⠀⣠⢄⠀⣀⣠⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡧⠫⡾⠋⠀⠀⠀⠈⣢⠕⠀⠀⠀⠀⠀⣴⣽⣿⣿⣿⣿⣶⣤⡀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⢿⡟⠁⠀⡀⠐⢦⠜⠁⠀⠀⠀⠀⠀⠀⣽⣿⣿⡟⠉⠉⠙⠛⠃⠀⠀⠈⠻⢿⣆⢀⠀⠀⠀⠀⠀⠀⠀ ⠈⢾⠀⠀⠀⠄⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢴⠞⠉⠀⠀⠀⠀⠉⠢⡀⠀⠀ ⠀⠀⠉⠒⠤⢄⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣦⡀⠀⠀⠈⡆ ⠀⠀⠀⠀⠀⠀⡀⠀⢰⠋⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢱⠀⠸⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⡆ ⠀⠀⠀⠀⠀⠀⠘⡄⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠇⠀⠀⢠⠁ ⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠟⠁⠀⠀⢠⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⢀⡠⡪⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠵⠤⣀⠀⠀⢀⡀⠔⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⠶⢶⣶⣶⣶⣶⠶⢶⠊⠉⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⢠⣬⣉⠉⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⢹⡛⠉⠉⢙⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢟⠱⠀⢸⡇⠀⠀⠈⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠸⡀⢣⢸⣧⠀⠀⠀⠇⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⡞⠀⠀⠀⢣⠀⠙⢻⡄⠠⢄⠀⠗⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⡀⠀⢀⣴⠟⠿⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠉⠳⣱⣞⠶⠋⠀⠀⠀⠀⢁⣢⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⡶⠏⢀⣴⣶⣿⣶⣶⣶⣶⣦⣤⣤⠄⠀⠀⠀⣿⠟⠀⠀⠀⠀⠀⠀⠀⣾⣿⣕⢄⠀⠀⠀⠀ ⠀⠀⠀⠻⡏⣀⣴⣿⣿⠿⠫⣜⣿⣿⣿⣿⣿⣿⣧⣄⡀⢰⡇⠀⣠⣤⠔⠊⠩⢉⠁⠛⢿⡏⠳⣧⡀⠀⠀ ⠀⠀⡠⠒⠚⠛⢛⡿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠁⠀⠉⠁⠀⠀⠀⠓⡤⠉⠥⢌⡒⢴⡇⠀⠀ ⠀⢰⣹⣷⡆⢀⡄⡘⢰⡀⠀⢠⣦⡀⣠⣠⣆⠀⢀⣴⣔⡄⣀⡀⣰⣳⡢⡀⣰⣶⣼⠧⣢⡄⢰⠤⣡⠀⠀ ⠀⢸⠿⣿⣿⣿⣷⣳⣿⣷⣤⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣁⣯⡛⣉⡁⡌⠀⠷⣌⠋⠉⡇⠙⠀⠀ ⠀⠀⠀⠙⠛⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠶⠤⠤⠬⠄⠒⠁⠀⠀⠀