⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠖⠲⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣄⣀⠀⠠⠚⠋⠀⠁⠈⠙⣢⡤⠖⡄⠀⠈⠉⠛⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⡾⢷⢦⡀⠀⠀⠀⣠⠾⠉⠀⠀⣿⠀⠀⠀⢀⣠⣶⣥⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠿⠿⣿⣿⢿⣀⠉⢶⡀⣸⣿⡀⠀⠀⠀⣹⡆⠀⢸⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣗⣷⣾⣾⣿⣗⣷⠞⠀⣹⣿⠃⠀⠀⠀⠈⣧⠀⠉⣿⣿⣿⣿⣿⣻⢿⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣾⣿⣆⣠⡟⠂⠀⠀⠀⠀⠀⢸⠀⣤⢿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀ ⠀⠀⠀⠀⡠⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠘⣾⣿⣿⢿⣿⣿⣿⣿⣧⠤⠀⠀⠀ ⠀⠀⠀⡼⠁⣸⣿⣿⣿⡟⠋⠁⣽⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⡿⠀⠈⠙⣻⡿⡦⠀⢰⠀⠀ ⠀⠀⣼⠁⢀⣽⠿⠛⠉⠀⠀⠰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠠⠤⡀⠀⣇⠀ ⠀⢰⠇⠀⣺⠿⠋⠀⠀⠀⠀⠀⠀⠀⠈⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠼⡄ ⠀⡾⠀⠀⠀⣁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢦⣄⢀⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠘⡇⠀⠀⠀⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠸⢶⣦⢩⢠⣷⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣙⣾⣏⣽⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⣏⠀⠀⠀⠀⠐⠲⢀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠍⠀⠀⠀⠀⠀⠀⠀⢀⠤⠐⠀⠀⠀⣼⠀ ⠀⢸⡀⠸⡆⠀⠀⠉⠀⠿⢏⡷⡆⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⣀⠰⢉⡁⡀⠀⠀⢀⡏⠀ ⠀⠈⣷⠀⠳⠀⠠⠐⡁⡖⢠⡉⡙⠶⢀⡀⢤⠀⠀⠸⢦⠀⠀⠀⠀⣀⣠⣤⠄⠉⠳⠄⠀⢼⠁⠀ ⠀⠀⠘⢧⠀⠇⢀⠁⡒⢌⡩⢳⣧⣣⢿⣷⢸⡆⠘⣆⠀⢳⡀⢧⣿⣿⣿⣆⠱⣀⠀⠀⠀⣼⠀⠀ ⠀⠀⠀⠀⣰⣦⡐⣦⣍⢲⠥⣿⣻⣿⣿⣿⣿⣿⣲⣯⣤⣿⣶⣿⣿⣿⣿⣿⣆⡿⠀⡀⢠⡟⠀⠀ ⠀⠠⠤⠤⠽⠭⢤⢶⣿⣮⣿⣏⣿⣹⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣷⡿⣝⣶⡷⠞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⣉⠉⠉⠀⠀⠀⠀⠀⠀