⠀⠀⠀⢀⠒⣜⣶⡶⠿⣅⣇⢿⣷⣝⣤⣥⡇⣮⡖⣶⢧⡛⡤⡤⡀⠀⠀⠀ ⠀⠀⡤⢧⣆⣷⣯⣇⣵⣿⣿⣻⣿⣷⣿⣿⣛⣿⣿⣏⣟⡟⣟⣦⡇⠀⠀⠀ ⠀⢀⣂⡍⡧⡏⣩⡟⣯⣿⣧⣵⣻⡡⢯⣾⣿⣋⣻⣷⣟⡯⣾⡍⣫⠄⠀⠒ ⠀⢀⡿⣲⢯⣍⡺⣿⣿⣿⡯⣼⣦⡾⠋⠉⢻⣦⣍⣯⠷⣯⣯⣷⠕⣥⡀⠀ ⠀⠊⡇⢛⣷⣏⣳⢳⣿⣿⣿⣱⣏⡀⢀⣤⣤⣷⡭⣺⡏⣭⣿⣿⠵⢕⢐⠀ ⠀⣫⡧⢌⡝⡉⣎⢸⣿⣿⣿⡛⠛⣻⣘⠛⠋⢹⣿⣷⣧⡫⣽⣝⣤⡋⠆⠀ ⠀⡃⣿⣡⢗⣿⣶⣿⣿⢿⣿⣷⣀⣿⣞⣀⢀⣽⣿⢹⡇⡷⣯⢥⣯⠊⠀⠀ ⠀⡏⡛⣟⡇⣔⣯⡿⣾⣿⣿⣿⣷⡛⠟⣡⣾⣿⣿⣽⣯⣟⣏⣝⣾⡕⠀⠀ ⠀⠈⠳⡭⡝⣿⣋⣶⣿⣿⣿⣿⡿⢿⡿⠋⠸⣿⣿⣿⡟⣷⡖⣭⡟⡃⠀⠀ ⠀⠀⠀⠀⢁⣤⣿⣻⣿⣿⣿⣟⣣⣾⠁⣆⣀⣈⡙⠿⠻⠽⠧⣈⠉⠀⠀⠀ ⠀⠀⠀⣰⡏⠁⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠀⠀⠀⠀⠀⠀⠀⠄⠱⠀⠀⠀ ⠀⠀⠀⣿⣽⢓⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀ ⠀⠀⠀⣿⠟⢸⣧⡆⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⢠⣼⠀⠀⡇⠀⠀ ⠀⠀⠀⢿⡀⣼⣯⡀⠀⠀⠀⠀⠀⠁⣿⠀⠀⠀⠀⠀⣤⣌⢷⠀⠀⠇⠀⠀ ⠀⠀⠀⢸⣷⣿⣿⠇⠀⠀⠀⠀⣡⠀⢿⡼⣄⠀⠀⢖⣿⡽⢸⠀⢰⠀⠀⠀ ⠀⠀⠀⢸⣧⢫⣹⢶⣄⣀⣀⡴⠃⠀⠈⢿⣿⣢⣀⡀⠀⣠⡞⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⣷⠁⢹⣿⡺⢿⡋⠀⠀⠀⡇⠀⠙⠛⠿⠟⣻⣿⠀⠀⣸⠀⠀⠀ ⠀⠀⠀⢠⣿⡀⢸⡿⣇⠀⣿⠃⠀⠀⡇⠀⢠⠀⠀⢀⠇⣷⠀⡄⢏⠀⠀⠀ ⠀⠀⠀⣾⠃⠇⢸⡇⢿⡄⣷⡇⠀⠀⡇⠀⠀⠀⠀⣼⠀⣿⠀⠃⠘⡀⠀⠀ ⠀⠀⢰⡏⠀⠀⣸⢡⡾⠁⡏⢻⠀⠀⡇⠀⠀⠀⠀⠹⣄⢻⡇⠀⠀⢃⠀⠀ ⠀⠀⢸⠧⠀⢰⣿⠟⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⢺⣿⡀⠀⢸⠀⠀ ⠀⠀⣿⠆⢠⡟⢣⠞⠀⢸⣧⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠸⡄⠀ ⠀⢀⡏⢠⣟⠀⣸⡀⠀⠘⡼⣆⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⡇⠀ ⠀⣸⠇⣾⡃⢀⢯⣷⡀⠀⢡⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⢱⠀ ⢀⣿⢰⡟⠁⣿⠀⠻⣿⡄⠀⠁⠉⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠈⣧⠘⡆ ⢈⣿⢿⡇⠀⢸⠀⠀⠈⠛⢦⣴⡄⠀⠀⠀⢀⣴⢞⡿⠃⠀⠀⠀⠀⡿⠀⡇ ⢸⣿⠈⡇⠀⢸⡇⠀⠀⠀⠀⠹⣿⠶⠿⢴⡿⠃⣸⠁⠀⠀⠀⠀⢰⠁⠀⡇ ⢼⣻⣆⡇⠁⠀⣧⠀⠀⠀⠀⠀⠘⡆⢀⡏⡀⠀⠏⠀⠀⠀⠀⠀⢸⣠⣇⣧ ⠘⣿⣿⣷⠀⠀⢸⡀⠀⠀⠀⠀⠀⡇⢸⡇⠃⠀⠀⠀⠀⠀⠀⠀⣿⣾⣫⠋ ⠀⠈⢻⣿⣷⡀⠀⢧⠀⠀⠀⠀⠀⡇⠘⣇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠋⠀