⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠚⠛⠛⠳⢦⣄⣀⣤⣴⠶⠖⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠶⠒⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀
⠀⠀⠀⠀⣠⡴⠶⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀
⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀
⠀⠀⢀⡿⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀
⠀⢀⡾⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀
⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀
⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣄⠀⠀
⠈⣧⠘⣆⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣄⠀⠀⠀⠀⢀⣠⠞⠁⠈⢷⠀
⠀⠘⣆⢻⣆⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⣠⡿⠿⠿⠖⠛⠛⠉⠀⠀⠀⠀⢸⠇
⠀⠀⠘⢎⢿⡆⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣄⣀⣠⣤⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀
⠀⠀⠀⠈⢮⣇⠀⠀⠀⠀⠀⣽⣇⠀⠀⠀⠀⠀⠀⠀⣸⣿⠿⠻⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀
⠀⠀⠀⠀⠀⠛⢦⣄⣀⣀⣠⣿⣿⠷⣤⣤⣤⠶⠾⠿⠛⠁⠀⠀⠈⠳⠦⠴⠖⠒⠚⠋⠙⠓⠒⠚⠋⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢰⡾⠛⢶⣄⠀⠀⠀⢠⡀⢰⣆⠀⣴⣀⠀⠀⠀⢀⣦⣤⣴⣀⣤⠄⠀⠀⠐⣶⠿⠳⣦⣤⣤⣴⣀⣤⠀⠀⠀⠀
⠀⠘⣧⣤⡿⠻⣿⡿⠒⢾⣇⣾⣿⢰⡿⢿⡿⠶⣦⡀⠉⠈⣿⣅⠈⣻⣿⠗⠲⣿⣦⣶⠟⠛⠈⣿⣅⠈⣳⡿⢷⡆
⠀⠀⡯⠀⠀⠀⣿⠿⠒⠈⢿⣇⢸⣿⠃⢸⡇⠀⢸⣇⠀⠀⣿⢠⠝⢻⡿⠟⠂⣽⡇⠀⠀⠀⠀⣿⢠⠜⢻⡿⠟⠃
⠀⠀⠓⠀⠀⢩⡷⠶⡷⠀⠘⠃⠀⠋⠀⢠⣧⠾⠋⠙⠠⠶⠿⠷⠆⢸⠶⢶⠦⠙⠇⠀⠘⠠⠶⠿⠶⠆⢼⠷⢶⠧