⠀⠀⠀⠀⠀⠀⢠⣔⠿⠊⠁⠀⠀⠀⠀⠀⠀⣀⢤⡲⠯⠛⠒⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠚⠫⠷⣢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠪⢖⢄⡀⠀ ⠀⠀⠀⠀⠀⠀⢸⠉⠒⠢⠤⣄⣀⠀⢀⣴⡮⠊⣡⠀⣀⠀⠀⡴⢁⡀⠀⡰⠀⠀⢠⠀⢀⠀⠀⢀⠀⠙⠪⣕⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠫⣶ ⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⣀⣀⠀⣩⡿⠃⠀⡰⠁⡐⡝⠀⡸⢡⡻⠁⣰⠁⠀⢠⠛⠀⡎⣀⡏⡎⢇⢠⢄⠈⠳⣝⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠒⠊ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⣮⡅⡖⠭⢗⡢⡀⢰⠁⠀⠋⠀⢠⠃⠈⠀⡰⡍⠀⢀⠇⡇⠀⡇⠘⠙⠁⣼⡀⠛⠸⡸⣫⢢⠳⡀⠀⠀⠀⠀⠀⢀⣀⠤⠔⠒⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⣸⡇⠟⠀⠀⠀⣷⠁⡆⠀⠀⠀⠀⡘⡠⠤⣴⠧⡗⠒⡞⠈⡇⠀⡇⠀⠀⠀⡏⢣⠀⠀⢣⠈⠀⢧⢱⣀⡤⠔⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⢤⣒⣓⣲⣿⣵⣢⣤⢀⡜⡎⢰⠁⠀⠀⠀⢀⡇⠀⢰⠁⠀⡇⢰⠁⠀⢁⠀⡇⢰⠀⠀⣯⠛⣄⡀⢸⡄⠀⠈⡆⠇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠞⠋⠁⠀⡇⠀⣞⢷⡤⠈⠙⡝⠄⡼⠀⠀⠀⠀⢰⡇⢰⣗⣭⣥⣧⣏⠢⠀⢸⠀⣷⢸⠀⢀⡿⠀⢣⠈⢲⡇⠀⠠⣵⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠁⠀⠀⠀⠀⡇⠀⣿⠘⠃⠀⠀⡁⠀⡇⠀⠀⠀⠀⣸⢧⡿⢛⣽⡶⣾⡟⠿⠄⠀⡇⢠⣾⢀⣾⣓⣒⢼⠀⢸⣇⠀⢰⢭⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⢏⣢⣤⣤⣔⡳⠠⠃⠀⠀⠀⠀⡇⢿⡁⣾⡛⠃⠾⢿⠀⠀⠀⠸⣸⠙⣿⣿⣿⣿⣿⣇⣏⡇⠀⡸⠘⣸⢠⠀⠀⠀⠀⠀⠀⢸⠙⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠓⠤⠊⠀⣾⠀⠀⠀⠀⠀⡇⠀⠀⢣⠉⡇⡏⣹⠀⠀⠀⠀⠱⡴⣟⣻⠰⢿⢸⣿⢹⠇⢠⠃⠀⣿⢸⠐⢒⣲⠤⣀⡀⠓⠤⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⡾⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠇⠀⠀⠀⠑⠛⠚⠁⠀⠀⠀⠀⠀⠀⢣⢸⡼⣹⠸⣯⢻⣠⠃⠀⠀⠀⢸⠀⢠⣄⠉⠁⠚⠵⢖⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⢠⡇⠀⠀⠀⡜⡁⠀⢰⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⢠⠏⠉⢸⠀⠀⠀⠀⠘⠀⠀⠈⠁⠀⢀⣄⡀⠈⠁⠛⠶⣤⣄ ⠀⠀⠀⠀⠀⢸⡆⠀⡼⠀⠀⠀⢰⠁⡇⠀⢸⠀⠀⢸⣄⠀⠀⠀⠀⠀⠀⠀⢰⡉⠒⠢⣤⠀⠀⠀⠀⠀⢸⠀⠀⠘⠀⠀⠀⠀⠀⡄⠀⠄⣀⣀⠀⠈⠚⠶⡤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⢀⢷⡀⠀⢠⠇⣸⡇⠀⢸⠀⠀⢸⠈⠳⢤⡀⠀⠀⠀⠀⠀⠉⠒⠒⠋⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠤⢤⠀⠀⠹⣁⡀⠒⠛⠛⠤⢀ ⠀⠀⠀⠀⠀⢸⠀⡾⠀⢳⣠⢟⡫⠭⡇⠀⣾⠀⠀⢸⠀⠀⠀⠙⠳⢦⡄⣀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡏⠀⠀⡆⢰⠀⠀⠀⠀⠀⡇⠘⠢⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢰⠃⠀⡰⣡⡋⠀⠀⡇⢠⠙⡀⠀⠘⡄⠀⠀⠀⠀⠀⠈⡵⠛⡳⠶⢖⣭⠉⢡⠏⢹⠀⠀⢠⡇⢸⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠇⠀⡰⢱⠁⠱⡀⠀⢃⡸⠀⢇⠀⠂⠈⠢⢄⡀⠀⠀⡜⠀⡜⠀⠀⠀⠘⣷⡿⠀⣸⠀⠀⣼⡇⡸⢦⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⢀⠇⡇⠀⠀⢱⡄⠸⡇⠀⠈⢆⡇⠀⠀⠀⠀⠀⠀⡅⠉⠀⠀⠀⠀⠀⢸⡧⠀⡿⠀⣰⠏⣇⠇⠸⡄⠀⠀⠀⢸⢉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⢸⠀⡰⡍⢱⠙⡍⠏⢧⣄⠀⠉⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢸⡇⢠⣧⡾⠋⠀⢿⢀⢰⠁⠀⠀⠀⢸⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀