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