⠀⠀⠀⠀⠀⠀⣾⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⠀⠀⠀⠀⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢻⣿⣇⠀⠀⠀⠘⣿⣿⡀⣠⣴⣶⣶⣶⣤⣄⠀⠀⣸⣿⣄⢠⣾⡿⠿⠿⣿⣷⣄⠀⢀⣤⣴⣾⢷⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⣿⣿⣇⠀⠀⠀⣿⣿⡏⠛⢉⡁⠀⠉⠛⠿⣿⣆⣿⠻⣿⡟⠁⠀⠀⠀⠀⠹⣿⣇⢸⣿⣅⡀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣄⠀⠀
⠀⠘⣿⣿⠀⠀⢀⣿⣿⠁⣀⣿⣿⡄⠀⠀⠀⠙⣿⣿⠀⢻⣿⡀⣾⣦⠀⠀⠀⣿⣿⠀⠈⠛⠿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⣠⣼⡿⠛⠋⠉⠉⠛⢻⣿⡄
⠀⠀⢹⣿⣧⠀⣸⣿⢇⣸⣿⡿⣿⣿⡀⠀⠀⠀⣿⣿⠀⠈⢿⣷⠸⣿⣷⠀⢀⣿⠇⢀⣶⣦⠀⠀⠉⠻⣶⣄⠀⠀⠀⢠⣶⣿⠿⠿⢿⣷⣼⡿⠁⠀⠀⢠⡀⠀⠀⠀⣿⣷
⠀⠀⠈⢿⣿⣾⣿⣽⠏⣿⣿⠁⠸⣿⣷⡀⠀⢀⣿⣿⠀⠀⠘⣿⣇⠸⣿⣷⣾⣋⣶⣿⣿⣿⣾⠿⠷⣦⡀⠙⢷⣀⣼⣿⠋⠀⢠⡄⠀⣿⣿⠀⠀⠀⣶⡈⠛⠀⠀⢠⣿⡇
⠀⠀⣤⡾⣿⡏⠉⠀⠀⣿⣿⠀⠀⠙⣿⣧⣴⠟⠁⢹⡇⠀⠀⣙⣿⣧⣿⣿⡟⠋⠁⢸⣿⣿⣿⡀⠀⠈⣿⡄⠀⢻⣿⡇⠀⣧⡈⠁⢀⣿⢿⣦⡀⠀⠈⠁⢀⣤⣾⡿⠋⠀
⠀⠀⠀⠀⢻⡇⠀⠀⠀⢻⣿⠀⠀⠒⠚⢿⣇⠀⠀⣨⣿⠚⠛⠉⠹⣿⣯⢹⣧⠀⠀⠘⣿⡏⢻⣿⡄⠐⠚⠁⠀⣸⣿⣧⡀⣠⣤⣴⠛⠁⠀⠉⠛⠛⠒⠚⠛⠋⠉⠀⠀⠀
⠀⠀⠀⠀⠈⡇⠀⠀⠀⠸⣿⡄⠀⠀⠀⠈⢹⡄⠈⠁⠙⠀⠀⠀⠀⠘⣿⡇⠹⠀⠀⠀⣿⡇⠀⠙⢿⣷⣶⣶⣾⠛⠁⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀