⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠚⠉⠉⠉⠙⠒⠦⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠻⡄⠀⠀⠀⠠⣾⡿⣷⣄⠈⢱⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⣸⣾⣇⡀⠀⢀⢀⠀⠀⠟⡿⣷⣀⠙⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡉⢹⣼⠛⣷⣦⣴⢔⠀⠀⠀⠀⢸⠢⣀⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⣷⣾⣿⣷⣿⣿⣿⡾⣧⣤⣄⢄⢀⠈⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣟⡀⢻⢻⣿⣿⣨⣭⣥⣄⡈⠉⠉⣛⠛⣾⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣗⢰⣿⣿⢻⡏⢀⣀⠉⣻⣶⠟⠓⠶⠿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⢇⣧⣾⣿⡇⠘⢷⣌⣉⣠⠏⢸⡀⠶⠀⢠⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣟⡇⠀⠀⠉⠉⢡⡀⠈⡟⠶⣶⣾⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⡿⠏⠻⡇⠀⠀⠉⢑⠒⠷⠮⢄⣰⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠚⠉⠉⠉⠢⣀⠀⠀⠉⢛⣴⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⡤⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡔⠉⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⢢⡀⠀⠀⠘⡆⠤⠤⢤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⠳⣄⠀⠀⣇⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢬⣳⠴⢻⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠈⣆⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠸⡄⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡠⠤⠴⢾⡁⠀⠀⢱⡀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⠀⢳⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠦⣳⠀⠀⢣⠀⠀⠀⠀⠀⠀ ⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢠⡏⠀⠹⡄⠀⠘⡇⠀⠀⠀⠀⠀ ⠈⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠓⢤⡀⢇⢸⢸⡹⠀⠀⠀⠀⠀ ⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⡇⠀⠀⠀⠱⡼⣞⣾⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣄⠀⠀⠀⠀⢀⣀⠤⢶⣟⢧⣼⠁⠀⠀⠀⡼⠤⢄⣉⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠲⠖⠒⠊⠉⠀⢠⠛⠉⢳⠃⠀⠀⠀⡴⠿⢶⣢⡝⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⢠⡎⠀⠀⠀⡼⠁⠀⠀⡽⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⠞⠀⠀⢀⡞⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣷⠲⢀⣾⣿⣿⣷⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣿⣿⠿⠟⢃⣾⣿⣿⣿⡍⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣝⣿⣹⣿⣿⣿⣀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀