⡀⡀⡀⡀⡀⡀⡀⡀⡀⣀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⣸⠛⠻⣿⣷⡀⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⣿⣿⣷⣿⣿⢠⡀⡀⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⡀⣸⠘⣬⣻⡵⢪⠄⣆⡀⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⡀⣰⠋⠿⠿⢷⣶⡿⠿⠟⡄⡀⡀⡀⡀⡀⡀
⡀⡀⡀⡀⢠⠏⡸⡫⡜⢪⡕⢕⡸⢮⠹⡀⡀⡀⡀⡀⡀
⡀⡀⡀⢀⣿⢬⢮⡎⢱⡎⢸⣕⡳⢪⣆⠿⣄⡀⡀⡀⡀
⡀⡀⢠⣿⢰⢵⣗⡺⡳⡪⡕⣪⡮⣝⣝⡇⠈⢿⡀⡀⡀
⡀⣠⣿⠋⢸⣺⡮⢽⣗⣺⢯⡹⢽⣝⢳⢸⣦⡀⠻⡀⡀
⠐⠟⡀⡀⠘⡺⡵⡳⢼⢧⡱⣹⢙⢮⢙⣻⣿⣿⡀⠙⡀
⡀⡀⡀⡀⡀⣷⡪⣪⣝⣝⣕⡦⣛⢿⣎⣿⣿⣿⣿⣦⡀
⡀⡀⡀⡀⡀⣿⣎⣳⣾⣿⢮⣞⣟⢯⢸⣿⣿⣿⣿⣿⡄
⡀⡀⡀⡀⡀⣿⣿⡿⣾⣯⣿⣿⣿⣾⢸⣿⣿⣿⣿⣿⣿