⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⢤⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠚⢿⣾⣿⠿⠓⢲⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠖⠟⠀⣀⣀⣀⣉⣁⣤⣤⣀⠘⣷⢤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⠁⠀⡠⢾⣿⣿⣿⠛⢿⣿⣿⣿⡟⠛⠀⢹⣧⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣦⣴⣧⣀⣈⣿⣿⣦⣤⣤⣿⣿⡇⠈⡇⣸⡿⠀⠀⠀⠀ ⠀⠀⠀⣾⡟⠛⢻⠿⣿⣿⡿⠋⠻⠿⣿⡿⠟⣷⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⠀⠀⠂⠀⠀⠀⠀⠀⠀⠂⠈⠛⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⠇⢰⣦⣤⣀⠀⠀⠀⢀⣤⣤⡤⠀⣿⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⡇⠈⠸⣿⡿⠀⠀⠀⠛⠿⡿⠇⠀⣹⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡔⠋⠀⠀⠑⠀⠀⠀⠒⠋⠁⠁⠑⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⢆⠀⠀⠀⠀ ⠀⠀⠀⡘⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠘⡆⠀⠀⠀ ⠀⠀⡰⠃⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣕⠀⠀⠸⣄⠀⠀ ⡔⣋⢀⠀⣠⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⢦⡀⡠⠈⡑⡄ ⠀⠀⠈⠀⠉⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠐⠉⠉⠉⠁ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣄⣤⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠛⢘⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⢀⠀⠸⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⢸⠀⢀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⡆⣼⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠦⠀⠀⠀⠀⠽⠇⠀⠀⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀