⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣳⣦⠀⠀⠀⠀⠀⠀⠀⣤⣖⣒⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠈⠻⣷⣄⣠⣤⣄⢀⣾⠋⢀⠀⢻⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⡖⠀⣿⠋⣉⠙⠈⣿⣼⢠⡎⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡌⠿⣠⡿⢾⢃⡴⣴⣿⠳⢿⡁⢠⢃⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠬⣿⣾⡟⣋⢻⡻⠞⣰⢟⣙⢦⠙⡏⣸⣥⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⢐⢣⡿⢫⣿⡇⠀⢧⡿⡉⠹⣇⣿⣁⣸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⠘⣼⣧⡸⢟⣇⡀⢏⡓⢃⣴⡷⡎⠀⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠹⣿⣍⠝⠽⠿⠙⠦⣜⡭⠞⠁⣸⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣄⣶⣄⣀⣀⣀⣠⣴⣆⣨⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣵⣇⣨⠿⠷⣄⣹⣮⣁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⡏⠉⢿⡠⠞⠉⢱⠀⠉⢷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠁⠀⣸⣤⡀⠀⢸⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⡆⠀⢿⣤⠀⠀⠸⡀⠀⠈⢧⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⣤⣀⢿⠀⢸⠉⠀⠀⠀⣧⣀⣠⡤⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣁⣀⣈⣹⠀⢸⠛⠀⠀⠀⣿⣉⣀⣀⡼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢹⣿⣀⣴⢳⢄⣀⡴⣿⣿⢏⣸⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡵⣶⡿⡏⢸⠘⠀⡄⠀⣹⡷⡲⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣰⡁⠃⢸⠀⡇⢇⡾⢁⡧⣼⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢸⠀⢼⣀⢣⠸⢻⡏⢹⣾⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⡎⠀⠆⢸⠁⠀⡆⢳⠋⡇⠀⠀⠀ ⠀⠀⣠⡴⠶⠶⠤⣴⣄⠀⠀⠀⠀⠀⠀⢠⣿⠁⠃⢠⠀⢸⠀⡀⢱⠀⡆⢹⠀⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠹⣆⣀⣀⣀⣠⡶⡿⡼⢸⠀⣸⠀⢸⠀⡇⠘⠀⢧⠸⡇⠀⠀ ⢸⡁⠀⠀⠀⠀⠀⠀⡠⠊⡩⢫⠋⠘⣶⣯⠇⡎⠀⡇⠀⢸⠀⡇⠀⡇⢸⠀⣇⠀⠀ ⠀⣧⠀⠀⠀⠀⠀⡞⠀⠘⠁⠸⡄⠀⣸⢹⠀⡇⠀⠁⠀⢸⠀⣇⠀⡇⠘⡄⢹⠀⠀ ⠀⠘⣦⠀⠀⠀⠸⡇⠀⢰⡀⠀⠙⠦⡿⢀⠀⡇⢸⠀⠀⢸⠀⢹⠀⡇⢠⠇⢸⡇⠀ ⠀⠀⠈⠳⢦⣀⡀⠱⣄⠀⠑⢄⣀⣠⢿⢸⠀⡇⠈⡀⠀⢸⠀⢸⠀⡇⢸⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠈⠉⠙⠚⠓⠛⠉⠉⠀⠘⣆⢧⢧⠀⢇⠀⢸⠀⢸⠀⡇⢸⠀⣸⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢾⣮⡄⠸⠀⢸⡆⠸⠀⡇⠼⣰⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠻⢽⠤⠖⣪⣇⠐⠢⠥⢘⣳⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠴⠚⠉⢛⣛⣿⠋⠁⠈⢹⣟⣛⠉⠛⠦⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⠚⠃⠀