⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠢⠤⠤⢤⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣯⡵⠚⠉⠉⠉⠒⠒⠒⠒⠀⠠⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣔⣀⣀⣀⣀⡀⠀⠀⠀⠀⣠⡴⢿⣍⠀⠈⠙⠛⠃⠙⠃⠀⠈⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠈⠉⠉⣿⡿⠟⠟⠞⠿⠿⠀⠀⠀⢀⠆⠀⠀⠀⡆⠀⠀⠀⠙⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⣀⣤⠞⠉⣠⠜⠁⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢀⣴⠞⠋⠀⡠⠚⠁⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠙⠷⣄⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢸⡇⢀⣠⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⡆⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡗⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠉⠙⣿⠳⠶⠷⢦⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣴⠶⠾⠛⠉⠀⢠⠼⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠐⠒⠒⠒⠶⠶⣿⠤⢤⣤⣸⣇⣀⡇⠈⠉⠛⠉⢉⡉⠉⠉⠉⢩⠉⠁⠀⢸⡿⠰⢋⣴⠾⠣⣤⠟⠁⠀⠀⠁⠀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠠⠄⠀⣀⣀⠙⣿⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⢢⡀⠀⢠⠆⡼⠀⠀⠀⢸⡇⣰⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⡌⠁⠀⢸⣿⠀⠀⠀⠀⢳⣄⠀⠀⣤⡀⠀⠀⠈⠁⠉⣰⠃⠀⢠⠇⡜⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⡠⠀⠀⢀⣼⡗⢖⠈⠙⠛⠷⠖⢻⡟⠀⠀⢠⠇⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀ ⠀⠀⠀⠒⠒⠤⠉⢼⣿⢈⣠⣤⡲⠛⣹⡷⠐⠂⠀⠀⢀⠀⣼⠃⠀⠠⢋⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢸⣿⠓⠀⢀⠄⠀⢸⠀⠸⡏⠉⠃⢞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⢸⡏⠀⠀⢸⠀⠀⠀⠀⠀⣷⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡈⠉⠉⢹⠟⠃⠀⢿⡈⠀⠀⠀⡆⠀⠹⣷⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⢀⣾⠦⣤⣀⢸⣇⠀⠀⠀⢹⡀⣀⣼⣯⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⡋⠡⠂⠀⠈⠉⣿⠀⠀⠀⣿⣿⣿⠿⣼⣯⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⣿⡀⠀⠀⠀⠀⠸⣇⠀⢀⣿⣏⠀⠀⠀⣿⡟⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠸⡇⠀⠀⠀⡀⠀⢻⣦⡾⠃⠙⠷⠦⠾⢋⡇⠈⢳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣾⡇⠀⠀⠀⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⠈⠛⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠦⠤⣄⣀⣀⣀⠀⠀⠀⠀⠀⣀⣀⣀⣠⠼⠃⠀⢸⠀⠀⠀⠀⠙⠒⠒⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀