⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣿⣧⣤⡶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠲⠶⣦⣤⡀⠀⠀⠀⠒⢦⣤⠖⠀⣠⣴⠶⣿⡷⣶⣤⡀⠀⢠⣤⣦⣤⣤⣤⣤⣶⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⢻⣿⣄⠀⠀⠀⢸⡇⢀⣾⡟⠁⠀⣿⡇⠀⠹⣿⣆⢼⠁⠀⠸⣿⡇⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠙⣿⣧⠀⠀⢸⡇⢸⣿⠁⠀⠀⣿⡇⠀⠀⢹⣿⡇⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⠀⠀⠈⠻⣿⣄⢸⡇⢸⣿⡇⠀⠀⣿⡇⠀⠀⢸⣿⠇⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⡀⠀⠀⠀⠘⢿⣿⡇⠀⠻⣿⣦⡀⣿⡇⠀⣠⣿⠏⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠚⠛⠛⠒⠀⠀⠀⠀⠙⠃⠀⠀⠈⠙⠛⣿⡗⠛⠋⠁⠀⠀⠀⠒⠛⠛⠛⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣠⣄⣀⣀⣀⣴⣄⠀⢀⣠⣴⣿⣧⣤⣀⠀⠠⢤⣄⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⢠⣴⡀⠀⠦⣤⣤⡤⠀⠀⠠⣤⣤⠄ ⠀⠀⢀⣿⠋⠉⢹⣿⠉⠀⢸⣇⣶⡿⠉⠀⣿⠀⠈⢻⣷⣄⠀⣿⣿⠀⠀⠀⠉⠻⣿⣆⠀⠀⠀⣾⣿⣧⠀⠀⠈⢿⣧⠀⠀⢰⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⣸⣿⠁⠀⠀⣿⠀⠀⠀⢻⣿⡆⣽⣿⠀⠀⠀⠀⠀⢻⣿⡀⠀⣸⠃⠸⣿⣇⠀⠀⠀⢻⣷⣴⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⢸⣿⡄⠀⠀⣿⠀⠀⠀⢸⣿⠇⢸⣿⠀⠀⠀⠀⠀⢸⣿⠀⢰⣿⣤⣤⣿⣿⡄⠀⠀⠀⢿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠈⢿⣷⣄⠀⢻⠀⠀⢠⣾⠟⠀⣾⣿⠀⠀⠀⠀⣠⣿⡏⠀⣿⠁⠀⠀⠈⢿⣷⡀⠀⠀⢸⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠤⠿⠿⠷⠤⠀⠀⠀⠙⠻⠷⢾⠶⠾⠛⠁⠀⠰⠿⠿⠶⠶⠶⠾⠛⠁⠠⠾⠿⠤⠀⠀⠠⠼⠿⠷⠤⠤⠾⠿⠦⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀