⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢤⠄⠀⠀⠀⠀⠀⠀⣤⣤⣤⠀⠠⢤⢤⣤⣤⣤⣤⣤⣤⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⢀⠀⠀⢀⠀⠀⠀⡏⣿⣿⠀⢀⣜⣧⣽⡿⣛⣿⣯⠥⠃⠀⠀⠈⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⣴⣿⡄⠀⢠⠀⠀⠋⣷⣿⣜⠀⠚⣿⡷⠟⠛⠋⢁⢀⡢⡤⠀⠀⣼⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡌⢰⣼⢯⣿⡇⠀⠘⡊⢸⠀⡿⣻⡭⠀⠗⡁⠀⢠⢤⢨⣿⣿⣷⢷⠀⣮⣿⡆⡂⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡇⡀⠀⠀⠧⢔⢱⣤⣿⣇⠀⣸⣧⢸⠀⠚⠁⢀⡀⡁⠴⠴⢮⣪⣿⣿⣿⣷⣿⠀⣏⢾⡆⣘⠀⠀⠀⠀⠀⡄⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢋⠀⠀⣔⠌⣷⣿⣿⣿⡀⣗⠾⡟⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡵⢹⣿⣼⣇⣿⣆⡄⠀⠀⢠⠃⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠄⠀⢨⣴⡞⠀⣶⣯⣻⣿⣿⣿⣿⣧⣿⣿⣠⣤⣶⣻⣿⣿⣿⣿⣿⣿⠿⡻⣿⣾⣾⣿⣸⣿⣿⣻⣿⣿⡇⠀⠀⣾⣤⡇⠀⢠⡗⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⠆⠀⢸⣷⢷⢂⣻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⢯⣓⣷⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡇⠠⣾⣼⣧⠁⠀⣿⢱⣇⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀
⠀⠀⠀⠘⠛⠂⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠋⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠙⠓⠛⠛⠃⠘⠛⠈⠛⠀⠀⠀⠀⠀⠀⠈⠚⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀