⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⡆⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠁⡇⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⠀⠀⡜⠁⠀⡇⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⢀⠀⠀⠀⠀⢸⠎⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⢀⠇⠀⠀⠇⠀⠀⠀⠀⠀⢀⠇⠀⠀⢀⡴⠉⠀⠀⠀⠀⡍⠁⠀⠀⠀⢰⡅⠀ ⠀⠀⠀⠀⠸⡄⠀⢸⠀⠀⠀⠀⠀⠀⡸⠀⠀⢠⠎⠀⠀⠀⠀⠀⣠⢧⠀⠀⠀⠀⠀⣇⠀ ⠀⠀⠀⠀⠀⠉⠓⠛⠀⠀⠀⠀⠀⢀⠇⠀⢠⠇⠀⠀⠀⠀⠀⡴⠁⠈⡄⠀⠀⠀⠀⢸⡀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⡼⠀⠀⣸⠀⠀⠀⠀⢀⠞⠀⠀⠀⣿⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⡰⠁⠀⠀⠋⠀⠀⠀⠀⢊⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⡿ ⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⡇⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⡰⠋⠉⠙⠛⠛⠿⣿⣶⣶⣶⣶⡼⣄⠀⢠⡇⠀⠀⠀⠀⣸⠀ ⠀⠀⠀⢠⠃⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡇⠈⢦⠘⡇⠀⠀⠀⢀⠇⠀ ⠀⠀⠀⡎⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠜⡇⠀⠀⠀⠸⣿⡿⠀⠀⠀⢳⡇⠀⠀⠀⡸⠀⠀ ⠀⠀⡸⠀⠀⠀⠀⡰⠁⠀⠀⡄⣤⡸⣰⡟⡧⠤⡀⠀⠿⠁⠀⠀⠀⠀⢡⠀⠀⢠⠃⠀⠀ ⠀⢰⠃⠀⠀⠀⡼⠁⠀⠀⠀⠈⠋⡷⣷⣿⡟⡡⠋⠀⢸⠀⠀⠀⠀⠀⠀⢇⠀⡼⠀⠀⠀ ⢠⠃⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⢌⡽⠟⢏⣿⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀ ⢻⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠘⠆⠀⠀⡏⠀⠀⠀⠀⠀⠀⢈⣀⠇⠀⠀⠀ ⠈⣆⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⢸⢻⠀⠀⠀⠀ ⠀⢸⢦⠀⠀⠀⠈⠢⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣔⠁⠀⠀⠀⠀⠀⠀⠀⡜⣸⠀⠀⠀⠀ ⠀⣸⡼⠳⡀⠀⣀⡒⠤⣌⣑⣦⣀⠀⡠⢴⠒⠁⠈⠑⠤⣀⡀⠀⠀⢀⡜⡡⣿⠀⠀⠀⠀ ⠀⠙⠃⠀⠱⡈⠳⡬⢉⣉⡒⣾⣟⠃⠀⣸⠀⠀⠀⠀⠀⠀⠉⠀⣠⠿⣊⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠢⣈⣦⠀⠀⠀⠁⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠶⣿⣯⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠁⠋⠛⠀⠀⠀⠀⠀⠀⠀⠀⠎⢠⠀⠀⠀⠃⠛⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠟⣯⣿⠶⠀⠀⠀⠀⠀⠀⠀⠇⢀⠀⠁⠀⠀⠀⣦⣈⠢⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⡼⣊⠿⣠⠀⠉⠀⠀⠀⠀⠀⠀⣸⠀⠃⣟⣾⡒⣉⢉⡬⠳⡈⠱⠀⠃⠙⠀ ⠀⠀⠀⠀⣿⡡⡜⢀⠀⠀⡀⣀⠤⠑⠈⠁⠒⢴⡠⠀⣀⣦⣑⣌⠤⡒⣀⠀⡀⠳⡼⣸⠀ ⠀⠀⠀⠀⣸⡜⠀⠀⠀⠀⠀⠀⠀⠁⣔⢀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠢⠈⠀⠀⠀⢦⢸⠀ ⠀⠀⠀⠀⢻⢸⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠘⠀⠀⠀⣆⠈ ⠀⠀⠀⠇⣀⢈⠀⠀⠀⠀⠀⠀⡏⠀⠀⠆⠘⠀⠀⠀⠇⠈⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⢻ ⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⣿⢏⠟⡽⢌⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠃⢠ ⠀⠀⠀⡼⠀⢇⠀⠀⠀⠀⠀⠀⢸⠀⠋⡡⡟⣿⣷⡷⠋⠈⠀⠀⠀⠁⡼⠀⠀⠀⠃⢰⠀ ⠀⠀⠃⢠⠀⠀⢡⠀⠀⠀⠀⠁⠿⠀⡀⠤⡧⡟⣰⡸⣤⡄⠀⠀⠁⡰⠀⠀⠀⠀⡸⠀⠀ ⠀⠀⡸⠀⠀⠀⡇⢳⠀⠀⠀⡿⣿⠸⠀⠀⠀⡇⠜⠀⠀⠀⠀⠁⡸⠀⠀⠀⠀⡎⠀⠀⠀ ⠀⠇⢀⠀⠀⠀⡇⠘⢦⠈⡇⣿⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠁⡰⠀⠀⠀⠀⠃⢠⠀⠀⠀ ⠀⣸⠀⠀⠀⠀⡇⢠⠀⣄⡼⣶⣶⣶⣶⣿⠿⠛⠛⠙⠉⠋⡰⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀ ⡿⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⢊⠀⠀⠀⠀⠋⠀⠀⠁⡰⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⣿⠀⠀⠀⠞⢀⠀⠀⠀⠀⣸⠀⠀⡼⠀⠀⠀⠀⠀⠃⢰⠀⠀⠀⠀⠀⠀ ⡀⢸⠀⠀⠀⠀⡄⠈⠁⡴⠀⠀⠀⠀⠀⠇⢠⠀⠇⢀⠀⠀⠀⠀⠀⠛⠓⠉⠀⠀⠀⠀⠀ ⠀⣇⠀⠀⠀⠀⠀⢧⣠⠀⠀⠀⠀⠀⠎⢠⠀⠀⡸⠀⠀⠀⠀⠀⠀⢸⠀⡄⠸⠀⠀⠀⠀ ⠀⡅⢰⠀⠀⠀⠁⡍⠀⠀⠀⠀⠉⡴⢀⠀⠀⠇⢀⠀⠀⠀⠀⠀⠇⠀⠀⠇⢀⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠎⢸⠀⠀⠀⠀⢀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⡇⠀⠁⡜⠀⠀⠀⠀⠀ ⠀⠀⡇⠈⠀⠀⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⡇⠁⡴⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡆⠰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀