⠀⠀⠀⠀⠀⢀⠠⠄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠄⠂⠀⠀⢸⡀⠀⠀⠀⣇⠀⣀⣀⣀⡀⠀⠀⠀⣀⣀⠤⠤⠤⠖⠒⠒⠒⠢⣄⡀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⡀⠂⠁⠀⠀⠀⠀⠀⣀⡤⠤⠖⠒⠋⡉⡄⠄⠒⠖⠖⠂⠂⠒⠛⠀⠀⠀⠈⠉⠀⠀⠀⠧⠄⠚⠉⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠉⡷⡄⠀⠀⠀⡄⠀ ⠀⠀⡐⠀⠀⠀⠀⣀⡤⠒⢉⠤⠤⢤⠤⠊⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⢃⢣⠀⠀⠀⠠⡇⠈⣆⠀⠀⠅⠀ ⠀⠈⠀⠀⠀⡠⠞⢁⠄⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠒⢓⡇⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⢁⢳⡀⠀⠀⢹⠢⡌⣆⠀⠀⠀ ⠀⠀⠀⡠⠞⠁⠐⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠁⠀⠀⡐⡇⠀⠀⠀⣐⠏⣻⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⢀⠳⡀⠀⢸⠀⠀⢛⡄⠀⠀ ⠀⠀⡞⠁⠠⠈⠀⠀⠀⠀⠀⠀⡠⡩⠀⠀⠀⠀⠀⠀⡴⠉⠀⠀⠀⠀⠀⠅⡇⠀⡀⡱⠃⠀⣽⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠂⢧⠀⠈⡆⠀⠈⡳⡀⠀ ⠀⠀⣧⠔⢀⠐⠁⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⣇⡳⠴⠞⠁⠀⠀⡞⡄⡢⠃⠀⠀⠀⠂⡀⠀⠀⠀⠀⠈⠌⡆⠀⠘⡄⠀⠑⡷⡄ ⠀⢀⢿⢀⠀⠀⠀⠀⠀⠀⢐⠎⠀⠀⠀⠀⣀⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⠉⠁⠀⠀⠀⠀⠀⠈⠑⠆⣀⠀⠀⠐⣱⠀⠀⠈⣆⣤⠇⡇ ⠀⢸⠔⡃⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⡀⡴⠃⠀⠀⠀⣀⡀⠤⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠢⢎⡆⠀⠀⠈⢙⠀⡇ ⠀⢸⡂⡇⠀⠀⠀⠀⢠⠃⠀⠀⠠⢀⠞⠀⠆⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⢐⠀⢇ ⠀⢸⠂⡄⠀⠀⠀⠀⣺⣀⠀⢂⡴⠃⠀⠀⠁⣀⠔⣒⣒⣒⡦⣰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡬⠀⠀⡀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢵⠁⠀⠀⠈⠄⢸ ⠀⢸⡁⡃⠀⠀⠀⠀⢻⣺⡴⠋⠀⠀⠀⣀⡮⠗⠁⠀⠀⠀⠉⣻⡷⡆⠀⠀⠀⠀⠀⠀⠀⢀⣳⡏⡏⠃⠁⠁⠁⠀⠀⠁⠑⣆⡀⠀⠀⠀⢸⠀⠀⠀⠁⡅⢸ ⠀⠸⡂⢰⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⢸⢻⡇⡗⠀⠀⠀⠀⠀⠀⢐⢁⣻⡯⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⡇⠀⠀⠀⠇⢸ ⠀⢸⠂⠈⡆⠀⠀⠀⠀⠀⡇⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⢘⢹⡅⡻⠀⠀⠀⠀⠀⠀⡅⣅⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢏⡆⠀⠀⢳⠀⠀⠘⠁⢸ ⠀⢨⡅⠀⠱⡄⠀⠀⠀⠀⡇⠀⣸⡃⠀⠀⠀⠀⠀⠀⠀⠀⢸⡸⣗⡿⠅⠀⠀⠀⠀⢰⠨⣥⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⡂⠀⠸⡆⠀⠀⠂⢸ ⠀⢸⠣⠀⠀⠉⠉⠙⡆⠀⡇⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣪⣯⡯⡃⠀⠀⠀⠀⠈⡃⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⢻⠀⠨⠁⢸ ⠀⠈⠦⣆⡀⠀⠀⠀⠅⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣏⣷⡏⠁⠀⠀⠀⠀⠀⣗⣗⣒⣂⡂⣒⡴⡔⢴⢐⡒⣒⢀⠀⠀⠀⠀⢹⠂⠀⠸⠄⠐⠂⢸ ⠀⠀⠀⠐⠈⠣⣄⠀⢣⠀⣷⠀⢸⡇⠀⠀⠓⠛⠋⠛⠛⠋⠉⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⡁⢠⠂⣸ ⠀⠀⠀⠀⠀⠄⠀⠣⡴⠀⢻⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢨⡁⠇ ⠀⠀⠀⠀⠀⠠⠀⠀⠘⣇⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⢼⢀⠸⠆⡇ ⠀⠀⠀⠀⠀⠀⠄⠀⠀⠈⣆⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⣤⢤⠤⠤⠶⠶⠃⠀⠀⠀⠀⣇⠀⡼⠀⠀⠀⠀⠀⣜⠇⠂⢈⡼⠀ ⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠞⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⢀⣼⢏⠌⠀⡴⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠙⡧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠛⠁⠀⠀⣰⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡴⠞⠋⡀⠀⠀⡀⡖⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢌⠛⠲⢤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡤⠔⠒⠉⠀⠀⠀⠀⡠⠐⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⣄⠀⠈⠉⠑⠛⠭⠭⣁⣉⣁⣉⣁⣙⣉⡩⠭⠍⠛⢻⡁⠁⠀⠀⠀⠀⠀⣀⠴⠋⠀⠈⠀⠀⠀⠀⠃⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡀⠀⠀⠀⠀⠀⠓⢦⡤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡇⢁⡒⠒⠄⢄⡉⠉⠉⠈⠁⠉⠉⠉⠑⢆⡀⠣⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠑⠦⡀⠈⠁⠑⠂⢄⡀⢀⡤⡏⠀⠀⠀⠀⣀⠕⠃⠐⠀⠀⠀⠁⠑⠢⡀⠀⠀⠀⠀⠀⠀⡇⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⡀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⡹⠇⠐⠓⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⡄⠀⠀⠀⠀⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⣇⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠘⡆⡠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢇⡀⣠⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠇⠀⠀⠀