⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⢀⣀⠤⠀⠀⠀⠀⠀⡤⠤⠤⠤⠤⠤⠤⠤⠤⠤⣄⠀⠀⠀⠀⠀⠠⠄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠘⣦⣀⣀⣠⣤⣤⣄⡀⢖⣩⣥⣶⣴⢋⢀⡎⡐⢤⡀⠀⠀⡏⠸⠽⠿⠟⡿⠿⠿⠿⠇⣿⠀⠀⢀⡤⢚⡜⣆⢌⢣⡶⣮⣭⣑⠂⢀⣤⣤⣤⣀⣀⣂⡼⠃
⠀⠀⠉⠉⠉⢁⡉⣉⣻⣼⡽⢋⣜⠡⠼⢊⣼⣿⣷⡝⢦⠠⢉⡉⠉⠉⢉⣉⡉⠉⠉⣉⢩⠊⡠⢩⣾⣿⣿⣌⠺⢭⣿⣈⠻⣾⣯⣟⣉⢉⡉⠉⠉⠉⠀⠀
⠀⠀⠀⠀⠀⢨⣾⠟⡛⢠⣇⡹⢁⡀⢴⣿⣿⡟⣿⣿⡎⠂⢸⡇⣿⠻⡵⠵⡩⠻⣿⢸⠀⡘⠀⡀⠙⣿⣏⣩⣷⢆⣄⠾⠁⣼⠘⢛⠿⢷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣨⣵⠏⣻⡿⠢⡹⣆⢻⣿⣤⡸⣿⣿⠀⢸⠃⣇⢽⡐⠛⣸⢅⣿⣿⠀⠁⣾⡟⢁⡎⢻⣿⢣⡿⠁⣴⣿⡋⠷⣭⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣾⡿⠶⢞⣥⣴⠶⠃⣽⡄⣿⣿⡎⣹⣿⡄⢸⣇⣿⣶⣜⣜⣠⣾⣟⣿⠀⠸⢿⡗⡨⢁⡆⢩⣿⠀⣿⣤⣤⡙⠳⠶⠿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠠⠻⠸⠿⢇⡄⣨⡇⠀⣿⠃⣿⣿⣿⣽⢟⡥⢊⢭⣉⠉⠉⡉⣉⡍⢉⡉⢒⡶⣌⡙⢧⡘⣇⠈⣿⠀⠩⣟⠁⣨⣿⠿⠐⠷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠀⢀⠏⣴⣿⣿⠟⡵⢃⠴⡞⢞⡿⣷⣄⠈⠙⢋⣾⣣⢦⡟⣦⡙⣦⠙⢿⡆⡹⣇⠀⠘⡇⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⡿⠁⡾⠁⢦⣼⣿⢼⣹⠿⣻⣷⣄⠐⠳⢣⠞⠀⠟⠩⠞⣧⠘⣿⢻⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⡀⢀⡀⠀⠀⠸⠿⠟⢁⣘⣃⣠⣤⣀⣒⢬⠻⣧⣷⣱⢻⣷⣤⣤⠤⣒⣦⣤⣄⣘⣀⡀⠘⠙⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢻⡙⢻⣭⣿⣿⣿⣷⣶⠾⠭⢝⣛⣹⣿⣿⡿⠃⡡⢹⣻⡿⣾⣿⡏⡎⢾⣿⣿⣿⣟⣛⡫⠭⣷⣶⣿⣿⣿⣿⣽⡟⠃⡿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⠇⢮⠁⠛⠙⢉⡻⠂⠐⠉⠍⠉⣉⣉⣀⣀⣒⣳⢘⣿⣿⣿⣿⣱⠟⡂⢀⣉⣉⡉⠉⠉⠙⠂⠾⡋⠙⠛⠛⠙⠁⠇⠟⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣹⣉⠏⠽⠹⠎⠶⠡⠎⠼⠹⢏⢏⣯⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠘⣠⣾⣿⢸⢸⠇⡇⡇⡇⡆⡆⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣠⣾⡏⡏⣿⢸⢸⠀⡇⡇⡇⡇⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣏⡇⡇⣿⢸⢸⠀⡇⡇⡇⡇⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⡇⣿⢸⢸⠀⡇⡇⡇⡇⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣛⣛⣓⣓⣛⣸⣸⣒⣇⣇⣇⣃⣃⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣦⠤⠤⠶⠦⠤⠤⠤⠤⠤⢤⣤⣤⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
