⠀⢀⡠⢤⠤⠄⠤⠠⠤⠠⡄⠤⠤⡄⢤⠠⢤⢤⠀⡤⠤⠤⠤⠤⡤⡀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠤⠠⡤⡄⠀⣀⠤⠤⠤⢤⠤⢤⠤⡤⢤⠤⡤⢤⠤⠤⠤⡄ ⠀⣪⣾⣿⣟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣸⠀⡇⣿⣿⡿⣿⣿⣕⡄⠀⠀⠀⢀⣜⣽⣿⡿⣿⣿⡇⡇⢸⣱⣿⣿⢟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣃⡇ ⠀⡿⣯⣟⣿⠀⠀⠀⠀⢰⣖⣖⣲⣒⣖⣲⣶⢲⠀⡇⣿⣻⡇⣮⢿⣻⣾⣆⠀⢠⢮⣾⢿⣫⡇⣿⣻⡇⡇⢸⢼⣟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣷⣿⣿⠀⠀⠀⠀⠸⠭⡭⠭⢯⢹⣿⣽⢸⠀⡇⣿⣷⡇⡇⠱⡿⣽⣷⡳⣳⣿⣟⡿⠁⡇⣿⣷⡇⡇⢸⣾⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡾⠀⡷⣿⣿⡧⡇⠀⠘⢿⢿⣿⣿⢿⠏⠀⠀⡯⣿⣿⣏⡇⠸⣹⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇ ⠀⠀⠁⠚⠒⠓⠚⠒⠓⠚⠒⠓⠚⠒⠛⠒⠉⠀⠀⠓⠓⠒⠛⠁⠀⠀⠈⠓⠚⠒⠃⠀⠀⠀⠛⠒⠚⠚⠁⠀⠈⠑⠒⠒⠓⠚⠒⠓⠚⠒⠓⠚⠒⠓⠚⠒⠃ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠈⠀⠐⠀⠠⠀⢀⠀⡀⡠⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢀⡠⢤⠤⠄⠤⠠⠤⠠⡄⠤⠤⡄⢤⠠⢤⢤⠀⡤⠤⠤⠤⠤⡤⡀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠤⠠⡤⡄⠀⣀⠤⠤⠤⢤⠤⢤⠤⡤⢤⠤⡤⢤⠤⠤⠤⡄ ⠀⣪⣾⣿⣟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣸⠀⡇⣿⣿⡿⣿⣿⣕⡄⠀⠀⠀⢀⣜⣽⣿⡿⣿⣿⡇⡇⢸⣱⣿⣿⢟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣃⡇ ⠀⡿⣯⣟⣿⠀⠀⠀⠀⢰⣖⣖⣲⣒⣖⣲⣶⢲⠀⡇⣿⣻⡇⣮⢿⣻⣾⣆⠀⢠⢮⣾⢿⣫⡇⣿⣻⡇⡇⢸⢼⣟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣷⣿⣿⠀⠀⠀⠀⠸⠭⠭⠭⢯⢹⣿⣽⢸⠀⡇⣿⣷⡇⡇⠱⡿⣽⣷⡳⣳⣿⣟⡿⠁⡇⣿⣷⡇⡇⢸⣾⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡾⠀⡷⣿⣿⡧⡇⠀⠘⢿⢿⣿⣿⢿⠏⠀⠀⡯⣿⣿⣏⡇⠸⣹⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇ ⠀⠀⠁⠚⠒⠓⠚⠒⠓⠚⠒⠓⠚⠒⠛⠒⠉⠀⠀⠓⠓⠒⠛⠁⠀⠀⠈⠓⠚⠒⠃⠀⠀⠀⠛⠒⠚⠚⠁⠀⠈⠑⠒⠒⠓⠚⠒⠓⠚⠒⠓⠚⠒⠓⠚⠒⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀