⠀⠀⠀⠀⠀⠀⠀⡏⢸⡇⠀⠹⡄⠀⡇⠀⠀⢳⢘⡷⢿⡇⠸⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⡇⠈⣇⠀⠀⠈⠛⡗⠀⠀⠈⡏⠁⠁⠀⠀⢺⡟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠳⡄⠈⠦⠀⢀⡴⠁⠀⠀⢀⠇⠀⠢⠤⢤⡞⣺⠁⠀⣸⠉⡏⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⠀⠀⠀⢹⡄⠰⣖⠋⠀⠀⠀⣠⠾⠴⢶⣶⠤⠚⠾⡁⠀⢸⡸⠁⡟⣡⡝⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣿⢦⣀⣀⣴⠇⠀⠈⠙⠒⢲⣿⡁⠀⠀⠈⢿⡷⡾⢷⣾⣆⢸⠇⠀⠘⣡⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠹⡀⠀⠀⠈⠀⠀⠀⢀⡤⠋⠀⠇⢀⡠⠔⣚⠓⢀⠀⠀⠛⠻⠤⣀⠸⠗⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⢓⡶⠂⠀⠐⢺⣿⠿⢯⣿⣯⡅⠀⠀⠀⠀⠀⠱⢸⠀⠀⠀⠀⠉⠳⣶⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⡰⠋⠀⠀⠀⠈⢿⣿⡖⠀⠀⠀⠙⠓⢦⡇⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⢸⢼⣧⣀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠀⠀⢰⠃⠀⠀⡠⣄⠀⠀⡼⡞⠛⠻⣿⣦⣤⡤⡀⠀⢹⣄⣤⣴⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠳⣄⡾⡆⣠⠎⢀⣈⣢⠞⡗⢎⠀⠀⠀⠈⡝⢷⣼⠀⣾⣟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⡃⠉⣉⢉⢹⠔⠻⡉⠣⣀⠀⠀⠈⠉⣻⠿⣁⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⡿⠀⢈⣉⢹⠂⠀⣹⡦⠈⠙⠛⠛⠉⠁⡴⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⡯⠖⠦⠤⠤⡇⠀⠀⢳⠮⣴⣾⠽⠂⠀⠀⢄⠀⠀⠀⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠹⠀⢀⡾⠊⣿⣧⠀⠀⠀⠀⠀⠃⠀⢀⣣⣮⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⢿⡿⣦⣤⣀⣀⡤⣼⡶⡿⡽⣿⡞⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣹⣄⠀⠀⣀⣠⢞⠗⣹⠁⡄⠀⠈⠙⠓⣶⣾⣿⣶⣶⡄⠉⣰⠏⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀