⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠤⠒⠒⠒⢤⣀⣀⣠⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠂⣿⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⢀⡠⠴⣦⠋⡀⠀⠀⠀⠀⠀⠀⢠⠀ ⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣎⠁⣏⣠⡞⠁⡸⡇⠀⠀⠀⠀ ⠀⠀⠘⣇⠀ ⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡹⠉⠙⠿⠃⠀⡇⡇⠀⠀⠀⠀⠀⠀⢠⢿⠀ ⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⡀⡇⠀⠀⠀⡇⡇⠀⠀⠀⠀⣶⠀ ⢸⠀⠀ ⢸⠀⡾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡇⣧⠤⠤⠤⠇⠧⠤⠤⠤⠤⠿⠤⠼⠀⣧⣀⣸⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⡇⣗⢲⣶⣶⣶⣶⠒⠀⠀⠀⠐⣶⣶⣶⣶⣖⢺⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡾⡇⠻⢾⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢾⢠⢣⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡇⢸⡈⠛⠿⠟⠋⠀⠀⠀⠀⠀⠉⠻⠿⠟⠁⡞⢸⡸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣷⠸⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⢼⡇⢸⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢻⠀⡇⠀⠉⠒⠤⢄⣈⣉⣁⣀⠤⠖⠊⠁⢸⡇⣼⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⢇⠀⠀⠀⢀⣴⣿⣦⣾⣦⡀⠀⠀ ⠀⢸⠀⡿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⢸⠀⠀⢠⡎⢸⣿⣿⣿⣷⢸⣆⢀⡀⡞⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⡇⢸⡄⠀⡎⣇⣸⣿⣿⣿⣿⣨⠟⣼⣧⡇⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⢸⡇⠈⡇⣸⠘⡏⢸⣿⣿⣿⣿⢈⡇⢿⢹⡇⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠤⠤⠞⠳⠤⠷⠇⢰⢻⣼⣿⣿⣿⣿⡞⢇⠸⡸⠤⠾⠤⠤⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⡜⠀⣿⣿⣿⣿⣿⠁⢸⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀