⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠄⢤⡀⠠⡖⠋⠁⠀⠀⠀⢰⢄⠀⠀⠀⠰⡀⠀⠀⢀⡤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⡇⠀⢇⣀⠴⠒⠀⠀⡅⠈⠳⡀⠀⠀⣅⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⢗⠊⠁⠀⠀⡇⢀⣠⠀⠀⡏⠉⠁⠑⠀⠀⡏⠓⢄⠀⠀⠀⠀⠀⢀⡄⢠⠋⢈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠏⢆⠀⠀⢠⡄⠈⣆⠀⠀⠀⠉⣁⠠⠐⠂⠊⠈⠉⠉⠉⠒⠢⢄⠀⠉⠆⠀⠀⡠⠋⠤⠋⠀⡼⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠈⡄⠀⠘⠜⣆⠀⢀⣤⡎⠁⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⢱⡀⠀⢀⠆⠁⠌⠁⢀⠔⠁⣠⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢱⠀⠘⠄⠀⠠⡀⠣⡀⢸⠙⡄⠀⠀⠀⢏⠀⠤⠥⣔⠾⠃⠀⠀⠀⣀⠔⠁⠄⠃⠀⠶⠃⠐⠁⢉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠧⠀⠈⢆⠀⠑⢆⠈⠑⠃⣍⠢⠀⠀⢨⠇⠉⢹⠀⠀⠀⠀⣠⠺⠅⠆⠉⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠁⠢⠄⡃⣄⠀⠀⠀⠁⠐⠃⠀⠀⠈⠠⠄⠩⠃⠀⠀⠀⢀⠜⠉⠀⡄⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⡀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠁⠀⠀⠔⠁⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠈⠂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠔⠁⠁⠀⠀⠄⠊⠀⠀⠀⡀⠁⠀⠀⠀⠀⡀⠔⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣜⣦⠀⠀⠀⠀⠀⠈⠈⠐⠐⠤⠄⠀⠀⠀⠀⠀⣀⠤⠐⠀⠀⠀⢀⡤⡾⠃⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠐⠈⠀⠁⠀⠀⠀⠀⠁⢍⠙⠂⠀⠢⠤⢀⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⡡⠖⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠁⢄⡀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠤⠐⠉⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡀⠠⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠰⠀⠀⠀⠀⡆⠀⠀⠉⠉⠓⠒⠒⠂⠋⠃⢦⠀⠀⢠⠊⠁⠀⠁⠀⠀⠀⠀⠀⠀⠰⠀⠀⠤⠐⠂⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⣀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠃⠀⠀⠀⠑⠤⡀⠀⠀⠀⠀⢀⡇⠀⢠⠈⠳⠤⣄⠀⠀⠀⡠⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠈⠐⠢⠤⣩⡏⠀⡄⠈⡆⠀⠀⣯⡳⠄⠊⠀⠀⠀⠀⠀⠀⠀⠉⠈⠁⠁⠒⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠁⠀⢠⠃⠀⢧⠀⢀⠇⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⡞⠀⠖⠀⠀⠀⠀⠀⠀⠀⠈⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢸⠀⠀⠈⠁⠀⠀⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠈⡇⠀⠀⠀⢰⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢰⠇⠀⢸⠱⡈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢭⠈⣄⢸⠀⠙⢵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⢿⣄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀