⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⡏⢢⡁⠂⠤⣀⣀⣀⣀⣀ ⠤⠐⢈⡔⢹
⠀⠀⠀⠀⢿⡀⠙⠆⠀⠉⠀⠀⠀⠀⠉⠀⠰⠋⢀⡿
⠀⠀⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠁
⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹
⣰⠊⠉⠉⠉⡇⠀⠢⣤⣄⠀⠀ ⣠⣤⠔⠀⢸
⠙⠓⠒⢦⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎
⠀⠀⠀⠀⡇⠀⠀⠏⠑⠒⠀⠉⠀⠒⠊⠹
⡎⠉⢹⠀⠙⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⡏⠉⢱
⢧⡈⠛⠉⠉⠀⠀⣠⠀⠀⠀⠀⠀ ⠀⠀⣄⠀⠉⠉⠋⢁⡼
⠀⢉⣿⠖⠚⠛⢋⢀⠀⠀⠀⠀⠀⠀⠀⡀⡙⠛⠓⠲⣿⣄
⠀⢸⡇⠀⠀⠀⡞⠁⠈⡃⠀⠀⠀⠀⢘⠁⠈⢳⠀⠀⠀⢸⡇
⠀⠈⢷⣄⠀⠀⠙⠦⠌⠑⠢⠤⠔⠊⠁⢠⠎⠀⠀⣠⡾⠁
⠀⠀⠀⠈⠛⠲⠤⣤⣀⣀⣀⣀⣠⣤⣚⣡⠤⠖⠛⠁

⠀⢰⠉⠉⠒⠲⢄⠀⢿⣿⣿⠿⠿⣿⣿⡿⠀⡠⠖⠒⠉⢱
⠀⢸⠀⣿⣷⣦⠀⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠁⣴⣾⣿⠀⡇
⠀⢸⠀⢿⡿⠋⢀⠤⠄⠀⠀⠀⠀⠀⠀⠠⠤⡀⠙⣿⡿⠀⡇
⠀⠸⡇⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⢸⣇
⢠⠏⠀⠀⠀⠐⢤⣠⣤⡀⠀⠀⠀⠀⢀⣤⣄⡤⠂⠀⠀⠀⢹⡄
⠈⣧⠀⠤⣀⠀⢿⣿⣿⡇⠀⠀⠀⠀⢿⣿⣿⡇⣀⠤⠀⢀⡟
⠀⠈⢳⠩⠭⠀⠀⠉⠉⠀⠀⠺⠗⠀⠀⠉⠉⠀⠭⠍⣠⠎
⠀⠀⠀⠘⠷⣄⣀⡀⠀⠀⠑⠊⠑⠊⠀⠀⢀⣀⡤⠞⠁⢾⣧⣼⡷
⠀⠀⠀⠀⠀⡔⠉⠙⠛⠛⠻⠿⠿⠟⠛⠛⠉⠉⢢⠀⠀⠀⠙⠋
⠀⠀⠀⠀⠀⠈⠒⠒⡏⠀⠁⠈⠁⠈⠀⠹⡒⠒⠉
⠀⠀⠀⠀⠀⠀⠀⡰⡁⡁⡁⡁⡁⡁⡁⡁⣣
⠀⠀⠀⠀⠀⠀⠀⠧⡤⠤⢤⣤⣤⡤⠤⢤⠼
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣀⡸⠁⠈⢇⣀⠎

⢰⠉⠑⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠸⢄⠀⠀⠀⢢⠀⢀⣠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠰⣄⠀⠀⠀⠀⣷⠃⢀⣀⣽⣆⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢇⠉⠀⠀⠀⣿⠀⣿⣿⣿⣿⣴⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⢇⡀⣀⡠⢿⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠔⠒⠒⠒⠲⢤⡀⠀
⠀⠀⠀⠀⠉⠁⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢀⡠⠃⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⡿⠿⠛⡁⠀⠀⠠⢀⣀⣉⠏⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢄⡀⠔⠒⠉