⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡠⣶⣶⣦⣤⡀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⡀⡀⡀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⡢⣢⣿⣿⡿⡊⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀
⡂⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⣢⣦⣪⣢⡊⡻⡂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂
⡀⠂⡀⠂⡀⠀⡀⠀⡀⠀⡀⠀⡀⠂⡀⠂⣾⣻⣺⡺⣺⡾⠂⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀
⡀⠂⡀⠀⡀⠀⡀⠀⡀⠀⡀⠂⡀⠂⡀⣺⣾⣺⣮⣪⣺⡃⠀⠀⡀⠂⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀
⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⣠⣿⣾⣺⣾⣿⡊⠀⠀⠀⡀⠂⡀⠂⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠀⡀⠂
⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⣾⣿⣾⣺⣾⣿⡆⠀⠀⠀⡀⡂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂
⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡪⣿⣿⣾⡺⣾⣿⡆⠀⡀⡂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠀⡀⠀⡀⠂⡀⠂⡀⠂
⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⣺⣿⣿⣿⡺⣾⣻⡂⠀⡀⡂⡀⠂⡀⠂⡀⠂⡀⠀⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂
⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡺⣿⣿⣾⡪⣾⣺⡀⠀⡀⡂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂⡀⠂
⡂⡂⡂⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡊⣿⣿⣿⣪⣾⡪⡀⠂⡀⡂⡀⡂⡀⠂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂
⡢⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⣺⣿⣿⣺⡺⡂⡠⡂⡂⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡀⡂⡂⡂⡂⡂⡂⡂
⡢⡂⡢⡂⡢⡂⡢⡂⡂⡂⡂⡂⡂⡂⣺⣻⣿⣿⣢⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂
⡢⡂⡢⡂⡢⡂⡢⡂⡢⡂⡂⡂⡂⣪⣺⡺⡪⡊⣾⣮⣢⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡂⡢⡂⡢⡂
⡢⡂⡢⡂⡢⡂⡢⡂⡢⡂⡢⡂⡪⡊⡪⡊⡪⡊⡪⡊⡫⡋⡪⡊⡢⡂⡢⡂⡢⡂⡢⡂⡢⡂⡢⡂⡢⡂⡢⡂⡢⡂