⠲⠤⠀⠀⠠⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⣦⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠻⡄⠀⠀⢸⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢄⣷⠀⠀⠀⢨⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠛⣷⣦⣀⣸⢻⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢈⠜⠛⠻⠻⣿⣶⣰⣀⡼⢂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢠⡙⣿⣿⣿⡥⠎⢳⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣩⢻⣿⣿⣿⣷⡾⣽⣞⣄⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣧⣷⣯⣿⣶⡿⠶⣷⡄⡾⠘⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣤⣾⣷⡿⣿⣛⣿⡿⠛⣏⢒⢔⠉⢙⡇⠀⠀⢡⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⡻⣿⡻⡏⣡⠊⡝⣄⢰⠁⠅⠀⠈⢱⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢺⣿⢾⣟⠎⣶⢆⢏⣀⠸⡶⠰⠀⠈⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣸⣻⣫⣿⣿⣦⢏⣁⣩⣧⣃⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢩⡿⠿⣿⣭⣟⣿⣿⢿⣷⡶⣦⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡠⢂⠪⢊⡙⡉⠻⢻⢯⣿⣿⣿⣷⢧⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢁⢎⠐⢠⠁⠬⠺⡩⠏⣷⣵⣯⣧⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠀⠀⠀⠘⢜⠀⠏⣵⢡⣔⡭⣿⣿⣾⠇⠀⠀⠄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠐⠤⢶⣒⣿⣷⣿⣧⡀⠠⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢉⢟⣻⣽⣿⣳⢆⣿⠀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢙⡟⢙⠭⢻⣿⣿⣿⡿⠏⢹⡷⣦⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⢠⡇⠀⠘⢩⣏⡛⠀⠀⠀⠈⠈⠱⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠃⠀⡀⠀⠈⢻⣥⠂⠀⠀⠀⠀⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠛⠒⠃⠀⠀