⠀⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⠛⠛⣤ ⠀⠛⣿⠒⠛⣧⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠛⣤⣤⠛ ⠀⠀⣿⠁⠀⠀⠀⠙⠛⢧⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣼⠛⠛⠀⠀⣿⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⢹⡇⠀⠀⠀⠀⠀⠀⢸⡿⠛⠉⠁⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⠏⠽⠿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠿⣄⣀⣀⡴⠎⠁⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠱⠶⠶⣀⣠⣾⠿⠀⠀ ⠀⠀⠀⠉⣿⣉⡁⠀⠀⢀⣰⣾⣿⣿⣿⣷⡶⠶⢆⡀⠀⠀⠀⠀⠀⠉⣿⠉⠀⠀⠀ ⠀⠀⠀⣶⡏⠻⣇⡀⡀⣼⡏⢹⣿⣿⡿⠿⢇⡀⠈⢱⡆⢀⣰⢶⣶⠾⠿⣶⠀⠀⠀ ⠀⠀⠀⣿⡷⣄⣍⣇⣱⣾⣷⣾⣏⡉⢁⣆⣸⣇⣰⣮⣹⣾⣁⣈⣩⣦⠀⣿⠀⠀⠀ ⠀⠀⠀⡿⣇⣘⣏⣻⣿⣿⣿⡿⣏⣁⣸⣿⣿⣿⣿⣿⣿⣟⣹⠉⠙⢿⣶⣿⠀⠀⠀ ⠀⠀⠀⠀⣿⡟⣿⣿⣿⣿⣿⡗⠞⠛⢛⣻⣿⣿⣿⣿⣿⣿⣗⣰⣶⣶⣿⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⡛⢻⡟⠛⢣⡄⠀⠀⢸⡗⢺⣿⣟⣻⣟⢻⡟⢻⣤⣼⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⣾⣿⡇⢹⣧⡄⠀⠘⠃⠀⢸⡇⢸⠋⢸⣷⣼⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣧⠀⠀⢠⣤⡜⢿⡿⣿⣿⡿⡍⣊⣙⠛⠛⠐⢤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⢻⡟⢃⣐⡖⠚⢳⣴⣦⡄⢸⣻⣟⢻⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⡇⠘⢻⡇⢲⡇⠘⠃⠀⠘⢣⣼⡿⠻⠼⠘⢻⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠛⡟⠃⠀⠀⠀⠄⠀⠀⠘⠘⢣⡄⠀⠈⠉⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣥⡜⠃⠀⢀⠀⠀⡄⠀⢀⣼⣯⣰⣦⣀⣠⠿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠇⠆⠰⢦⣴⡆⢀⡄⠀⠉⠹⢿⣿⣿⣿⣾⠿⠿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⢇⣀⣀⣀⣰⡿⢿⡷⠎⡁⠀⢈⢀⣸⣿⠉⠉⠉⠀⠈⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠈⠱⠶⠷⠶⠾⠷⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀