⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣿⣿⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀
⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀
⠀⠀⣠⣿⠟⠛⠉⠉⠉⣿⣿⣿⣿⠋⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀
⠀⣰⣿⠁⠀⠀⠀⠀⣼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣠⣤⠀⣤⣄
⣠⣿⠃⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢾⣿⣿⣷⣤⣿
⣿⣿⡆⠀⠀⠀⠀⣼⣿⣿⣿⠁⠀⣠⣤⣤⣄⠀⠀⢻⣿⣿⡟⠁
⣿⣿⣿⣶⣄⠀⠀⣿⣿⣿⡟⠀⣴⣿⣿⣿⣿⡆⠀⠹⣿⣿⡇⠀
⠙⣿⣿⠋⠀⠀⠀⣿⣿⣿⠀⠀⣿⣿⠀⣾⣿⠃⠀⣸⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⣿⣿⣠⣿⠟⠀⠀⣿⣿⠏⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣄⠀⠙⣿⣿⡋⠀⣠⣾⣿⡟⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⠟⠿⣿⣿⣿⡿

⣠⣤⣤⡤⠤⢤⣤⣀⡀⠀⠐⠒⡄⠀⡠⠒⠀⠀⢀⣀⣤⠤⠤⣤⣤⣤⡄
⠈⠻⣿⡤⠤⡏⠀⠉⠙⠲⣄⠀⢰⢠⠃⢀⡤⠞⠋⠉⠈⢹⠤⢼⣿⠏⠀
⠀⠀⠘⣿⡅⠓⢒⡤⠤⠀⡈⠱⣄⣼⡴⠋⡀⠀⠤⢤⡒⠓⢬⣿⠃⠀⠀
⠀⠀⠀⠹⣿⣯⣐⢷⣀⣀⢤⡥⢾⣿⠷⢥⠤⣀⣀⣞⣢⣽⡿⠃⠀⠀⠀
⠀⠀⠀⠀⠈⢙⣿⠝⠀⢁⠔⡨⡺⡿⡕⢔⠀⡈⠐⠹⣟⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢼⣟⢦⢶⢅⠜⢰⠃⠀⢹⡌⢢⣸⠦⠴⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣿⣇⡬⡌⢀⡟⠀⠀⠀⢷⠀⣧⢧⣵⣿⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢻⠛⠋⠉⠀⠀⠀⠀⠈⠉⠙⢻⡏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀