⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡴⡤⣲⣾⣿⣗⡀⠀⠀⠀⠀⣠⣾⣿⣿⣽⣿⣟⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠋⢳⣧⣫⣿⣿⣗⠀⠀⣀⣶⣿⣿⣿⣿⣿⡺⢽⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣿⣿⣿⣯⣿⠏⣤⣾⣿⡟⢽⢛⢯⣫⡕⢍⢬⢪⡺⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⣿⣶⢟⣿⢟⢰⣿⣿⣯⠃⠄⡢⠹⣓⡭⢯⢧⡝⡷⣛⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠰⣿⣿⣏⡼⡣⢫⣿⣿⣿⠆⡐⡕⣣⠕⡭⡪⡄⣒⣺⣴⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠿⣿⣎⣜⣴⣿⣿⣿⣯⣿⡞⣔⣿⣿⣷⣿⣾⣿⣿⡇⣻⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⠛⠗⢛⣿⣿⣿⢿⣷⣮⣎⣾⣿⣿⣿⢻⣿⣿⠂⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⢠⣿⣿⡿⠂⣿⣿⠀⠀⢿⣿⡐⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡏⠀⣼⢿⠿⠁⠀⣿⣗⠀⠀⠘⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠇⠀⠻⣎⠀⠀⠀⠎⠀⠀⠀⠀⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠣⡐⠊⠀⠀⠀⠀⠀⡕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⢠⣴⡿⣮⠄⠀⠀⠀⠐⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠰⠖⢕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀