•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀
•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀•⠀⠀

⠀◤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀◥

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢿⠿⣛⣯⢭⣶⣲⢶⣖⣮⣬⣜⡨⣛⢿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣭⣶⣶⣶⣿⣿⣿⣿⣾⣿⣽⣿⣾⣿⣿⣿⣮⡚⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡼⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡷⢹⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣫⣝⢿⣿⣿⠹⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⣾⣿⣿⣿⣿⣿⣿⠚⣖⢸⣿⠟⣛⣿⣤⣧⣾⣿⣿⣷⢹⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣿⣿⣿⣿⢿⣿⣿⣾⣿⣿⣷⣸⣿⣿⣿⣿⣯⢷⣿⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⢸⣿⣿⣿⣽⢯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⡫⡿⣿⣿⣿⣿⡿⠋⡉⠅⡉⠍⠛⢋⢡⠠⣐⠄⢻⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣶⣭⣍⢋⣫⠄⢐⢐⠐⡐⠈⠌⡀⡂⡐⢈⣭⣤⢻⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣟⠿⣿⡟⣾⣿⣿⣿⡿⠃⠄⠅⠡⠐⡀⢂⠌⠻⠿⣸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣝⢗⡝⢡⣿⣿⣿⡉⠁⠡⠨⠠⠁⠅⢂⠂⠌⢐⣼⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡎⣷⢸⣿⣿⣿⣿⣶⣄⣄⡁⠌⠨⢀⣂⡅⣿⣿⣿⣿

⠀◣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀◢