⢸⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀
⢸⠀⠀⠀⠀⢀⠖⠒⠒⠒⢤⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀
⢸⠀⠀⣀⢤⣼⣀⡠⠤⠤⠼⠤⡄⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀
⢸⠀⠀⠑⡤⠤⡒⠒⠒⡊⠙⡏⠀⢀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⡄⠀
⢸⠀⠀⠀⠇⠀⣀⣀⣀⣀⢀⠧⠟⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀
⢸⠀⠀⠀⠸⣀⠀⠀⠈⢉⠟⠓⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⢸⠀⠀⠀⠀⠈⢱⡖⠋⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⢸⠀⠀⠀⠀⣠⢺⠧⢄⣀⠀⠀⣀⣀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⢸⠀⠀⠀⣠⠃⢸⠀⠀⠈⠉⡽⠿⠯⡆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⢸⠀⠀⣰⠁⠀⢸⠀⠀⠀⠀⠉⠉⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⢸⠀⠀⠣⠀⠀⢸⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⢸⠀⠀⠀⠀⠀⢸⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⢸⠀⠀⠀⠀⠀⡌⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⢸⠀⠀⠀⠀⢠⠃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⢸⠀⠀⠀⠀⢸⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠷





⠘⢗⡘⠄⠙⡄⠸⣵⣯⣿⣿⣿⣿⣿⡿⠃⠂⢸
⣶⡯⢳⣆⠄⠄⠄⠄⣍⡛⠿⢿⡿⢋⠄⠄⠄⢜⣿⡿⡟⢿
⣿⠿⣸⠟⠄⠄⠠⡄⠢⣉⣁⢀⣼⣿⡿⢅⣾⣎⠈⠃⠋⢸⣿
⡟⣾⣿⡲⣷⡀⠄⢟⣂⡀⢙⣰⣭⣾⣿⣿⣿⣿⣆⠄⠄⠠⣬⠛⢿
⣿⣿⣿⣿⠈⣧⠠⢈⣿⣿⣿⡿⢿⣿⢰⢟⣯⣷⣿⣿⣿⣿⣷⣶⣤⡉⠻
⣾⣿⣿⠟⠄⣿⣇⠄⠄⢻⣿⣷⣦⣬⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⣿
⠉⠄⠄⠄⢰⣿⣿⡆⠄⠄⠙⢿⣿⣿⣿⣿⣎⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠸
⠄⠄⠄⠄⣿⣿⣿⡇⠄⠄⠄⠄⠙⢿⣿⣿⣿⣧⢹⣿⣿⣿⣿⣿⣿⡿⠃⠄⢀⣿
⢀⠄⠄⠄⣿⣿⣿⡇⠄⠄⠄⠄⠄⠄⠙⢿⣿⣿⠄⣿⣿⣿⡿⠟⠋⠄⠄⢀
⣰⠄⠄⠄⢿⣿⣿⣇⠄⠄⠄⠄⠄⠄⠄⠄⠉⠛⠐⠛⠝⠃⠄⠄⠄⣀
⢻⠄⠄⠄⠈⢿⣿⣿⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣠
⣿⣄⠁⠄⠄⠄⠉⠛⠓⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣠⣾