⠀⠀⠀⠀⠀⠀⡴⠋⢹⡏⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⠏⠀⠀⠘⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢧⣀⡠⠤⠞⠙⠢⣄⠀⣇⣀⡟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⡅⠀⠀⠀⠀⠀⠈⠩⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢠⣞⣿⠽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡜⠋⠈⠀⢐⢑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣝⣦⣤⠄⡖⢫⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡾⠽⠉⠀⠀⢘⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢐⡇⠄⠀⠀⠀⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⢛⣌⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣷⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⣿⡆⠀⣿⡤⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡎⠉⠁⢉⣳⣼⠅⠀⠀⠑⡄⠀⠀⠀⠈⠀⠀⠀⠠
⢸⠁⠀⠀⠀⠀⢮⣷⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀
⠸⣄⣀⣀⣀⣱⠓⠍⠝⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⡴⢹⠙⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣸⠀⠘⠀⢸⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⡧⢤⣤⣤⠴⢻⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀
⠀⠀⣀⠤⢄⣰⠀⠀⠀⠀⣸⠂⠉⠲⡄⠀
⠈⣹⠁⠀⠀⠈⣧⠀⠀⠘⠊⠀⠀⠐⢺⠂
⠐⢻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠒
⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢱⠋⠀
⠀⠀⠈⠻⠦⠴⡤⠒⠈⠀⠒⠒⠚⠧⠀⠀
⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠿⠇⠉⠻⣿⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣆⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠻⣿⣶⣶⣾⡿⠟⢿⣷⣶⣶⣿⡟⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⡏⠉⠁⠀⠀⠀⠀⠉⠉⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀
⠀⠀⢀⡇⠀⠀⣿⡇⠀⢀⠀⠀⠀⠀⠀⠀⣿⡇⠀⢸⠀⠀⠀
⠀⠘⡆⠀⠀⠀⣿⡇⠀⠀⢣⠀⠀⠀⢯⡀⣿⡗⢏⠀⠀⢠⠒
⠒⠒⡕⠄⡀⠀⣿⡇⠀⠀⣸⣿⠀⠀⠐⠆⣿⡇⠀⠓⡤⠈⡆

───────────█░░░░░░▒▒▒█▒█
──────────█░░░░░░▒▒▒█▒░█
────────▄▀░░░░░░▒▒▒▄▓░░█
───────█░░░░░░▒▒▒▒▄▓▒░▒▓
──────█▄▀▀▀▄▄▒▒▒▒▓▀▒░░▒▓
────▄▀░░░░░░▒▀▄▒▓▀▒░░░▒▓
───█░░░░░░░░░▒▒▓▀▒░░░░▒▓
───█░░░█░░░░▒▒▓█▒▒░░░▒▒▓
────█░░▀█░░▒▒▒█▒█░░░░▒▓▀
─────▀▄▄▀▀▀▄▄▀░█░░░░▒▒▓─
───────────█▒░░█░░░▒▒▓▀─
────────────█▒░░█▒▒▒▒▓──
─────────────▀▄▄▄▀▄▄▀─

⢰⡿⠋⠁⠀⠀⠈⠉⠙⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣿⠇⠀⢀⣴⣶⡾⠿⠿⠿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⣀⣀⣸⡿⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⣾⡟⠛⣿⡇⠀⠀⢸⣿⣿⣷⣤⣤⣤⣤⣶⣶⣿⠇⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀

⢀⣿⠀⢀⣿⡇⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⠿⣿⡏⠀⠀⠀⠀⢴⣶⣶⣿⣿⣿⣆

⢸⣿⠀⢸⣿⡇⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣿⡇⣀⣠⣴⣾⣮⣝⠿⠿⠿⣻⡟

⢸⣿⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠉⠀

⠸⣿⠀⠀⣿⡇⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀

⠀⠻⣷⣶⣿⣇⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣛⣛⣻⠉⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢸⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢸⣿⣀⣀⣀⣼⡿⢿⣿⣿⣿⣿⣿⡿⣿⣿⡿