⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$4⢀⣠⡤⠴⠒⠚⠛⠉⠉⠓⠒⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀$4⣀⡴⠚⠉⠀⠀⠀$1⠠⣀⢤⣄⢐⣶⣦⣄⠀$4⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
$4⠄⢠⠀⡀⢀⢠⠞⠁⠀⠀⠀⠀$1⠈⠝⠛⢿⣿⣿⣿⣿⣿⣿⣷⣤⡄⠀$4⠉⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀$4⢠⢺⡵⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$1⠙⢿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠐⡌$4⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀$4⣾⠸⡀⢸⠀⠀⠀⠀⠀$3⢀⣤⣴⠖⠢⠀⠀⠀$1⠙⢿⣿⣿⣿⣿⣿⣿⣷⣷⣷⠀$4⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀$4⣿⣄⢡⢹⠧⡀⠀⠀⠀$3⠞⠛⢿⣦⡀⠀⠀⠀⠀⠀$1⠙⠻⢿⣿⣿⣿⡿⠋⠀⠀⠀$4⢿⠄⠀⠀⠀⠀⠀⠀⠀
$4⣦⣼⣿⣦⣿⣷⣌⠀⠀⠀⠀⠀$3⠸$2⢛$3⣿⣄⠀⠀⠀⠀⠀⠀⠀$1⠈⠉⠁⠀⠀⠀$3⢀⣀⣀$4⣑⡢⠀⠀⠀⠀⠀⠀
$4⣿⡿⠿⠛⠛⣻⢟⣿⣶⠀⠀⠀⠀$3⣿$2⡜⠻$3⡷$2⣶$3⡲⣦⣀⠀⠀⠀⢀⣠⣴⣾⣿⢿⡻$1⡻⣯⢡⠀⠀⠀⠀⠀⠀
$4⠉⠑⠂⠐⠚⢁⠼⠿⣿⠀⠀⠀⠀$3⡿$2⡇⢠⣤⠟$1⠻$3⠟⡿⣻⢛⢿⢻⡟$1⢹$3⡱$1⣿⡆⡇⢁⡈⣷⣗⠀⠀⠀⠀⠀
$4⢐⡀⠐⣶⡶⠖⠒⠺⡟⡄⠃⠀⠀$3⢷$2⣧⢸⠎⡆⣰⡯$1⣀⠇⠌$2⣨⣧$3⣷⣦⠹⣯$1⣿⡟$3⠈$1⠉⠛⠋⠁⠀⠀⠀⠀
$4⣉⣠⠖⣫⣶⣿⠟⠫⢳⠐⠘⡀⠀$3⠈⣿$2⡿⣴⣷⢿⣳⣗⡾⣰⢏$3⢿⠿⢿$2⢻⣿$3⣾$2⢷$3⣦⣄⡀⠀⠀⠀⠀⠀⠀
$4⠁⣠⣾⡟⠋⢀⠔⠀⠀⢣⠈⠓⠄⠀$2⠘⡷⣿⡏⠸⠛⢻⣳⡏$3⠔⠒⠒⢂$2⣿⡿⠿⢚$3⣾$2⣿⣿⣿⣲⢄⠀⠀⠀
⠀$4⡛⠋⠐⡒⠓⠦⠤⠤⠄⠓⠀⠀$2⣠⡾⠃⢹⣹⣶⣏⣜⢿⠑$3⠖⢻⣫⣯⣷⣦⣌⡢⠙⢿⣿⣿⣿⣿⣦⠀⠀
⠀⠀$4⡠⠊⠀⠀⠀⠀⠀⠀⠀$2⠁⠸⠋⠀⠐⢻⣿⢿⢿⣿⣾⣿⣾⢃$3⠛⢹⡟⣿⣿⣿⣦⡀⢿⣿⣿⣿⣿⡆⠀
$4⠔⠈⠉⠀⠒⠒⠉⠁⠀$2⡀$1⣀$2⣀⡠⠚⠉⠙⠛⢻⣾⣦⣿⡟⢿⣷$1⣇⣴⠋$3⠠⠋⠞⣿⣿⣷⢸⣿⡟⣿⣿⣿$2⣄
⠀⠀⠀⠀⠀$2⢀⡤⠂⠁⠀⠈⠉⠀⠀⠀⠀⠀$1⣼⣿$2⠉⠑⠤⠐⣮⣿$1⣮⣴⣁⢄⠼$3⠙⠻⡿⣾⣿⢹⣿⣿$2⣻⠟
⠀⠀$2⢀⡠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣹⣷⣿⡌$3⠋⠉⠀⠀⠀⠀⣿⡿⠁⠡⣿$2⡕⠁⠀
$2⣴⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠸$1⢿$2⡇⠀⢳⠦⠜⠀⢠⡶⣿⢿⡿⡿⣿⠟⠀⠀⠀
$2⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠈⠀⠀⢴⠋⣴⡷$3⠋⠀⠉$2⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$3⢰⣼⣿$2⠇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$3⣸⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$3⠘⠻⢿⣿⠷⠂⠀⠀⠀⠀⠀⠀
