⡄⠀⠀⠀⠀⢠⠏⠀⠀⠀⣾⢸⠀⠀⢀⣠⣾⣇⣇⣀⡇⠈⠑⠦⡀⠀⠀⢠⣇⠀⠀⠀⡇⡄⡇⠀⣏⢳⣄⠀⠀⠙⠿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⠤⣀⠤⠤⠤⠾⠒ ⠁⠀⠀⠀⢠⠋⠀⠀⠀⠀⡇⣼⡤⡾⠛⠉⡙⡇⡇⠀⡇⠀⢸⠀⢈⠓⢤⣸⢹⠀⠀⠀⡇⣇⡇⠀⢹⠸⡏⠳⣄⠀⠀⠈⠛⠷⣦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⡇⣿⠎⠀⠀⠀⡇⡇⡇⠀⡇⠀⢸⠀⢸⠀⢸⣿⢸⠤⣀⣿⡇⢸⣿⠀⠘⡄⣷⣤⠈⡗⢦⡀⠀⠀⠀⠙⠻⠵⢦⣄⣀⣀⠀⠀⠀⠀⠀⣀⣀⣤⡶⠟⡡ ⠀⠀⢀⡇⠀⠀⠀⠀⠀⢀⡗⣿⠀⢰⠀⠀⡇⠃⡇⠀⣿⠀⢸⠀⢸⡀⢸⣿⠈⡆⠈⣿⣿⠀⣾⠀⠀⣧⡟⣿⣆⡇⠉⠏⠗⠦⠄⣀⠀⠀⠀⠈⠉⠉⠉⠐⠒⠓⠛⠃⢉⡁⠴⠊⢱ ⢇⠀⢸⠃⠀⠀⠀⠀⢠⠋⢿⣿⠀⢸⠀⣀⡇⢸⣇⠀⣿⠀⢸⡆⢸⡇⢸⣿⠀⣧⡀⢸⣿⠀⠹⠈⠁⢀⣠⣠⡶⢶⣯⣭⣷⠶⢾⡷⠏⠙⠒⠒⠒⠒⠒⠒⠒⡖⠊⠉⠁⠀⠀⠐⢀ ⣞⢆⢸⠀⠀⠀⠀⣠⠃⡀⠸⠿⢀⡸⠀⠛⠓⠘⠛⠒⠛⠃⠸⢷⣸⡇⢸⢹⠀⢹⣧⣾⢻⠀⠀⠿⣿⢻⣏⢹⡍⣤⣒⣲⢼⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⡹⢯⣻⡆⡀⣄⡰⡁⡆⣧⣇⣲⣷⣼⣷⣼⣷⡚⣟⡿⣿⣷⡄⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⢰⣍⡷⣤⣤⡴⢞⣡⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠙⡇⣇⢹⠁⢻⢿⣿⣷⢸⢻⡋⠷⢄⢸⡞⠭⣻⡇⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠦⣽⣿⣷⣶⣿⣿⣳⠿⡇⠀⠀⠒⠤⡀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢆⠀⢰⢿⡟⡆⣘⣼⣿⣿⠀⠛⣧⡀⢷⣄⣉⣉⣥⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠴⣰⣴⡶⠀⠀⠈⠓⢤⡀⡗⠒⠒⠒⢤⢤⡤⠤⠤ ⠀⠸⠁⠀⠻⠹⣿⣿⡟⠈⣏⠀⠀⠟⠻⠶⠾⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⣄⡿⠶⠆⠀⠀⠀⠀⣇⠁⠀⠀⠀⠈⣿⣇⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠈⠁⢀⡜⠀⣷⣄⡤⠒⠒⠂⢤⡀⠀⠀⠀⠀⠀⠠⠿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⣧⠃⠀⠀⠀⠀⠀⢀⠀⣿⠀⠀⠀⠀⠀⠸⣟⡆⠀ ⠀⠀⠀⠀⠀⣀⠤⠒⡟⡽⠈⢠⣼⠿⢄⡀⠀⢀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⣿⢀⡏⠀⠀⠀⠀⠀⠀⢻⣵⡀ ⠀⢀⡠⠖⢩⠃⠀⡼⣱⡵⢂⠀⠀⡀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⣿⢸⠃⠀⠀⠀⠀⠀⠀⠈⣯⢇ ⠒⠁⠀⢠⠃⠀⣰⢡⠃⠀⢸⠀⡀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠸⡟ ⠀⠀⢀⠇⠀⢰⢣⠏⠀⠀⡎⡤⠘⡈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠴⠊⠙⠒⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣿⣿⡏⣧⠀⠀⠀⠀⠀⠀⠀⠀⢱ ⠀⢀⠎⠀⢠⢇⠎⠀⠀⠀⢃⡇⠀⢣⠀⠈⠑⠦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠖⢻⢁⡇⠀⠀⠀⠀⠀⠀⣿⢹⢻⠸⡀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⡜⠀⢠⠎⡞⠀⠀⠀⢸⡼⡇⠀⠀⠀⠀⠀⠀⠀⠈⠹⠶⡶⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠒⠋⠁⠀⠀⠘⣾⠁⠀⠀⠀⠀⠀⢠⡟⡟⠈⡆⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣡⢀⡞⡜⠀⠀⠀⠀⡾⡇⡇⠀⢰⠀⠀⠀⠀⡀⠀⡄⠀⠀⠈⠀⠀⠀⠉⠉⠛⠒⠒⣺⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⢸⣷⠁⠀⢹⠘⡄⠀⠀⠀⠀⠀⣀⠤ ⡛⣇⡜⡰⠁⠀⠀⠀⠀⣧⠀⠇⠀⢸⠀⠀⠀⠀⡇⢠⠇⠀⠀⠀⠀⠀⠀⢀⢰⡶⠚⠉⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⣿⢏⣀⠀⠀⡇⢳⢀⣠⡴⠚⠉⠀⠀