⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿
⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⣀⣀⡀⠀⠀⠀⠀⠈⢹⣿
⠀⠀⠀⡴⠒⠛⠛⠛⣿⢧⡀⠀⠀⠀⠀⠀⠚⡏⠹⢦⣀⠀⠀⠀⡀⠀⠀⠀⣼
⢀⠀⠀⠀⠀⢀⣀⣼⠃⠈⠳⡄⠀⠀⠀⠀⣼⣣⠤⠶⠿⢷⣦⣄⣧⠀⠀⠀⢸
⢸⠀⢀⡴⠋⠉⠉⣉⡳⢄⠀⠙⣶⡀⠀⡴⡿⠁⠀⠀⣠⣶⣬⢧⢹⡆⠀⠀⠀
⢸⡷⣿⠀⠀⠀⢸⣿⣿⡿⡆⠀⢹⡷⠛⠁⢧⠀⠀⠀⠻⣿⡿⣸⢸⠇⠀⡀⢰
⠘⡇⠘⣄⢀⣠⠬⢝⣋⡼⠁⠀⠀⠀⠀⠀⠈⠳⠖⠉⠉⠒⠖⣡⡟⣠⣾⣷⢾
⠀⠹⡄⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠟⠻⣯⣹⣇⣸⣿
⣷⣤⣹⣦⣀⡀⠀⠀⠀⠀⠀⠈⠳⠦⠶⠋⠀⠀⠀⠀⠀⢀⣀⡤⠔⠚⢉⣉⣭
⠈⠁⠈⠻⣍⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⣶⣶⣿⠉⠀⠀⠀⠘⠦⣿⣿
⣤⡀⠀⠀⢸⣧⡀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣀⣈⠳⣿

⠀⠀⠀⠀⠀⣠⡴⠖⠚⠋⠉⠂⠉⠙⠒⠲⢦⣄⡀
⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠣⣄
⠀⠀⠀⡠⠚⠁⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀
⠠⠴⣿⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢹⡀
⠀⣰⠃⠀⠀⠀⠀⠂⡩⢻⡇⠀⠀⠀⠀⣼⡇⠤⠤⣄⠀⠀⠀⠀⠀⢧
⢀⡇⠀⠀⣸⣤⣴⠯⠦⢜⡇⠀⠀⢀⡜⠁⢣⣀⣀⠈⠀⠀⠀⠀⢠⠸⡄
⢸⡇⠀⠀⣿⡙⢹⣿⡇⠈⡿⢄⢠⡼⠀⡞⠁⣴⣦⠙⡇⡀⠀⠀⢸⠀⡇
⠈⢧⢀⠀⢿⢣⡀⠉⠀⢠⠇⠈⠻⠅⠀⡇⠀⠛⠋⠀⡝⡇⠀⠀⢸⠀⣽⠆
⠀⢰⠻⢷⣮⣦⡙⠒⠚⠁⠀⠀⠀⠀⠀⠙⠤⣀⣠⠞⢱⡇⠀⢀⡜⠀⡇
⠀⢸⢸⢰⠃⠈⠁⠀⠀⠀⠈⢦⣀⡴⠀⠀⠀⠀⠀⢀⠞⣀⢤⡞⠁⢀⡇
⠀⠈⣮⠎⡣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠛⠛⠉⡀⠀⡼
⠀⠀⠈⠑⢯⣮⡳⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣜⠀⠀⣠⠜⣁
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣍⠙⣒⣶⣒⠒⠒⢋⡿⣿⣿⣾