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