⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⡥⠌⣙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠁⠈⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠈⠲⢄⡻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⣧⠀⠀⠀⠈⠳⡈⢷⡀⠀⠀⠀⠀⠀⢀⡞⡕⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡼⡄⠀⠀⠀⠀⠁⠈⢷⡄⠠⢤⣄⣀⡞⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣝⣄⠀⠀⠀⠀⢁⠘⡆⠀⠀⠀⣸⢁⠆⠀⠀⠀⠀⠀⣴⡋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠋⠘⢿⣆⠀⡄⠀⢨⡀⢷⠀⠀⠀⡏⡰⠀⠀⠀⠀⠀⡼⠋⠻⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠈⢻⣦⡀⠳⣄⠁⢸⣀⠀⣸⣇⠃⠀⠀⠀⣠⡞⠀⠀⠀⠈⠛⣦⣄⠀⠀⠀⠀ ⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠹⢦⡀⠀⠀ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀ ⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⡘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀ ⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⣿⣿⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠈⠛⠛⠿⠀⠀⣀⠀⠀⠀⠸⣿⠛⠁⢙⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⢷ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⡀⠀⠀⠙⣿⠃⠀⠀⢀⣄⣶⣿⡉⢻⡟⠀⠀⠀⠀⠀⠀⠀⢸ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⣀⠀⠀⠈⠒⠔⠊⠉⠛⣲⠶⡋⢂⡷⣧⣑⢾⡇⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⢀⣀⣞⡁⠤⢄⡾⣱⠛⠉⢈⡇⠀⠀⠀⠀⠀⠀⠀⡾ ⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠀⠀⠀⠀⠀⢲⠈⣿⣘⣿⠂⡼⣱⠏⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⢰⠇ ⠀⠀⢷⡀⠀⠀⠀⠀⡠⢄⣀⠀⢹⡆⠀⠀⠀⢀⣼⠺⠿⢿⣿⣸⢣⠿⣄⠘⠋⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀ ⠀⠀⠈⢳⡄⠀⠀⠀⢷⠀⠈⣥⡟⠀⠀⠀⠀⠈⠁⠀⠀⠀⠈⠛⠏⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀ ⠀⠀⠀⠀⠹⣆⠀⠀⣿⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣄⣸⡀⠀⡇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠾⠛⠻⣦⡙⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠻⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⣀⣤⠖⠋⠁⠀⠀⠀⠈⠙⠦⣄⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢰⡋⠀⠀⠀⠀⠀⠀⠉⠳⢦⣀⠀⠀ ⠀⢸⠻⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣀⣸⡄⣀⡷⢺⣧⣀⣸⣆⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠀ ⠀⢸⠀⠀⠀⠉⠙⠲⡄⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⡄⠀⠀⠀⠀⠀⢸⠀ ⠀⠘⠷⢶⣤⣀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⠀ ⠀⠀⠀⠈⠛⠛⠛⠶⠧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠴⠖⠋⠉⠀⠀⠀⠀