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