⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡟⣄⠂⢄⣀⣀⣄⣠⣾⣯⡀⣧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢛⡩⣖⠿⡴⠟⡕⢦⣕⠠⣗⡿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡰⣣⡾⢡⠾⡁⠀⡽⡈⡜⢷⡜⠧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⢱⣿⢀⠸⡆⢳⣧⣱⡇⢠⠘⣏⡌⣧⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢹⣞⣿⡚⢖⠷⢠⣾⣯⣷⠘⡀⢡⣦⢹⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢻⡿⠛⠂⠀⠀⠙⠋⠀⠀⡇⢸⣿⢸⣧⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣼⠀⠀⢡⣤⠄⠀⠀⢸⠀⣸⠙⡆⢸⠀⠀⠌⡁
⠀⠀⠀⠀⠀⠀⠀⢘⡄⣑⢤⣀⢀⣠⢖⢇⡟⣠⢏⢳⠀⣾⢀⠌⡰⠀
⠀⠀⠀⠀⠀⠀⠀⡞⢀⢡⢏⣼⡧⠒⢎⡎⠤⠫⡮⡎⠀⡿⠋⠔⠁⠀
⠀⠀⠀⠀⠀⢀⠜⣴⢺⣿⣾⠷⣽⢋⠊⡔⢩⡖⢺⠧⣀⠀⣮⠑⡀⠀
⢀⠀⠀⣀⠔⢁⣶⣿⡿⣿⣥⡞⣡⡇⡜⡇⣿⠀⡇⠈⠚⠷⠇⡠⢉⠆
⠒⠂⢉⡠⣴⣾⣿⣋⣴⣗⣭⣼⢿⡇⠱⡿⢿⡤⣧⣉⣉⣵⣾⠷⠁⠀
⠂⢉⣤⠞⣹⣟⣿⣯⣼⠿⣿⣿⣾⣿⣄⠈⠈⡳⣀⣀⠴⢹⠈⠀⠀⠀
⠘⠊⠀⠒⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠂⠒⠓⠛⠂⠘⠂⠀⠀⠀