⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⠤⣬⣿⣦⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠛⠋⠉⠀⠀⠀⠀⠈⠙⠋⠛⠛⠲⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠞⠉⠁⢀⣀⣠⠤⠤⠤⣀⣀⣀⣠⠤⠴⠶⢤⡀⠀⠈⠙⢵⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⠶⠋⠁⢀⣤⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠟⠁⢀⡴⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⡀⠀⠈⢻⣆⠀⠀⠀⠀ ⠀⠀⣾⠃⢀⡴⠋⠀⠀⣠⡆⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣄⠀⠀⠹⣧⠀⠀⠀ ⠀⣾⠃⢠⠏⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠙⢧⡀⠀⠘⣧⠀⠀ ⢠⡏⢠⠏⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠈⢳⡄⠀⠘⣧⠀ ⣸⡇⡾⠀⣶⣰⢿⠇⠀⢀⡟⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⢠⡆⠀⢻⡄⠀⠀⠀⠀⠈⣧⠀⢰⣿⡄⠀⢹⡇ ⣿⢃⡇⠀⣿⡏⣿⠀⠀⣼⠁⠀⡄⠀⢸⣿⠀⠀⠀⠀⠀⠀⠈⡇⠀⠘⡇⠀⠀⠀⠀⠀⠸⣇⠈⣯⣷⠀⠀⣷ ⣿⢰⡇⠀⣿⠃⣿⠀⠀⣿⠀⠘⡇⠀⢸⣿⠀⠀⠀⢠⠀⠀⢀⡇⠀⢀⡇⠐⣆⠀⢷⡀⠀⢻⡀⣿⢹⡆⠀⢿ ⣿⠸⡇⠀⢻⡀⢿⡀⢠⣿⠀⢠⣧⠀⠀⢻⡀⠀⠀⣿⠀⠀⢸⣇⡀⣼⢹⡄⣿⣆⢸⣷⡀⢘⡇⣿⢸⡇⠀⣼ ⢹⡇⡇⠀⠸⣇⠘⣇⢸⡟⣇⣸⠛⣧⠀⣿⣇⠀⢀⡇⠀⠀⣼⣽⣰⠃⠀⢷⣿⢿⡄⣇⣧⣸⣿⣿⣿⡇⠀⣿ ⠘⣷⡹⡄⠀⢻⡄⠸⣿⡧⢽⣿⠤⠼⣆⢸⣿⡄⢸⣷⠀⢰⡿⣿⣓⣒⣖⣚⣿⠚⢿⣿⣹⣿⣿⢹⣿⠇⢰⡏ ⠀⠘⣧⡱⣼⠀⠻⠠⣿⢷⡟⡻⣿⣿⡟⢾⡝⢻⣼⣿⣠⠟⠹⠇⢉⣻⣿⡿⢛⠟⠀⢉⡽⢻⡟⣸⡿⢀⣿⠀ ⠀⠀⠘⢷⣽⡄⠀⠀⠙⣧⣄⠀⠈⠉⠉⠈⠁⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣾⠅⢸⣇⡟⣇⣾⠃⠀ ⠀⠀⠀⠈⠿⣇⠀⢸⡆⠙⢿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠿⠋⣴⢀⣜⣷⡟⠁⠀⠀ ⠀⠀⠀⠀⠘⣿⡆⢠⣿⣄⠈⠳⣌⠙⠓⠆⠀⠀⠀⠓⠀⠀⣠⠄⠀⠀⡴⢞⣽⡃⢀⣼⣇⣼⣟⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣼⣿⠻⣿⣮⣿⡷⣄⡀⠀⠀⠀⠉⠋⠉⠁⠀⠀⣠⣴⣿⣿⣧⡾⢻⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⠀⠀⠙⠻⠿⠛⠛⣷⣤⣀⠀⠀⠀⣀⠴⠚⢱⢸⡇⠘⠋⠀⠈⠿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠾⡏⠙⠓⠒⠋⠁⠀⠀⢸⢸⠷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⢱⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠘⣟⣆⡤⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠉⠀⠀⠘⣖⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠠⢄⠀⠙⠻⣢⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣤⠾⠛⠁⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠳⠤⠖⠂⣠⠞⠁⠀⠀⠀⠀⠑⢄⠀⠈⠙⠷⣣⣀⡀⠀ ⠀⠀⢀⣤⡾⠛⠙⣲⣤⣀⡀⠀⠀⠀⠀⠀⠀⠳⣆⠀⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⣀⣀⡬⢵⡯⡄