⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠋⠀⢰⠎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢠⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣀⣾⢳⠀⠀⠀⠀⢸⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡤⠴⠊⠉⠀⠀⠈⠳⡀⠀⠀⠘⢎⠢⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀
⠳⣄⠀⠀⡠⡤⡀⠀⠘⣇⡀⠀⠀⠀⠉⠓⠒⠺⠭⢵⣦⡀⠀⠀⠀
⠀⢹⡆⠀⢷⡇⠁⠀⠀⣸⠇⠀⠀⠀⠀⠀⢠⢤⠀⠀⠘⢷⣆⡀⠀
⠀⠀⠘⠒⢤⡄⠖⢾⣭⣤⣄⠀⡔⢢⠀⡀⠎⣸⠀⠀⠀⠀⠹⣿⡀
⠀⠀⢀⡤⠜⠃⠀⠀⠘⠛⣿⢸⠀⡼⢠⠃⣤⡟⠀⠀⠀⠀⠀⣿⡇
⠀⠀⠸⠶⠖⢏⠀⠀⢀⡤⠤⠇⣴⠏⡾⢱⡏⠁⠀⠀⠀⠀⢠⣿⠃
⠀⠀⠀⠀⠀⠈⣇⡀⠿⠀⠀⠀⡽⣰⢶⡼⠇⠀⠀⠀⠀⣠⣿⠟⠀
⠀⠀⠀⠀⠀⠀⠈⠳⢤⣀⡶⠤⣷⣅⡀⠀⠀⠀⣀⡠⢔⠕⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠫⠿⠿⠿⠛⠋⠁

⢀⡴⣶⣿⡄⠀⠀⠀⠀⠀⠀⠀⡤⠞⠉⢳⠀⠀⠀⠀
⢀⡇⠘⠋⠓⣆⠀⠀⠀⣀⣠⠞⠀⢀⣴⣫⠶⠚⠛⣷
⣿⠀⠒⠘⣠⡾⢀⡴⠋⠉⠀⠀⠀⠉⠋⠁⢀⣠⠶⠃
⠈⠙⣏⣿⢧⢿⡏⠀⠀⢠⠄⠀⠀⠀⠀⠀⢻⡀⠀⠀
⠀⠀⠉⠘⣟⣾⡄⠀⠀⠀⠈⠓⠘⠃⣀⠀⢈⡇
⠀⠀⠀⠀⢿⠉⠛⠦⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀
⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠘⠋⠉⢙⡆⠀⠀
⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⡤⠖