⢀⡔⣹⢸⠀⣿⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠂⠀⠐⠒⠒⠂⠀⠀⠒⠒⠂⠀⠀⠀⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠄⠀⠀⠀⠀⠀⠀ ⡯⠚⢸⢸⢸⡇⢘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠲⠭⠭⢍⣉⠲⡄⣀⠤⠤⠤⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣶⣾⠉⣼⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠤⠤⠤⠤⣀⣱⡟⣦⠔⠂⠀⠀⠐⠚⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⡏⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⣀⠤⠔⠒⠂⣺⢧⢻⣏⡴⠶⠭⠭⠭⢑⣒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⢀⡀⠀⠀ ⣿⣿⢸⣼⡁⢀⡇⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢠⣃⢀⠴⠊⠀⠀⠀⠀⡴⠫⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠉⠲⢕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡟⡄⢮⡀⠀⢳⠃⠀⠀ ⣿⣿⢸⡷⠁⢸⠃⠀⠀⠀⣦⢰⢱⡷⢀⠀⠀⠀⢀⡀⠘⠚⠁⠀⠀⠀⠀⠀⣎⣠⣴⡿⠧⠤⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠛⠀⠪⠇⠘⠒⠂⠀ ⣿⣿⣾⡡⠀⡞⠰⣿⣏⡀⢸⠾⢇⠉⡋⣀⢰⣾⣻⠱⡄⠀⠀⠀⠀⠀⡠⠒⠉⠁⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⣠⠤⠄⢢⢶⡄ ⡿⣿⣿⡇⠠⡇⠈⣿⠋⠳⠀⣀⢽⣹⢴⣽⠞⠩⡞⣲⠀⠀⠀⠀⠀⡞⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡌⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠖⠂⠉⣢⠀⡏⢳⠀⠙⢦⠀⢨⠟⢣ ⡇⣿⢻⡇⣸⠁⠀⣀⣲⣀⠸⣞⡨⢗⠂⠸⣼⣀⡹⠅⠘⠀⠀⠀⢸⠇⠿⠆⢀⠴⠤⡀⢀⠔⠲⡄⣧⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠴⠊⢀⡾⠃⠀⣷⠋⠃⠀⠒⠃⠈⠦⠞ ⣷⡿⣾⣇⡇⢰⠲⣝⡦⠚⠀⠀⠀⠛⠖⡖⠊⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⠀⡣⠿⢧⡇⢸⠼⠿⣸⠉⠀⡏⠀⠀⠀⠀⢠⠖⢲⢔⣾⡃⣀⣀⣠⠞⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⢹⡿⠀⠈⢖⠁⠀⠀⠀⠀⠀⠀⡖⣒⠖⢢⣀⣠⡞⣉⢙⡄⠀⢋⠋⠀⠀⡀⠤⢥⢭⡀⠀⠀⠀⣠⡃⣞⣉⡑⡄⠈⣧⣶⣷⣛⣩⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⡇⢸⡇⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠘⠯⠄⠊⠀⠈⠉⠉⠉⠉⠉⠙⡄⠀⢸⡀⠀⠈⡿⡿⠀⠀⢀⠎⠈⠉⠀⣮⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡧⡇⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⣼⠁⠀⠉⢰⠀⢀⡞⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡜⠉⠢⣀⣠⠎⢇⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢧⢏⢢⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⡱⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢁⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⢤⣿⡤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀bob ⣇⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠥⠒⠲⠟⣄⠤⢼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠛⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣦⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣶⣄⣀⣤⣤⣤⣤ ⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠓⠒⠒⠚⠒⠒⠀⠈⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠹⣏⣉⣙⣉⣉⣉