⠀⠀⠀⠀⠀⠀⠀⢠⡴⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣖⣛⣉⡽⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⠀⣼⠲⠦⣬⣻⣝⣦⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠀⣻⠀⠀⠀⠀⠀⢧⠀⠀⠀⠨⠙⠻⣿⣦⢸⠟⢦⡀⠀⠀⢀⣽⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠘⣯⠀⠀⠀⠀⠀⠘⣧⠂⠑⠃⠀⣴⠿⠚⠛⠀⠀⠙⠚⠒⠚⠻⠖⠒⢿⠛⠛⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠘⠃⠀⠀⠀⠀⠀⠀⣈⣧⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⢄⣀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣽⣦⡄⠀⠀⠀⢠⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣠⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⣧⣀⠀⠀⠧⠀⡐⠀⠀⠁⠈⠐⠀⠉⠁⠀⡄⠀⠀⢘⣻⣆⡈⠹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⡍⢹⠇⠀⠀⠀⠻⣄⣠⡤⢶⢤⣄⣀⣠⡇⠉⠒⠀⠈⠉⣨⠿⣤⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠁⣏⣠⡄⠀⠀⠀⠀⡏⠀⠺⠀⠀⢸⠀⠀⣄⠀⠀⠰⣟⠁⣠⠟⠀⠘⡗⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡃⠀⠀⠀⠀⠀⠈⠀⠀⠳⠤⣤⣤⠴⠫⠦⡞⠙⠦⣄⡀⣻⠀⡏⠀⠀⠀⣧⣄⡀⠉⠓⢦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⣿⠀⠀⠀⣇⠈⠙⠲⣄⠀⠈⠳⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⣠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⡤⠿⠀⠀⣼⠃⠀⠀⠀⠈⢷⡀⠀⠈⢷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⠉⠀⠈⠳⢄⣀⢾⠢⠖⠒⣄⢀⢀⢠⣤⣀⣤⠞⠁⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠈⢷⠀⠀⠈⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣄⠀⠀⠀⠈⡎⣀⣀⣀⣀⠉⠑⣯⠀⠀⠀⣠⣀⡤⠶⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠘⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠶⣤⡩⠛⠳⡦⣦⠭⡉⠉⣀⡤⠾⠋⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠾⠃⠙⠶⠞⠋⠁⣀⣀⠤⠤⠤⠴⠶⢶⣖⡒⠒⠓⠛⠉⠀⠀⠀⠀⡠⠆⣶⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⢀⣡⠞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣀⣤⣤⣤⠤⠶⠖⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠄⠀⠀⠠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀