n000000000000000000000000\
000010000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000100000000000000000000000000000000000000000\n00000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000100000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000010000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000100\n000000000000000000000000000000\
000000000000000000100000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000\n0000000000001000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000100000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000010000000\
\n0000000000000000000000000000000000100000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000001000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000100000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000010000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000010000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00000010000000000000000000000000\n00000000000000000000001000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
001000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000100000000000000000000000\n0000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000010000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000100000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000\n00000001000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000\n000000000000000000001000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000100000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000\n000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000\n0000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000000010\n000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000001000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000\n000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000001000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000100000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000001000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000010000000000000000000000000000000000000000000\n0000\
000000000000000000000000000010000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000100000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000001000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000010000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000001000000000000\n000000000000000100000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000000000000000000000000000000000000000000000000001000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000100000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000010000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000001000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000010000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000100001000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000\n0000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000010000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000\n0000000000000010000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000001010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000010001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000001000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000001000000000000000\n000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
\n0000000010000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000001000000000000000000000000\n0000000010000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000100000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000010000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000001000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000010000000000000\n000000\
000000000000000000000000010000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000000000000000\n00000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000100000000\
00000000000000000000\n00000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000001010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000010000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000\n0000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000000000000000\n000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000001000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0001000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000001000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000000000000000000000\n00000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000010000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000010000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000010000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000001000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00100000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000001000000000000000\n000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000\n00000000100000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000001\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0100000000000000001000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000\n0000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000\n00000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000001000000000\n000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000100\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000","Z2" : "100000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
011000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000001000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000100000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000000000100000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000010000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000100\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000001000000000000000\n000000\
000000000000000000000000000000000000000000000010000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000100000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000010000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000001000000000100000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000001000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000010000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000001000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n001000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000001\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000001000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000001\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000010000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000100\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000001000000000000000000000000000\n010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001001010000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000010000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000\n0000010000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000010000000000000000000000000000000000000000000\n000000\
000000000000000000000010000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000010000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000100\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000\n0000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000010000000000000000000000000010000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000100000000000000000000000000000000000000\n000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000100000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000100000000000000000000000000000000001000\n00000000000000000001000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000100\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000010000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000000000000000000000100000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000001000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000001000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000010000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000001000000000000000\n00000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000001000000000000000000000000000000000000000000000000000000000000000011\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000001000000000000000000000000010000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000001000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000100001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000100000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000001000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000010000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000010\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000001000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000001000000000000000000000\n000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000001000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000000000000010000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000001000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000100000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000010010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000100000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001010000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
0000001000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000000000000000000000000001000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000\n0000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000100010000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000001000000000000000000000000000000000010000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000001000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000001000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000000000000000000\n00000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000001000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000010000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000001000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000010000000000000001000000000000000010000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000100000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000000000\n00000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000011000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000001000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000100000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000000000000000000000000000000000000000000000\n000000\
010000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000100000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000001000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000100000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000\n0000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n1000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
01000000000000000000000001000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000010\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000001000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000001\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000001000000000000000000000000000\
0000000000000000000000000100000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000100000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000000000000\n00000000000000000000000000000000\
010000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001000000000000000000000\n000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000110000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000010000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000001000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000010000000000000000000\n000000\
000000000000010000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000001000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000010000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
010000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100001000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000100000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100100000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000100000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100001000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000001000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000\n0011000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000100001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n010000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000001000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000001000000000000000000000000000000000000000000000000000010\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000010000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000","index" : 3840}
{"Z1" : "100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000\n0100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000000\n00100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000000000000000000000000000000000000000000\n000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000\n0000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000100000000000000000000\n00000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000000000000000000\n000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000\n0000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000000000\n00000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000000\n000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001\n0000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00000000000000000000000\n00000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000100000000000000000000000000000000000000000000000000000000\n000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000\n0000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000010000000000\
\n0000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000\n00000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000\n000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000\n0000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000\n00000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000000000000000000000000000000000\n000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000\n0000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100\n000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000\n0000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010\n00000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000000000000000000000000000000000000000\n000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000\n0000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00\n00000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000\n000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000\n0000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000010000\n00000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000\n000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000\n0000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
00000000000000000000000000000000\n00000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000000000000000000000000000\n\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000\n0000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000100000000000000000000000000000000\n000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000\n0000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000100000000000000000000000000\n00000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000001000000\n000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000\n0000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000000000000000000000\n00000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000\n0000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000010000000000000\n00000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000010000000\n000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
\n0000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000\n010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000\n1000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000\n00010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000000000000000000000000000000000000000000000\n001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000\n0000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000000000000000000000000000\n00\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000000000000000\n00000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000\n000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000\n0000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000001000000000000\n000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000\n0000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000100000000000000\n000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000\n0000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000000000000000000000\n00000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
0000000000000000000000\n000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000\n0000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000001000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000\n0000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000010000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000\n0000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000\n00000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000\n000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000\n00000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000010000000000000000000000000000\n00000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000000000\n000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000000000\n00000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000000000\n000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000\n0000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000\n0000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000001000000000000000\n000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000\n0000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000000000000000000000000000000000000000\n00000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000\n0000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000\n00000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000100000000000000000000000000000000000000000000\n000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000\n0000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01\n00000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000\n0000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000100000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000\n0000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000100000000000000\n\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000\n0000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00000000\n00000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000000000000000000000\n000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000100000\n00000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000\n0000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
0000\n000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000\n0000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000\n00000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000\n0000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000010000000000\n00000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
\n0100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000000000000000000000\n00010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000\n0000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000\n00000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000010000000000000000\n000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000\n0000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000100000000000000000\n00\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000\n0000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000100000000\n00000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000\n000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000\n0000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000000000000000\n00000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000010000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000\n0000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00\n00000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000\n0000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000000\n00000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000\n000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000\n0000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000001000000000000000000000000000000000000\n\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000\n0000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000\n00000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000\n0000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000\n000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000\n0000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000001000000\n00000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000\n000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010\n00010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000\n0000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000100000000000000000000000000000000000\n00000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000000000000000\n001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
\n1000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000100000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000\n0000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000100000000\n000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000\n0000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000001000000000000000000000000000000000000000000000\n00\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000\n0000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
0000000000000000\n000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000\n0000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
00000000000000000000000000\n00000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000100000000000000000000000000000000000000000000000000\n000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
00\n00000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000100\n000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000\n0000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000\n00000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000100000000000000000000000000000000000\n\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000\n10000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000\n0000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000\n0000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000000000000\n00000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000\n0000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000\n00000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000001000000\n000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000\n0000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000001000000000000000000\n00000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000\n000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000100000000\n00000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100\n000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000\n0000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000\n00000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000001000000000000000000000\n000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000001\n00\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000\n0100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000\n00000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000\n0000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000\n00000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000001000\n000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00\n00000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000\n0000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000001000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000\n0000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000\n00000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000010\n000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000000000000000000000000000\n00000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000\n000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000\n0000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000000000\n00000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000\n000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000\n0000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000\n00000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000000000000000000000000000000000\n000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001\n0000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000100000\n000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
\n0000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000\n0000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000\n00000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000001000000000000000000000000\n000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000\n0000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000100000000\n00\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000000000000000000\n000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000\n0000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000000000\n000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000\n0000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000\n00000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000010000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000\n0010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00\n10000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000100000\n000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000\n0000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000\n0000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000001000000000\n00000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000\n0000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000\n00000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000001000000000000000000000000000\n000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000\n0000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000100\n00000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000\n000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000\n0000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000010000\n00000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000\n000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000\n0000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
00000000000000\n00000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000010000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000\n0001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000010\n00000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
\n0000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000\n0000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000100000000000\n00000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000001000000000000000000000000000000000000000000000000000\n000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001\n0000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000100000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000\n0000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000000000000000\n00000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000\n001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000\n0000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000100000000000000000000000000000000\n000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00\n00000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000000000000000000000000000\n000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000\n0000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000100000000000000000000000000000000000000000\n00000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000010\n000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000\n00000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000\n0000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000\n00000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000\n0000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000\n000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000\n0000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000\n0100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000\n00000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000\n0000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000100\n00000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000\n000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000\n0000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
00000000000000000000\n10000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000001\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
100000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000001000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000100000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000100000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000100000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000100000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000100000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000010000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
010000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000010000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000010000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000010000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000100000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000001000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000001000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n1000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000010000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000010000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000100000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000001000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000100000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000100000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000010000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000010000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000100000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00010000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000010000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000001\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000100000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000001000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000001000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000010000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000010000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000001000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000010000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000001000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000100000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000100000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000001000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000010000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000010000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000100000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000100\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000001000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000100000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000001000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000000000000000000000000000000000\n01000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000010000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n1000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000010000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000001000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000001000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0100000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000010000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000\n0010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000001000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000001000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000010000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000100000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000100000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000010000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n10000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000\n0010000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000100000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000010000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000010000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000010000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000001000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000001000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000001000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000001000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000010000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000001000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000001000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000001000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000010\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000001000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000010000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000001000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000010000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000010000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000010000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000100000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000100000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000001000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n10000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000010000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
010000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000\n0100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000010000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000001000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000010000000000000000000000100000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000100000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000\n0010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000100000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000010000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000001000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000100000000000100000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000001000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000100\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000000000000000\n000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000100000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000100000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
01000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000010000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000010000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
0000100000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000010000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000001000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000010000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000010000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000100000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000000000000000000000000001000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000010\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000001000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000010000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000100000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000010000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000000000000000000000000100000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000100000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000001000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000010000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
00000000000000000001000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
0000000000000000000000000000000000000000000100000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000001000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000100000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
0000000000010000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000010000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000010000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000001000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000100000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000010000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00000000000000001000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000000000000001000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000000000000000000000000000100000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000010000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000010000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000010000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000100000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000001000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000000000000000000000001000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000001000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000010000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000001000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000100000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000100000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000001000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000001000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000010000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
0000000000100000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000010000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000010000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000100\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000000000100000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000001000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000100000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000001000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000100000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000001000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000001\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000001000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0001000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
00010000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000010\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000001000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000001000000000000000000000000000001000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000010000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000010000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
00000000000000000000001000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000010000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000010000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000100000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000001000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000100000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000100000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000001000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000100000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000010000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
00000000000000000000000000000000000000001000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000000000000000000000000000001000\n00000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
0000000000010000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
00100000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000100000\n000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000010000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
0000000100000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000001000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000010000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000100000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000100000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000001000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000010000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000001\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
0000000000000000000000000000000000000010000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000100000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
00000000100000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
0000000000100000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000100000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
00000000000000000000000000001000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000100000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
00000100000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000001000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
01000000000000000000000000000000000000000000000000000001000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000100000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000001000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000010000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000010000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
0000000100000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000010000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000001\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
0000000000000000000000000010000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000000000000000000000000000001000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000001\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000010000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000001000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0001000000000000000000000000000000010000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000010000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000010000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000010000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000000100000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0001\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000100000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000010000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000000000000000000000000001000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00000000000000000001000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
0000000000000010000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
\n0000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000010000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000010000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000100000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000000000000000000000000100000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000000000000000001000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000010\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000\n0000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
0000100000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000100000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000\n000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000100000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000001000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000010000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
10000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000010000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000100000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000001000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000001000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000010000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000100000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000001000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000001000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000001000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000100000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000000010000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000001000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010001000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000100000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000100000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000000000000000000010000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000010000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000001000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000000000000000000000000000000000000000001000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000100\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000001000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000100000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
0000000000000000000000000000001000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000010000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000000010000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000100000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000100000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000100000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000010000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000100\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000001000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000010000000000000000000000000000000000000","Z2" : "100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000\n0000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000001000000000\n000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000\n0000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000\n0000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
00000000000000000000000000\n00000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
0000\n000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000\n00000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000\n0000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000\n0000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000001000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000100000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000001000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
0000000000000000000000\n000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000100\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n10000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000100000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0100000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000010000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000100000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000100000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
00000000000000000000\n01000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000001000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000010000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000001000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000\n0000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000100000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000100000000000000000000000000000000000000000\n000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000001000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000100000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0100000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00001000000000000000000000000000\n00000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000010000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
0000000000\n000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000010\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000001000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000001000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000100\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000100000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000010000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000001000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000001000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000100000000\n00000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000001000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000010000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000010000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000001000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000100000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000001000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000100000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000\n0000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000100000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000001000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000001000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000001000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000010000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000100000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000100000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000010000000000000000000000000\n00000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000001000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000010000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0010000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000100000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000001000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000001000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000010000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000100000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000010000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000100000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000001000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000001000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000010000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000100000000000000000000000000000000\n0000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
10000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000100\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000100000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000\n000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000\n0000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000000000000000\n00\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000100000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000\n000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000001000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000\n0000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000\n00000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000010000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\n000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000\n0000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000100000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000\n00000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000100000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000000000\n\
000000000000000000000000000000000010000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000\n0000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00010000000000000000000000000000\n00000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000100000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000\n000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000010000000000000000000000000000001000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000\n0000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000010000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000\n00000000000000000000000000000000\
000000010000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000\n000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000010000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
\n0000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
001000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000001000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
00000000000000000000000000000000000000000000000000000000\n00000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000100000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000\n000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000\n0000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000010000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000100000000000000000000000\n00000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000001000000000000000000000000000\n000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000100000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000\n0000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000100000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00\n00000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000001000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000001000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000\n000000000000000000\
000000000000000000000000000000000000000000000000000001000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000001000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000\n0000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000010000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000001000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000\n00000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000010\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000010000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000000000\n000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000010000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000\n0000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000010000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000010000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000010000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000\n00000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
100000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000100000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000\n000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000001000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000010000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000100000000000\n0000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000001\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000001000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000001000000000000000000000000000000000000000000\
00000000000000000000000000000000000000\n00000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000100000000000000000000000000\
0000000000000000\n000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000010000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000100000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000010000\n0000\
000001000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000001000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000010000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000\n00000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000001000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000001000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000010000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000\n000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000001000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000100000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000100000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000\n0000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000010000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000100000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
010000000000000000000000000000000000000000000000000000000000000000000000000000\
00000000000000000000000000000000000000000000000000000000000000\n00000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000010000\
000000000000000000000000000000000000001000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000010000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
000000000000000000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000","index" : 3960}