⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠾⠟⠋⠛⠩⠝⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⢾⠍⡰⠊⠁⠀⠀⢠⡀⠀⠘⠅⠹⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⣁⠀⣰⠁⠀⠀⠀⠀⢌⠀⠆⠀⠀⢠⢸⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣷⢼⡷⠁⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⣿⣯⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣿⣟⡿⣿⢇⢣⠀⠀⡀⠀⠀⠀⠀⠀⠀⢤⣽⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡿⣿⡄⡿⣍⣧⡿⠛⡟⠀⠀⠀⢀⣨⣽⣯⢿⣟⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣇⠉⢱⣿⢿⡙⠉⠉⠉⠹⡍⠉⣍⡉⠉⠙⣿⣏⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⡹⣿⣄⠆⠐⠀⠀⠈⠁⠈⠋⠀⠀⣠⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣷⣿⣿⡦⣀⠠⡀⠀⠀⠀⠀⢀⣰⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⣿⣮⠙⠿⢦⣤⣤⣤⣤⢾⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⢴⣿⣋⠃⠉⠒⠀⠀⠀⠄⠠⢶⣫⡿⠃⠙⠢⢄⡀⠀⠀⠀⠀ ⠀⢠⣖⠟⠀⡀⠈⠓⠺⠶⣦⣤⣠⣴⠶⠚⠋⠁⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀ ⢠⣿⠇⠀⠀⣱⢴⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀ ⣺⣯⠂⠀⠀⡏⢸⠄⠀⠀⢼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⠀ ⣿⣇⠀⠀⠀⣯⠀⡆⠀⠀⣾⠋⠁⢰⠆⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀ ⣿⣟⠇⠀⢰⠿⢀⡼⠀⢸⢘⣁⣤⣠⡤⣄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇ ⣿⣿⡗⣀⣸⡖⠉⠀⠀⠈⣣⡞⠋⣩⡞⠉⣿⡀⠀⠀⠠⠀⠀⠀⠀⠂⢰⣷ ⣿⡯⠁⠀⠀⠀⠀⣀⣀⡞⠉⣠⣴⡿⣧⣤⣀⣀⡀⣀⣀⠀⠀⡀⠀⠀⢀⣿ ⢿⣿⣶⣙⣖⣊⠥⠊⢁⣠⠞⠁⠀⢷⣄⡉⠉⠛⡛⠛⠛⠿⠿⠿⠿⣿⣿⡿ ⠈⢷⣄⣀⢀⣀⡤⠖⠋⠀⠀⠀⠀⠀⠈⠉⠙⠋⠙⠛⠲⢦⣤⡟⠻⠖⠋⠀ ⠀⠀⠈⢹⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⡇⠀⠀⠀⠀ ⠀⠀⠀⣸⣷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡇⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⣿⡿⠀⠀⠘⠷⣄⠀⠀⠀⠀⠀⠄⠀⣠⣮⡴⠂⠀⢠⡇⠀⠀⠀⠀ ⠀⠀⠀⣿⣷⠀⡆⠀⠀⠈⢷⡄⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠙⡦⠤⠞⠋⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠳⠤⢤⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣟⡆⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⣴⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⣼⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣰⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣾⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠟⡣⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠈⠙⣽⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⢠⢲⠀⠀⠀⠀⠀⢈⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠇⡀⠀⠀⠀⠀⡞⢸⠀⠀⠀⠀⠀⢘⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡌⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⣺⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠇⡇⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣜⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠐⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣄⣤⣰⣶⣠⣄⣰⣴⣠⣤⣖⣠⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠿⢿⣿⣿⠿⠿⠿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀