⠀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡄ ⠹⣟⣭⠞⠳⣄⠀⠀⠀⢀⡼⠋⠙⣿⠿ ⠀⢸⡀⣷⣄⠈⠓⠒⠒⢋⣴⣿⠀⡟⠀ ⠀⠸⡇⠘⠀⠀⠀⠀⠀⠀⠀⠋⢰⡇⠀ ⠀⢠⡇⠀⣶⣦⠀⠀⢠⡤⠄⠀⢸⡇⠀ ⢠⠞⠀⢰⡏⠿⡇⠀⢰⠛⣿⡄⠘⣧⡀ ⣿⠀⠀⠈⠷⡴⠇⠀⠸⣆⣸⠇⠀⠈⣷ ⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠁ ⠀⠀⠈⠉⠛⠛⠓⠒⠒⠛⠋⠉⠀

⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⠀ ⠐⣾⠟⣛⣭⠿⣄⠀⠀⠀⠀⠀⢀⡤⠿⢭⡈⣿ ⠀⠈⣿⠁⣀⠀⠈⠳⣄⣀⣠⡴⠋⣠⡄⠀⣽: ⠀⠀⣿⠀⣿⠛⠆⠀⠀⠁⠀⠀⠾⢻⡇⠀⣿ ⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇ ⠀⠀⣸⠃⠀⢲⣲⡄⠀⠀⢠⡴⠦⠀⠀⢸: ⠀⣴⠏⠀⢠⡏⢹⣷⡀⠀⢠⡞⣹⣦⠀⠘⣇ ⢰⣧⣄⠀⠸⣇⠀⣼⠁⠀⢸⡀⢈⡟⠀⠀⠉⣧ ⠸⡇⠈⢳⡀⠉⠛⠁⠀⠀⠈⠓⠛⢀⣤⠞⠻⡇ ⠀⠻⣄⠀⠹⡄⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⢀⡇ ⠀⠀⠈⢳⣸⠇⠀⢀⡤⢤⡀⠀⠸⡇⠀⣴⠛⠒⢦⡀ ⠀⠀⠀⠀⡇⠀⠀⣿⠀⠀⡿⠀⠀⢻⡞⠁⠀⠀⡼⠁ ⠀⠀⠀⠀⣷⠀⠀⠈⠛⠋⠁⠀⠀⡾⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠸⣆⠀⠀⣀⡀⠀⠀⣸⡧⠶⠚⠋ ⠀⠀⠀⠀⠀⠙⠓⠚⠋⠉⠛⠛⠉

⠀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡄ ⠹⣟⣭⠞⠳⣄⠀⠀⠀⢀⡼⠋⠙⣿⠿ ⠀⢸⡀⣷⣄⠈⠓⠒⠒⢋⣴⣿⠀⡟⠀ ⠀⠸⡇⠘⠀⠀⠀⠀⠀⠀⠀⠋⢰⡇⠀ ⠀⢠⡇⠀⣶⣦⠀⠀⢠⡤⠄⠀⢸⡇⠀ ⢠⠞⠀⢰⡏⠿⡇⠀⢰⠛⣿⡄⠘⣧⡀ ⣿⠀⠀⠈⠷⣴⠇⠀⠸⣆⣸⠇⠀⠈⣷ ⠙⢦⣀⠀⠀⠈⠙⢝⠏⠀⠀⢀⣠⠾⠁ ⠀⠀⠈⠉⠛⠛⠓⠒⠒⠛⠋⠉⠀⠀⠀

⠀⠀⠀⣀⣤⣶⡾⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⣀⡴⠿⣷⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡷⠿⠏⠁⢀⣠⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠙⠛⠳⣤⡘⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣤⠞⠋⠁⠀⠈⠛⣦⡀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠠⣦⡀⠀⠀⠀⠛⢦⣤⣤⣤⣤⠶⠋⠀⢀⡴⡧⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⢿⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⡏⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠀⠀⠸⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡇⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⣈⣤⣙⠃⠀⠀⠀⠀⠀⠞⠋⠙⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⣰⠋⠀⣉⢷⠀⠀⠀⠀⠀⣴⠛⠙⢶⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠋⠀⠀⠀⠀⢾⠀⠀⠉⢸⡇⠀⠀⠀⢸⡇⠀⠐⠊⣷⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠸⣆⠀⠀⢸⠇⠀⠀⠀⠸⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠀⠀⠀⠀⠀⠀⠀⠈⠳⠞⠋⠀⠀⠀⢀⡀⠻⣤⣀⡴⠃⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⡶⢾⢻⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠻⣬⣽⠇⠀⠀⠀⠀⠀⣀⣠⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠶⠶⠶⠶⢤⢤⢤⢤⠤⠴⠶⠶⠞⠛⠉⠀⠀⠀⠀