⠀⠀⠀⠀⠀⠀⠠⠤⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠠⡿⠶⠿⣾⠀⠀⢀⢀⠀⣀⠄⠄⣐⣀⡬⠟⠃⠋⠓⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠋⣴⡿⣆⢠⡀⢈⣳⣧⠾⠛⠋⠉⠀⠀⠀⠀⠑⠄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢄⡻⡿⡿⠻⣿⣷⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠜⣧⠒⠁⡠⢿⢇⠣⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡿⡀⢤⠔⢹⣿⣾⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣿⣉⣠⣤⣼⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡿⠋⠩⠉⠉⠙⡛⠛⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠱⣾⣆⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣬⣻⢡⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣿⢿⡟⡄⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣹⡷⡅⣧⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠱⣿⣲⢾⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⢸⣷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢹⡛⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⢀⣀⣀⣀⣀⣘⡳⣏⣿⣀⣀⣀⡀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠀⠀⠀⠀⡀⠀⣀⣤⣼⣿⣿⣿⡤⣶⣶⣶⡶⠦⠤⠤⠤⠤⠤⠴⡶⠶⠶⠶⠶⠶
⠀⠀⠀⠰⠜⠠⠌⠤⠁⠄⠈⠄⠀⠀⠡⠀⠀⠄⠄⠢⠠⠠⠈⠅⠣⠜⠠⠁⠀⠀