⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣿⡄⢸⣿⡀⠀⠀⣰⡿⠀⣴⡆⠀⠀⣿⣿⣿⣾⠧⠄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⣿⣇⣼⣿⡇⠀⠀⣿⡇⢰⣿⡇⠀⠀⣿⣁⣤⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⠈⣿⡏⢿⡇⠀⢀⣿⣇⣸⣿⡇⠀⢸⣿⠛⠛⠉⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣸⡏⠀⠻⠁⣼⡇⠀⢸⣿⡿⢻⣿⡷⠆⢸⣿⣤⣀⣀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⢸⡇⠀⠾⣿⠇⢸⡿⠇⠀⠀⣿⡿⠿⠛⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢰⡿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀
⠀⠀⣀⣀⣀⣤⣀⢀⡀⣠⣤⠀⠀⣄⡀⣴⠇⢠⣾⠀⠀⢀⡀⠀⣤⡇⠸⠇⣤⠀
⠀⠀⣻⡿⠛⣿⡿⠈⣱⡟⣿⡇⠀⢻⣿⡿⠀⣾⡏⠀⠀⣿⣷⠀⣿⡇⠀⢠⣿⡇
⠀⠀⣿⡆⢠⣿⠁⢰⣿⠀⣿⡇⠀⠈⣿⠇⠀⢹⣇⠀⣼⣿⣿⠀⣿⡇⢀⣿⢿⡇
⠀⠀⣿⠇⢸⣿⠀⢸⣿⠀⣿⡇⠀⣸⣿⣇⠀⠈⢿⣶⡏⣿⣿⠀⢻⣿⣾⡏⢸⣧
⠀⠀⣿⠀⢸⡇⠀⢸⣿⢠⣿⡇⢀⣿⢻⣿⠀⠀⠈⠉⠀⣿⡟⠀⠘⣿⣿⡇⠀⣿
⠀⠀⣿⠀⢸⡷⠀⠸⣿⣾⠍⠀⢸⣿⠀⢻⠇⠀⣀⣠⣾⣿⠀⠀⠀⢹⣿⠀⠀⠸
⠀⠀⠙⠀⠸⠛⠀⠀⠛⠉⠀⠀⠘⠃⠀⠀⠀⠀⠻⠿⠿⠇⠀⠀⠀⠸⡟⠀⢀⡀