⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣃⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢶⠁⠂⡀⠀⠀⠈⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣮⡇⠀⠰⡄⠀⠀⠀⠀⢳⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⣾⠀⠀⣰⢻⣟⢋⠀⠀⠘⣏⣇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡜⣸⡇⠀⠀⡞⠁⠀⠈⢳⠀⠀⢻⡜⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣼⢣⣿⣄⠀⠀⠀⢀⢠⣴⠞⠀⠀⣜⢷⢹⣆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⠣⡾⡀⠀⠁⠀⣜⡞⠉⠀⠀⠀⠀⠀⠺⡆⢿⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⠏⣼⢇⠀⠠⠄⢀⢻⣷⣦⠀⢀⢀⡠⠀⠘⢻⡌⢿⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢇⠘⣿⢼⣦⣤⡬⡖⡷⣿⣿⣇⠥⣵⢄⣠⣴⢹⡟⠈⡍⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢷⣹⣿⣾⣟⣭⣵⣆⣿⣿⡏⣦⣙⣹⣻⢟⣾⠢⡼⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢇⢿⣿⡞⠹⡾⢜⢻⣿⡇⡯⣖⠝⣓⣿⢇⡜⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⡾⣿⡇⠀⠁⠀⠙⣿⣷⠀⠃⠀⢻⣯⣲⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⣆⠀⠀⠀⠀⢹⣿⠀⠀⠀⢨⡿⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡞⣧⡆⠀⠀⢘⡟⠀⢠⣼⣩⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣿⡇⠀⣴⠏⠀⠀⢸⡧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀