⠀⢀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⣼⡏⠉⠉⠉⠉⠛⠓⠶⢤⣶⣶⡾⣿⢿⡿⢿⡿⣿⡿⣿⢿⡿⣷⣶⣶⡤⠶⠛⠛⠉⠉⠉⢹⣧⡄
⢸⡏⠙⠀⠀⢀⡀⠀⠀⠀⠀⢹⣞⣵⣛⣮⡽⣳⡽⢶⡻⣯⡿⣽⣳⣟⡎⠀⠀⠀⠀⢀⡀⠀⠀⠋⢹⡇
⠈⣿⠀⠀⠀⠈⣿⣿⣦⣀⣠⣟⠾⣜⣧⢷⣹⢧⡟⣽⡳⣝⢿⣷⣛⡾⣽⣆⣀⣴⣿⣿⠃⠀⠀⠀⣿⠀
⠀⢻⣆⠀⠀⠀⠘⣿⣿⢻⢧⢯⣻⡝⣮⢷⣫⠾⣝⡧⣟⡽⣾⣻⣽⣛⡷⣯⣟⣿⣿⠃⠀⠀⠀⢰⡟⠀
⠀⠈⢿⣆⠀⢀⣴⡟⣼⣏⢯⡷⣳⣻⡛⠾⣵⣻⡝⣾⣭⣟⡷⣻⣾⡽⢯⣷⣛⣮⣟⡶⡄⠀⣠⡿⠁⠀
⠀⠀⠈⣿⣶⢯⣳⡽⣳⢞⣯⢞⡷⣻⣦⠀⠘⣧⣟⣳⣯⠇⠀⣱⡿⣽⣻⢾⡽⣾⣭⢿⡽⣶⣿⠁⠀⠀
⠀⠀⣼⡿⣽⡺⣵⣫⢷⣻⠼⠛⣻⣿⠛⢻⣾⢿⣎⣿⡽⣷⡞⠛⣿⣗⠛⠿⢞⡷⣯⢯⣟⡷⣿⣧⠀⠀
⠀⢰⣿⣿⣯⢷⣳⠟⠋⠀⠀⢰⣿⣿⣶⠞⠃⠀⠈⠁⠀⠘⠳⣶⣿⣿⡇⠀⠀⠉⢻⣟⣾⣻⣿⣿⡆⠀
⠀⠛⢩⣿⣟⣮⠏⠀⠀⠀⠀⢸⣿⡟⠁⠀⠀⣠⣾⣷⣄⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀⢹⣶⣻⣿⠉⠛⠀
⠀⠀⠐⣿⣷⣾⣀⠀⠀⠀⠀⠈⣿⣧⣀⠀⠀⠙⢿⡿⠋⠀⠀⣀⣼⣿⠁⠀⠀⠀⠀⣀⣷⣯⣿⠀⠀⠀
⠀⠀⠀⠛⠋⢿⣯⣤⣄⣀⣀⣀⣘⣿⡿⠷⣶⣶⢾⣷⣶⣶⠾⢿⣿⣃⣀⣀⣀⣀⣤⣽⡿⠙⠛⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⢳⡄⠘⠻⣯⣾⠟⠁⢠⡞⠉⠉⠉⠉⠉⠉⠁⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⢶⣄⣀⣀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀