⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠶⠶⣄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣀⣀⡀⠘⠻⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢣⣄⠘⢳⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠾⢛⠛⣛⡟⠀⣿⠀⠀⠀
⠀⠀⠀⢀⡠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⢀⡦⠟⠛⠛⠛⢦⡃⢸⡇⠀⠀
⠀⠀⠀⣾⠓⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀
⠀⠀⠀⣿⢧⡄⠙⠛⢦⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡼⢻⡄⠀⠸⣁⠹⡀⠀
⠀⠀⠀⠛⣿⣿⠤⠜⠛⠛⠒⢢⣤⠤⠖⠚⠛⠀⣉⣈⣀⡼⠂⠀⠀⢫⡄⢳⡄
⠀⠀⠀⠀⢹⡏⣜⣢⠀⠀⠀⠈⠉⢀⣤⣴⣶⣾⣿⣿⠟⠁⠀⠀⠀⢸⣇⢸⡇
⠀⢀⣀⡾⣯⡅⠙⠋⢁⡠⣤⡤⠐⢺⣿⣿⣿⠯⠟⠁⠀⠀⠀⠀⣸⠯⡙⡾⠃
⢠⢟⣩⡕⣏⣡⠄⠀⠾⣧⠿⠃⠀⠈⠉⠛⢯⡀⣀⡠⠤⢤⡤⣒⣏⣼⠝⠁⠀
⠀⠈⠉⠙⠚⠑⢤⣄⣀⣀⠀⢀⣶⡀⣤⡀⠀⢹⣉⠁⠀⠀⠀⠉⠙⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⢹⡯⣐⠪⢩⡕⠛⠑⠒⣤⣿⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣼⢱⠒⠋⠉⠀⠀⠀⠀⠀⣄⣤⣤⣄⠀⠀⠀⢸⣇⠀⠀
⠀⠀⠀⠀⢀⣴⠒⠚⣅⣚⣿⣶⣠⠀⠀⠀⣶⡿⠿⣿⣿⣿⣷⣤⡄⠀⠘⣧⠀
⠀⠀⠀⠠⡼⢳⣰⡾⠞⠋⠀⠈⣿⠀⢀⡴⠋⠀⠀⢸⣿⣿⠋⠀⢸⠁⠀⣿⠀
⠀⠀⠀⠈⢻⣦⠏⠀⠀⠀⠀⢰⠉⠀⣶⠁⠀⠀⣠⣾⣿⡟⠁⢠⡟⠁⢰⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡆⢰⠋⠀⠀⠀⠉⠉⠉⠀⠀⠈⠑⢳⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡤⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀