⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠒⢲⢤⣠⡤⠴⠒⠒⠚⠒⠒⠶⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣰⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⢀⣤⡀⠀⠀⠀⠀⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣄⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠻⠿⠟⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠉⢹⡲⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡐⢄⡷⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡏⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠐⢂⣿⣿⠶⣶⠷⣤⡀⢠⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡷⠤⠴⠿⠷⠴⠴⣯⣀⡀⠀⠀⠛⠢⠀⡄⠀⠀⠀⠀⠀⢀⣼⣹⠁⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡛⣒⣒⢲⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⡤⠤⣤⠀⠀⠀⠀⣀⡴⢚⡴⠃⠀⠀⠀
⠀⣞⠓⢦⡀⠀⠈⡇⢣⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⣸⠙⠲⠾⢿⣿⡞⠋⠀⠀⠀⠀⠀
⠀⠉⠳⡀⢹⣠⠤⣿⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⣴⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀
⠀⠀⢀⣷⠋⠁⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡛⠁⣴⠗⠀⠀⠳⣷⡀⠀⠀⠀⠀
⠀⠀⣸⠁⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⢀⣬⣄⠀⠀⠈⢻⡋⠁⠀⠀⠀⠀⢀⣹⣤⡀⠀⠀
⠀⣴⠇⠀⠀⠀⢿⠐⡄⠀⠀⠀⠀⠀⠘⠻⠃⠀⠷⠶⠾⠂⠈⠛⠋⠀⠀⠀⠀⣷⢀⠀⠀⠀⠒⠫⢀⣤⠇⠀⠀
⢼⣃⣀⣀⡔⠛⠙⢆⡈⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣰⠟⠉⠙⠛⠤⠤⠖⠋⠀⠀⠀⠀
⠀⠈⠀⠀⠙⠒⠒⠒⠛⠒⠲⠤⠤⠤⠤⣤⢤⣠⣔⣤⣤⢤⠤⠤⠤⠴⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀