⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠠⠤⠀⣀⣀⠀
⠀⠀⠀⠀⣀⢤⡒⠉⠁⠀⠒⢂⡀⠀⠀⠀⠈⠉⣒⠤⣀
⠀⠀⣠⠾⠅⠈⠀⠙⠀⠀⠀⠈⠀⠀⢀⣀⣓⡀⠉⠀⠬⠕⢄
⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⢦⡀⠑⠀⠀⠀⠀⠈⢧
⠀⡇⠀⠀⠀⠀⠀⢤⣀⣀⣀⣀⡀⢀⣀⣀⠙⠀⠀⠀⠀⠀⠀⢸⡄
⠀⢹⡀⠀⠀⠀⠀⡜⠁⠀⠀⠙⡴⠁⠀⠀⠱⡄⠀⠀⠀⠀⠀⣸
⠀⠀⠱⢄⡀⠀⢰⣁⣒⣒⣂⣰⣃⣀⣒⣒⣂⢣⠀⠀⠀⢀⡴⠁
⠀⠀⠀⠀⠙⠲⢼⡀⠀⠙⠀⢠⡇⠀⠛⠀⠀⣌⣀⡤⠖⠉⠀
⠀⠀⠀⠀⠀⠀⢸⡗⢄⣀⡠⠊⠈⢦⣀⣀⠔⡏
⠀⠀⠀⠀⠀⠀⠈⡇⠀⢰⠁⠀⠀⠀⢣⠀⠀⣷⠀
⠀⠀⠀⠀⣠⠔⠊⠉⠁⡏⠀⠀⠀⠀⠘⡆⠤⠿⣄⣀⠀
⠀⠀⠀⠀⣧⠸⠒⣚⡩⡇⠀⠀⠀⠀⠀⣏⣙⠒⢴⠈⡇
⠀⠀⠀⠀⠈⠋⠉⠀⠀⢳⡀⠀⠀⠀⣸⠁⠈⠉⠓⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠛⠛

⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠠⠤⠀⣀⣀⠀
⠀⠀⠀⠀⣀⢤⡒⠉⠁⠀⠒⢂⡀⠀⠀⠀⠈⠉⣒⠤⣀
⠀⠀⣠⠾⠅⠈⠀⠙⠀⠀⠀⠈⠀⠀⢀⣀⣓⡀⠉⠀⠬⠕⢄
⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⢦⡀⠑⠀⠀⠀⠀⠈⢧
⠀⡇⠀⠀⠀⠀⠀⢤⣀⣀⣀⣀⡀⢀⣀⣀⠙⠀⠀⠀⠀⠀⠀⢸⡄
⠀⢹⡀⠀⠀⠀⠀⡜⠁⠀⠀⠙⡴⠁⠀⠀⠱⡄⠀⠀⠀⠀⠀⣸
⠀⠀⠱⢄⡀⠀⢰⣁⣒⣒⣂⣰⣃⣀⣒⣒⣂⢣⠀⠀⠀⢀⡴⠁
⠀⠀⠀⠀⠙⠲⢼⡀⠀⠙⠀⢠⡇⠀⠛⠀⠀⣌⣀⡤⠖⠉⠀
⠀⠀⠀⠀⠀⠀⢸⡗⢄⣀⡠⠊⠈⢦⣀⣀⠔⡏
⠀⠀⠀⠀⠀⠀⠈⡇⠀⢰⠁⠀⠀⠀⢣⠀⠀⣷⠀
⠀⠀⠀⠀⣠⠔⠊⠉⠁⡏⠀⠀⠀⠀⠘⡆⠤⠿⣄⣀⠀
⠀⠀⠀⠀⣧⠸⠒⣚⡩⡇⠀⠀⠀⠀⠀⣏⣙⠒⢴⠈⡇
⠀⠀⠀⠀⠈⠋⠉⠀⠀⢳⡀⠀⠀⠀⣸⠁⠈⠉⠓⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠛⠛

⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠠⠤⠀⣀⣀⠀
⠀⠀⠀⠀⣀⢤⡒⠉⠁⠀⠒⢂⡀⠀⠀⠀⠈⠉⣒⠤⣀
⠀⠀⣠⠾⠅⠈⠀⠙⠀⠀⠀⠈⠀⠀⢀⣀⣓⡀⠉⠀⠬⠕⢄
⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⢦⡀⠑⠀⠀⠀⠀⠈⢧
⠀⡇⠀⠀⠀⠀⠀⢤⣀⣀⣀⣀⡀⢀⣀⣀⠙⠀⠀⠀⠀⠀⠀⢸⡄
⠀⢹⡀⠀⠀⠀⠀⡜⠁⠀⠀⠙⡴⠁⠀⠀⠱⡄⠀⠀⠀⠀⠀⣸
⠀⠀⠱⢄⡀⠀⢰⣁⣒⣒⣂⣰⣃⣀⣒⣒⣂⢣⠀⠀⠀⢀⡴⠁
⠀⠀⠀⠀⠙⠲⢼⡀⠀⠙⠀⢠⡇⠀⠛⠀⠀⣌⣀⡤⠖⠉⠀
⠀⠀⠀⠀⠀⠀⢸⡗⢄⣀⡠⠊⠈⢦⣀⣀⠔⡏
⠀⠀⠀⠀⠀⠀⠈⡇⠀⢰⠁⠀⠀⠀⢣⠀⠀⣷⠀
⠀⠀⠀⠀⣠⠔⠊⠉⠁⡏⠀⠀⠀⠀⠘⡆⠤⠿⣄⣀⠀
⠀⠀⠀⠀⣧⠸⠒⣚⡩⡇⠀⠀⠀⠀⠀⣏⣙⠒⢴⠈⡇
⠀⠀⠀⠀⠈⠋⠉⠀⠀⢳⡀⠀⠀⠀⣸⠁⠈⠉⠓⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠛⠛

⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠠⠤⠀⣀⣀⠀
⠀⠀⠀⠀⣀⢤⡒⠉⠁⠀⠒⢂⡀⠀⠀⠀⠈⠉⣒⠤⣀
⠀⠀⣠⠾⠅⠈⠀⠙⠀⠀⠀⠈⠀⠀⢀⣀⣓⡀⠉⠀⠬⠕⢄
⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⢦⡀⠑⠀⠀⠀⠀⠈⢧
⠀⡇⠀⠀⠀⠀⠀⢤⣀⣀⣀⣀⡀⢀⣀⣀⠙⠀⠀⠀⠀⠀⠀⢸⡄
⠀⢹⡀⠀⠀⠀⠀⡜⠁⠀⠀⠙⡴⠁⠀⠀⠱⡄⠀⠀⠀⠀⠀⣸
⠀⠀⠱⢄⡀⠀⢰⣁⣒⣒⣂⣰⣃⣀⣒⣒⣂⢣⠀⠀⠀⢀⡴⠁
⠀⠀⠀⠀⠙⠲⢼⡀⠀⠙⠀⢠⡇⠀⠛⠀⠀⣌⣀⡤⠖⠉⠀
⠀⠀⠀⠀⠀⠀⢸⡗⢄⣀⡠⠊⠈⢦⣀⣀⠔⡏
⠀⠀⠀⠀⠀⠀⠈⡇⠀⢰⠁⠀⠀⠀⢣⠀⠀⣷⠀
⠀⠀⠀⠀⣠⠔⠊⠉⠁⡏⠀⠀⠀⠀⠘⡆⠤⠿⣄⣀⠀
⠀⠀⠀⠀⣧⠸⠒⣚⡩⡇⠀⠀⠀⠀⠀⣏⣙⠒⢴⠈⡇
⠀⠀⠀⠀⠈⠋⠉⠀⠀⢳⡀⠀⠀⠀⣸⠁⠈⠉⠓⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠛⠛

⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠠⠤⠀⣀⣀⠀
⠀⠀⠀⠀⣀⢤⡒⠉⠁⠀⠒⢂⡀⠀⠀⠀⠈⠉⣒⠤⣀
⠀⠀⣠⠾⠅⠈⠀⠙⠀⠀⠀⠈⠀⠀⢀⣀⣓⡀⠉⠀⠬⠕⢄
⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⢦⡀⠑⠀⠀⠀⠀⠈⢧
⠀⡇⠀⠀⠀⠀⠀⢤⣀⣀⣀⣀⡀⢀⣀⣀⠙⠀⠀⠀⠀⠀⠀⢸⡄
⠀⢹⡀⠀⠀⠀⠀⡜⠁⠀⠀⠙⡴⠁⠀⠀⠱⡄⠀⠀⠀⠀⠀⣸
⠀⠀⠱⢄⡀⠀⢰⣁⣒⣒⣂⣰⣃⣀⣒⣒⣂⢣⠀⠀⠀⢀⡴⠁
⠀⠀⠀⠀⠙⠲⢼⡀⠀⠙⠀⢠⡇⠀⠛⠀⠀⣌⣀⡤⠖⠉⠀
⠀⠀⠀⠀⠀⠀⢸⡗⢄⣀⡠⠊⠈⢦⣀⣀⠔⡏
⠀⠀⠀⠀⠀⠀⠈⡇⠀⢰⠁⠀⠀⠀⢣⠀⠀⣷⠀
⠀⠀⠀⠀⣠⠔⠊⠉⠁⡏⠀⠀⠀⠀⠘⡆⠤⠿⣄⣀⠀
⠀⠀⠀⠀⣧⠸⠒⣚⡩⡇⠀⠀⠀⠀⠀⣏⣙⠒⢴⠈⡇
⠀⠀⠀⠀⠈⠋⠉⠀⠀⢳⡀⠀⠀⠀⣸⠁⠈⠉⠓⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠛⠛

⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠠⠤⠀⣀⣀⠀
⠀⠀⠀⠀⣀⢤⡒⠉⠁⠀⠒⢂⡀⠀⠀⠀⠈⠉⣒⠤⣀
⠀⠀⣠⠾⠅⠈⠀⠙⠀⠀⠀⠈⠀⠀⢀⣀⣓⡀⠉⠀⠬⠕⢄
⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⢦⡀⠑⠀⠀⠀⠀⠈⢧
⠀⡇⠀⠀⠀⠀⠀⢤⣀⣀⣀⣀⡀⢀⣀⣀⠙⠀⠀⠀⠀⠀⠀⢸⡄
⠀⢹⡀⠀⠀⠀⠀⡜⠁⠀⠀⠙⡴⠁⠀⠀⠱⡄⠀⠀⠀⠀⠀⣸
⠀⠀⠱⢄⡀⠀⢰⣁⣒⣒⣂⣰⣃⣀⣒⣒⣂⢣⠀⠀⠀⢀⡴⠁
⠀⠀⠀⠀⠙⠲⢼⡀⠀⠙⠀⢠⡇⠀⠛⠀⠀⣌⣀⡤⠖⠉⠀
⠀⠀⠀⠀⠀⠀⢸⡗⢄⣀⡠⠊⠈⢦⣀⣀⠔⡏
⠀⠀⠀⠀⠀⠀⠈⡇⠀⢰⠁⠀⠀⠀⢣⠀⠀⣷⠀
⠀⠀⠀⠀⣠⠔⠊⠉⠁⡏⠀⠀⠀⠀⠘⡆⠤⠿⣄⣀⠀
⠀⠀⠀⠀⣧⠸⠒⣚⡩⡇⠀⠀⠀⠀⠀⣏⣙⠒⢴⠈⡇
⠀⠀⠀⠀⠈⠋⠉⠀⠀⢳⡀⠀⠀⠀⣸⠁⠈⠉⠓⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠛⠛