⠀⠀⠀⠀⠀⠀⠰⢀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡄⡀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠠⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠠⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠀⡄⠀⠀⠰⠁⠀⠈⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡘⠀⠀⠀⢠⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠀⣄⠹⡟⠁⠀⠴⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⡀⢀⠀⢹⠁⢀⣠⣭⣽⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⡠⢤⣄⠋⠠⠀⠎⠀⠈⠁⠂⢈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠔⠁⢀⢄⣽⣿⡘⡁⣶⣵⢀⣠⣶⣦⣦⣬⠧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠊⢀⡀⢼⣻⣿⣿⢃⠻⣺⣵⣩⡞⢽⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡽⠪⢿⣾⣿⣿⣿⣿⣿⢸⡻⣼⣾⣿⣶⠼⣿⣥⡟⠉⣢⠀⠀⠀⠀⠀⠀
⠀⠀⡘⠙⡲⣾⡿⣿⣿⣿⣿⠷⡿⢋⣱⣽⣿⣹⣿⣺⣿⠀⠀⢾⡄⠀⠀⠀⠀⠀
⠀⢠⠙⢢⢾⣿⡿⠟⠃⠁⠀⢹⡮⡽⣶⣟⣛⡿⣾⣿⡽⠀⠀⢳⣿⠀⠀⠀⠀⠀
⠀⡼⡶⠆⡟⠃⠀⠸⣦⡀⢂⣰⣿⣿⣿⣿⡿⢝⢹⣿⣿⠀⣸⢼⣿⡇⠀⠀⠀⠀
⣶⠛⢄⢸⢠⣀⣰⣦⣿⣷⣾⣿⣧⠰⡿⢷⡮⢼⣬⠿⡝⡏⡉⣽⣻⡷⠀⠀⠀⠀
⡯⣜⣑⣹⣯⣿⠟⣽⣿⣿⣿⡏⣉⣿⣿⣿⣟⣿⡇⠈⣨⠙⠈⣙⣿⣿⠄⠀⠀⠀
⠙⠛⠋⠋⠉⠁⢠⣾⣿⣿⣿⣿⣿⣮⣿⣶⣿⣿⣿⣌⡟⠀⠀⠙⡅⠈⢧⠀⠀⠀
⠀⠀⠀⠀⠀⣠⠟⠉⠻⢿⢿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣷⣶⣦⣃⣷⣠⣹⠀⠀⠀
⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠈⠫⢹⣿⣿⣿⣿⣿⣿⣿⠻⠿⠻⠿⠿⠀⠀⠀
⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠐⠀⠘⢻⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀