⠀⠀⠀⡔⠁⠀⠀⠀⠉⡇⠔⣢⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢂⠀⠘⡦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠊⡅⠀⠀⠀⡀⡴⠛⠉⠀⠀⠀⠀⠀⠀⣐⣒⣒⣐⠐⠒⠐⠀⠂⠒⠒⠢⠄⠤⢄⢀⠀⠀⠀⠀⠀⠀⠂⠈⢧⠀⠀⠀⠀⠀⠀⠀ ⢀⠃⠀⠀⢀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡁⠀⠸⣄⠀⣃⠀⢸⠀⠀⡄⠀⠀⠀⠀⠀⠁⠈⠈⢲⠆⠀⠀⠀⠌⠳⡀⠀⠀⠀⠀⠀ ⠂⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠤⠞⠀⠇⠀⢸⡤⠀⣇⡄⠀⠳⢄⠞⠀⠀⠀⡜⠀⠀⠀⠀⠈⠀⢧⠀⠀⠀⠀⠀ ⠀⠀⠰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠒⠒⠒⠒⠒⠤⠤⠤⣀⣀⣀⢀⢏⢀⢀⠀⢠⠇⠀⠀⠀⠀⠀⠈⢾⠂⠀⠀⠀⠀ ⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠰⠀⠀⢟⡄⠀⠀⠀ ⡀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⢱⠀⠀⠀ ⠈⣔⡀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠁⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⡅⠀⠀ ⠀⠐⠉⠀⠀⠀⠀⢇⠀⢀⠠⠂⠂⠂⠂⢐⡆⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⢠⡀⡀⠌⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠀⡸⠀⠀⢸⠀⠀ ⠀⠀⢅⠀⠀⠀⠀⠐⡄⢨⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡘⠄⠀⢀⠄⠂⠈⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⣤⠊⠀⠀⠀⡋⠳⠀⠀⡃⠀ ⠀⠀⢹⡆⠀⠀⠠⠚⠆⠘⠄⡀⠀⡆⠀⠀⠀⠀⡀⠔⠀⢁⠀⠸⣀⡀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⢈⠂⠀⠀⠀⢸⠀⠈⠀⠀⡆⠀ ⠀⠀⠈⠃⠀⠀⠃⠠⠈⡂⠀⠀⡕⠃⣴⣶⣶⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠂⠀⠠⣢⡄⡀⢀⠇⠐⡎⠀⠠⡇⠀ ⠀⠀⢰⠁⠀⠀⠂⠀⠐⠄⠀⠀⢹⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠓⠂⠂⠂⠀⠂⠐⠂⠂⠁⣿⣿⣟⡂⠐⠀⠈⢺⡞⠀⠀⡓⠀⠀⡇⠀ ⠀⢀⠏⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣢⠹⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣻⣿⠇⠘⣀⠄⣱⠇⠀⠀⠔⠀⠀⠣⡀ ⠀⡚⠀⠀⠀⣀⠡⠀⠀⠀⠈⢀⣞⠁⠉⠁⠈⠉⢙⠆⠀⠀⠀⢀⣀⢀⣀⢀⠀⠀⠀⢀⡤⠿⣿⡯⡔⠊⠀⡱⠒⠁⠀⠀⡇⠀⠀⠀⢲ ⠀⠈⠢⠄⡀⠀⡹⠑⠀⡀⠀⠀⠉⠯⠤⠤⠶⠖⠋⠀⠀⠀⠀⡏⠁⠀⠀⢸⠀⠀⠀⠈⠧⢄⠀⡋⡉⣹⡾⠀⠀⠀⢀⣜⡁⠀⠀⢀⠌ ⠀⠀⠀⠀⠈⠉⠑⠠⡀⢠⡄⣡⢤⡠⣀⡠⠓⠂⠄⡀⠀⠀⠀⢧⠀⠀⠰⠃⠀⠀⠀⠀⠀⠀⣀⣖⠊⠁⠀⠀⣠⠔⡏⠁⠀⢀⡤⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠓⡟⠷⠷⠚⠈⠁⠉⠀⠀⠀⠁⠑⠒⠒⠛⠒⠒⠒⠚⠉⠉⠉⠉⠉⠙⠈⣁⡤⠖⠁⠀⠀⠉⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⢨⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢆⠀⠀⠀⠀⠀⠠⠆⠂⠚⢾⡂⠂⠂⠐⠐⠀⠢⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⢈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠂⠀⠀⠀⠀⡺⠃⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢨⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠗⠀⠀⠙⠒⠒⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠇⠀⠀⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠣⣀⣀⢘⡆⠀⠀⠀⠀⠀⠀⠀⠰⠯⠤⢄⡀⠀⠀⠀⠀⡞⠉⠁⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢻⡠⠇⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⢳⠂⠀⠀⠀⠀⠀⢀⡞⣁⡠⢤⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⣴⠛⠒⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠈⠒⠚⠃⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡮⠶⠲⢶⡒⠀⢄⠀⠄⠀⡀⢀⢀⣀⣀⠀⡀⠀⢀⢀⠀⡠⠀⢘⢦⢀⣠⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⡠⠄⠀⠈⠙⠒⠒⠚⠂⠒⠤⠶⠴⠖⠔⠒⠓⠓⠂⠒⠂⠀⠁⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⠀⡸⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠉⠐⠒⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⡟⢄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢖⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠘⡄⢆⠀⠀⠀⢀⡴⠊⠁⠀⠀⠈⠈⠲⡄⠀⢀⢀⡦⠜⠚⠉⡜⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠙⢲⢄⠀⠀⠀⠘⣼⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⢀⣌⠲⡁⠃⠀⠀⡀⠖⠃⠀⠀⠂⡀⠀⠀⠖⠀ ⠀⠀⠁⠀⠂⠐⠁⠀⠀⡊⠒⠐⠐⢐⠚⠓⠒⠂⠂⠛⠊⡁⠀⡀⠀⠀⠀⠀⠀⠀⠙⠊⠉⠁⠐⠉⠉⠉⠈⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠅⠂⠁⠀⢂⠇⡀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠅⠀⠀⠂⠀⠀⠀⠌⠀⢀⠈⡔⣀⢈⠀⠀⠀⠁⠀⠈⠠⠀⠈⠀⠀⠁⠀⠀⠀⠁⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠄⠀⠀⠀⡄⡀⠀⠀⠀⠁⠀⠀⠀⠀⠠⠈⠀⠈⠐⠠⠊⠤⠀⢄⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠂⠀⠀⠄⠀⠐⠀⠀⡀⠀⠄⢀⡀⠀⠀⠀⠀⣀⡀⠁⠀⠀⢁⠐⠀⡀⠀⠃⡠⠃⠀⠀⠀