⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣴⡶⠶⠶⠒⠛⠛⠛⠛⠛⠛⠓⠶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠁⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠉⠉⠉⠻⢷⣶⡀⠀ ⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⢀⣠⣴⣾⠿⠟⠛⠛⠛⠛⠛⠛⠿⠿⣶⣤⣄⡀⠀⠀⠀⠙⢿⣄ ⠀⠀⢀⣼⠟⠋⠀⠀⢀⣤⣶⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣶⣄⡀⠀⠈⣿ ⢠⣾⠟⠁⠀⠀⠀⣠⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣆⠀⠀⠀⣙⠿⣦⡀⢸ ⣼⡏⠀⠀⠀⢀⣼⡿⠃⠀⠀⠀⠀⠀⢠⣧⡀⠀⠀⠀⠀⠀⠀⠀⡿⠋⡏⠀⠀⠀⣼⣆⠀⠁⠀ ⣿⠂⠀⠀⠀⣼⣿⠁⣴⡀⠀⠀⠀⠀⡟⠉⠛⣦⡀⠀⠀⠀⠀⣰⠃⠀⡇⢀⣤⠿⠁⠸⡇⠀⠀ ⣿⣇⠀⠀⠀⢹⡟⢀⡏⠛⠶⢤⣀⠀⣇⠀⠀⠀⠉⠳⢦⣀⣼⠃⠀⠀⠳⠟⠁⠀⠀⠀⢹⡀⣰ ⠹⣿⣗⠀⠀⠀⠑⢸⠁⠀⠀⠀⠉⠛⠛⠁⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢻ ⠀⠈⢿⣧⠀⠀⠀⢸⡄⠀⠀⠀⣄⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⣾ ⠀⠀⠀⠻⣷⣦⡀⢨⣇⠀⠀⠈⠻⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⢠⡿ ⠀⠀⠀⠀⠈⠛⢷⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣀⣀⣀⣀⣤⣤⡀⠀⠀⠀⠀⠀⣰⣿⠃ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣁⣠⠤⠤⠴⠶⠞⠋⠁⠀⠀⣠⣾⣿⠋⠀ ⠀⠀⠀⠀⠀⣸⣿⡟⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣠⣾⣿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡿⠁⠀⠘⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⠉⠛⠿⠷⣶⣤⣤⣤⣤⣴⣶⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠈⠉⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⣤⡴⠺⣶⡀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⣤⣼⣽⣧⠀⣹⣻⢶⡀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⢘⣯⣝⣻⣇⣸⣿⣿⣟⠃⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠉⠉⣿⢿⣽⡏⠻⡿⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠛⠓⠀⠀⠀⠀⠀⠀⢈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣷⣶⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣠⣤⣤⣤⣴⣶⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡗⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⡀⠀⠀⠀⠀⠀ ⠀⠀⣠⣼⣿⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⡿⠟⢿⣷⡿⣶⣶⣦ ⠀⣼⡿⠋⠉⠉⠙⠻⠿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣄⣀⠀⠀⢀⣠⣾⡿ ⠀⠻⢿⣷⣤⣤⣴⣶⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⠿⡿⠿⠟⡋⠀