⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠤⠄⠀⠀⠀⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠴⠚⠒⠀⠀⠸⠦⢐⣄⡀⠀⠀⠀⠀⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣤⣶⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⢁⠔⡹⠋⠤⡀⣐⢂⠀⠈⠙⢦⡀⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠲⣤⣯⣸⣿⣇⠲⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠌⢠⡣⠊⠔⠁⠀⠐⠀⠀⠱⠀⠀⠐⠝⢄⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣿⡁⠠⡄⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠎⢠⡟⠁⠎⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣽⢑⢢⣰⢰⣧⠀⠀⠀⠀⠀ ⠀⠀⡌⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⢘⡆⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢀⠔⠋⡰⠹⣧⡗⠀⠀⢻⣆⠀⠀⠀⠀ ⠀⠰⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣄⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠈⣧⠀⠀⠀⠂⠁⠀⡰⠁⠃⠹⡇⠀⠀⠀⢟⡆⠀⠀⠀ ⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠣⡀⠀⠀⠀⠘⡄⠀⠀⠀⠀⢸⡣⠀⠀⠀⠀⡔⠁⠀⠰⢀⡆⠀⠀⠀⠈⢱⠀⠀⠀ ⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠳⣦⡀⠀⢣⠀⠀⠀⠀⠸⣳⣅⠀⡠⠊⠀⢠⠀⠀⡌⡇⠀⠀⠀⠀⢘⣇⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠠⠖⡇⡗⠈⠉⠁⠀⠙⠷⣬⡆⠀⠀⠀⠀⣿⣿⡟⠁⡠⢂⠂⢀⢄⠅⣇⠃⠀⠀⠀⠈⢾⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡀⠀⠀⡄⣼⡅⢀⡀⠀⣀⣤⣠⣤⣧⣀⢀⠀⠀⢸⡿⣯⡽⣦⠁⢀⠎⠘⢠⠏⠀⠀⠀⠀⠀⠈⡇⠀ ⠀⠀⠀⠀⠀⠀⣧⢋⠀⡀⠋⢠⡇⠀⢠⣶⠻⠚⣡⣾⣿⣿⣿⡿⡻⡿⣿⠋⠀⠀⢸⢡⠍⠁⠳⣄⠌⡠⢡⣿⠀⠀⠀⠀⠀⢸⣄⢰⠀ ⠀⠀⠀⠀⢠⡏⡏⢮⣆⢧⡤⠾⠧⠞⠑⠁⠀⠀⠰⠏⠘⣏⠙⠚⢃⣿⠃⠀⠀⠀⠀⣘⣆⠘⣴⢋⠜⣠⣿⠇⠀⠀⠀⠀⠀⡴⡟⡄⢇ ⠀⠀⠀⠀⠘⣼⡇⣼⡿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠒⠉⣎⠀⠀⠀⠀⢀⠛⣡⣶⠗⡁⣼⡏⡜⠀⠀⠀⠀⠀⣰⠇⣿⠙⣼ ⠀⢱⢀⠀⠘⣽⣿⣿⣧⠘⣟⢻⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⡄⠀⠀⠀⣷⣶⢋⢔⣴⠟⢹⣰⠇⠀⠀⠀⣀⣴⡏⠀⡇⣠⡟ ⢰⡸⢯⡆⢄⠈⢿⡊⢫⡑⠌⠗⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⣾⡇⠀⠀⢠⣿⢳⠎⣰⣁⠀⢸⡏⢰⠀⠀⠀⠱⡉⡃⢀⠟⠋⠀ ⠸⡇⠘⣿⢼⣶⡌⠓⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⣷⠀⠀⢸⡏⢸⣾⡁⠀⠁⠈⣏⡀⠣⣦⣀⠑⢙⡧⡚⠀⠀⠀ ⠀⡿⣤⣿⠹⡀⠁⠰⠀⠀⣧⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠁⠀⣠⡏⠀⠀⣾⠀⠀⡏⠋⢳⡀⠀⢿⡧⣤⣍⠑⠂⠤⣎⠟⠒⠀⠀ ⠀⠱⡄⢸⠀⡇⠀⠀⡀⠀⢸⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡞⠁⢃⣠⢊⡜⠀⣀⡱⡄⠀⠀⠀⠈⠓⠐⠋⠀⠠⠜⠋⠀⠀⠀⠀ ⠀⠀⠹⢾⡆⢱⢠⠀⠀⡄⢸⠁⠀⠈⠁⠐⠢⢄⣀⡤⠖⢺⣳⠏⠀⢚⠋⢀⣼⡗⠛⠉⠁⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡇⠘⣜⣆⠀⢣⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⣶⠞⡟⡀⡾⠟⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⣀⣿⠺⣄⣸⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡜⣻⡻⠋⠀⠀⠀⠀⣀⡴⣶⣿⡿⢷⡤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣷⢻⡄⢇⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⣷⠀⠀⠀⣀⡠⠔⢬⣯⣞⣙⣿⡿⣦⠀⠛⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣌⣦⠸⣀⢷⣄⠀⠀⠀⠀⠀⠀⣀⣴⣺⣿⢣⠛⠀⣀⠜⠉⠀⣠⡺⠋⠸⢅⣸⣏⣙⣷⡄⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠃⢻⣄⠹⡀⠀⠀⠀⠀⣀⣼⣿⠟⣡⠟⠕⢃⡠⠊⠀⠀⠀⣰⠟⠀⠠⠒⠀⡨⠋⠂⠙⠢⢧⡀⠈⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠿⠳⣷⡆⠀⢀⡾⢡⣾⡵⢻⠃⢀⠔⢣⣤⣄⠀⠰⣪⠟⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠙⢆⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢸⢃⡿⠕⢀⣮⠞⠁⠀⠰⣫⠉⠉⢿⡀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠘⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⡾⠃⡀⠛⠁⠀⠀⠀⠀⠁⢇⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⡠⠊⠀⠀⠀⠀⠀⠀⠀⠚⢂⣯⢀⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠚⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢁⠜⠀⠀⠀⠀⠀⠀⠀⢀⡠⢾⣹⡆⡱⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡷⠁⠀⠀⠀⠀⢀⡠⠴⢊⣁⣀⡀⠛⠧⠒⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡼⠇⢀⣀⠀⠤⠾⠓⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀