⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⣁⣤⣤⣤⣄⣈⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⡞⠉⠀⠀⠀⠀⠉⢳⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠙⠦⣤⣤⣤⣤⠴⠋⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢤⣤⣤⡤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠚⠛⠛⠋⠉⠉⠙⠛⠛⠓⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠀⠶⣴⣏⠀⢠⠤⠤⠤⠤⠄⠀⣹⣦⠶⠀⠉⠳⢦⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠸⠋⠉⢁⣀⣀⣀⣀⣀⣀⣈⠉⠙⠃⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀ ⠀⠀⢀⡾⠃⠀⠀⠀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⠀⠀⠀⠘⢷⡀⠀⠀ ⠀⢠⡟⠀⠀⢀⣤⣾⣿⣿⢿⣻⡿⣽⣟⣾⣽⡾⣟⣾⣽⣾⢯⣿⣽⢿⣻⣿⣿⣦⡄⠀⠀⢻⡄⠀ ⢀⡿⠀⠀⢠⣾⣿⡿⣯⣿⣻⡿⣽⡿⣽⣯⣷⡿⣟⣯⣿⢾⣟⣿⡾⣿⣻⡷⣿⣻⣿⣦⠀⠀⢿⡀ ⣸⠁⠀⢠⣿⣿⡿⣽⣟⣷⣿⣻⡿⣽⣿⣳⣿⣽⡿⣯⣿⣻⣯⣷⡿⣟⣷⡿⣿⣽⣟⣿⣧⠀⠈⣇ ⣿⠀⠀⣿⣿⡿⣽⣟⣯⣿⣞⣿⣽⣿⣳⣿⣳⣿⣽⣟⣷⡿⣽⣾⣟⣿⣽⣟⣿⢾⣯⡿⣿⡇⠀⢿ ⣇⠀⢰⣿⣿⣻⣯⣿⣻⣾⣻⣽⣾⢷⣿⣳⣿⣳⣿⣾⢯⣿⣟⣷⣿⣻⣾⢯⣿⣻⣷⢿⣿⣷⠀⢸ ⣿⠀⠈⣿⣿⣽⡷⣿⣽⣷⣿⣿⣯⡿⣷⡿⣽⣿⣿⣿⣻⡷⣿⣻⣾⣿⣿⣟⣯⣷⣿⣻⣿⡇⠀⣿ ⢹⡀⠀⠈⠻⣷⣿⣟⣷⠟⠁⠙⢿⣿⣽⣿⡿⠋⠈⠻⣿⣽⣿⣷⠟⠁⠙⢿⣯⣷⣿⡿⠋⠀⢀⡏ ⠘⣧⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣼⠃ ⠀⠸⣧⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠰⠞⠲⠞⠳⢶⣷⡦⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⣼⠇⠀ ⠀⠀⠘⢧⡀⠀⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⢀⡼⠃⠀⠀ ⠀⠀⠀⠀⠛⢦⡀⠈⠛⠶⢤⣄⣀⣀⣀⠀⠀⠀⠀⠀⣀⣀⣀⣤⡤⠶⠛⠉⠀⢀⡴⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠳⢦⣄⣀⠀⠈⠉⠉⠉⠋⠉⠙⠉⠉⠉⠁⠀⠀⣀⣠⡴⠞⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠶⠶⠦⠴⠴⠦⠶⠴⠶⠶⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀