⠀⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣟⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣫⣽⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⣿⢻⣿⣿⣿⡦⢀⡀⢰⠀⠀⠀⠀⠀⠠⢖⡹⣯⣿⡿⣿⣿⣹⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡿⣘⣿⡫⡕⢂⠔⣘⢤⣄⡤⡄⡤⡀⣀⡀⠈⠻⣭⠍⣂⣈⣿⣿⣧⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣟⣴⣯⣽⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣮⡔⢛⢿⣿⣯⢥⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣯⡝⣎⣛⡛⢿⢌⠀⠁⠈⠻⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⢿⣹⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣻⠟⠀⢤⢃⣦⠠⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣟⣻⣿⣿⣿⣷⣿⣿⣿⡿⣞⢻⣧⣽⡿⠿⣚⣡⣴⡶⠶⠲⣄⣒⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⠿⣿⣿⣿⣛⡣⠍⠾⠂⠀⠈⠐⠻⡟⠙⡟⠁⢠⠑⢨⢹⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⢯⣿⣯⣤⣤⣾⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠸⡰⠁⠀⠰⢈⠶⡥⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣟⡟⣾⡹⡞⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⢂⣀⡠⠞⠁⠀⢀⢁⡆⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣯⠜⠠⢁⠀⢠⡙⠻⠛⣻⣯⣶⠾⠶⠛⠋⠉⠀⠀⠀⠀⢄⣿⡞⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⢅⡀⠂⠀⠀⠀⠺⠏⠁⠀⠀⠀⠀⠀⠀⢀⠀⡄⢡⢺⣾⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠑⢦⣄⣠⡀⠀⠀⠀⠀⠠⢀⠌⠄⠒⢀⢯⣿⣿⡟⢇⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⡝⣶⢤⣀⠀⠁⠀⠠⠘⡄⣾⣿⣿⣳⣽⢊⠄⠢⠁⠢⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⣭⣚⢇⠀⢀⠡⡚⣼⣿⡟⣶⢯⡗⣩⠎⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣦⣰⢂⣽⡟⣦⢻⡵⣯⢼⣿⢳⡄⠀⠀⠀⠀⠀⠈⠂⠄⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢿⣧⣿⣽⣮⠷⣹⢮⡿⣎⠷⡰⠀⠀⠀⠀⠀⠀⣠⣴⢿⣻⢯⣟⣶⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣸⣯⣻⣿⣿⣿⣿⣿⣷⢫⠧⣟⡼⣍⠣⡑⡩⠄⠀⠀⣰⣿⣻⣞⣯⣟⣯⢿⣾⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⢹⢣⢻⣿⣿⣿⠿⣏⢯⣏⢾⣡⢟⣄⣃⢄⣡⡀⢄⢸⣿⣷⣻⢾⣳⡿⣾⢿⣳⣿