⠀⠀⠀⠀⣿⣿⣿⣦⣤⣤⣀
⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣶⣾⣿⡇
⠀⡀⠀⣼⠛⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢀⣤⣤⡀⠀⣀⡀
⠀⠣⡀⣿⣄⠣⠃⢻⣿⡿⢛⢛⠻⣿⠏⠀⠀⠀⢿⣿⣿⣷⣿⣿⣿⡆
⠑⠤⣈⠽⣿⣿⣿⡿⢿⣤⣈⣁⣰⡿⠀⠀⠀⠀⠈⠻⣿⣿⣿⠿⠛⠁
⠑⠒⠒⠒⠉⣻⣿⣿⣿⣿⣿⣿⠿⠤⠤⢊⣀⣀⠀⠀⠙⠟⠁
⠀⠀⠀⠀⢰⣿⣿⣿⡏⠀⠘⢄⠉⠒⣲⣿⣿⣿⣿⡄⠀⠀⠀⢿⣦⣿⡄
⠀⠀⠀⠀⣿⣿⣿⣿⣿⣄⠀⠀⠉⠒⣿⣿⡛⢿⣿⣿⠀⠀⠀⠀⠟⠉
⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠹⣿⡿⢸⣿⣿⠀⢠⣶⣦
⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⣼⣿⡏⠀⠸⣿⣿⣾⣿
⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢀⣼⣿⡿⠀⠀⠀⠟⠛⠉⠁
⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⠟⠀⣠⣀⣄
⠀⠀⠀⠘⠛⣿⡿⢿⣿⣿⣿⣿⡿⠿⠛⠋⠁⠀⠀⠙⢿⠋

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣚⣥⣤⠀⠀⢀⡷⠔⠒⠒⠲⠦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⢎⣾⣿⠟⠁⡠⠖⣡⣶⣶⣶⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⡔⣱⣿⠟⠁⡠⠊⣠⣾⣿⡿⠟⠁⠀⢀⠌
⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠉⠀⠘⠛⠛⠁⠀⣀⠤⠚⠁
⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠁
⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱
⠀⣰⠁⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹
⢰⠃⠀⠀⠛⠁⠐⠂⠀⣿⡗⠀⠀⠀⠀⠀⠀⠀⢹
⠈⢧⣠⣾⣷⣦⣠⣶⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⡇
⠒⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡰
⠀⠀⠈⢿⣿⣿⣿⣿⣯⡉⠉⠉⠒⠲⢤⡔⠁
⢀⠔⠁⠈⠻⣿⣿⡿⡋⠉⠓⠦⡄⠀⠀⠉⢫⠉⡆
⠀⠀⠀⠀⠀⡐⠀⠀⠀⠈⢢⠤⠤⠜⠀⠀⠀⠀⡗⠁
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢇⠀⡖⠒⠒⠤⣀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁