⠀⠀⡐⡊⠊⠀⠀⠀⠀⠀⠀⠀⡀⠂⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⢢⡤⡀⠀⠀⠀⠀ ⡀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⣔⠅⡩⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠚⢜⣦⢄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠓⣠⡀ ⠅⠀⠀⠀⠀⠀⠀⠀⠀⡄⣆⡤⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢑⠠⢂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⡔⠉⡔⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠨⡉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡌⡄⡲⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠅⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠓⠇⡁⠀⡀⣊⡃⡀⡀⡀⣀⣀⣀⡀⡀⠀ ⠀⠀⠀⠀⠀⢨⡅⡎⠰⡦⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡁⢎⠣⠃⠀⠄⡑⠅⣆⣀⠠⠊⠉⠉⠉⠑⠉⠊ ⡀⣀⠀⡀⠀⢐⠈⣇⡀⠁⠻⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠛⠂⠀⠀⣈⠊⡜⠕⡡⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠄⠄⡠⡔⡄⡡⡑⡦⣕⣄⢀⢀⠀⣀⡀⣀⣠⢄⡆⡾⠇⡉⡕⢄⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⡥⠏⡅⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⠑⠓⡤⣈⢀⠃⡅⡁⡀⢀⠠⠀⠁⠀⠀⠀⠘⠠⠥⠢⡌⢤⢔⠄⡄⣂⢃⠍⠃⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠃⡑⠂⢄⠂⢀⠀⠀⢄⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⡨⠢⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢆⡁⠓⢔⣀⠀⠙⣠⡀⣀⡀⠀⠀⠀⡐⣒⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⣤⣷⢿⣻⣏⠙⠍⣯⡎⢗⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⡉⣿⣭⢿⠲⠀⠉⡗⡨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢹⡇⣭⣿⡏⡿⣟⠀⠀⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣠⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣟⣯⣿⣧⡯⠑⣗⡮⢏⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣹⠡⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢚⣪⠍⢿⣿⡟⠍⢣⠒⠊⠀⠈⠐⠠⢀⢀⠀⠀⠀⠀⠀⢀⠀⣀⣀⠀⠠⠈⡄⠃⠂⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠒⢈⠁⡲⠂⠀⠀⠂⢁⠀⡃⠁⠀⠀⠀⠀⠠⠴⠁⠎⠈⠄⠁⠐⠂⠂⠺⠎⠂⠁⠀⠀⠀⠅⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⡀⡄⠒⠈⠁⠀⠀⠀⢀⠢⡅⠀⠀⠀⢈⠂⠄⣅⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠤⡂⣀⣈⠌⠑⠁⠁⠀⠀⠀⠀⠀⠀⠀⠠⣲⠀⠀⠀⠀⠠⡀⠈⡘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⢀⠄⢼⡿⠀⠀⠀⠀⠤⡑⠑⡗⡉⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠔⡡⢓⡕⠁⠘⡢⠀⠦⠉⠁⠋⠈⠁⡉⡏⠘⠚⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⡁⡊⠄⠁⠀⠀⡂⠄⠭⡃⠀⠀⠀⠀⠀⡀⠀⢈⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡯⠍⠀⠀⠀⠀⠀⢄⠅⢉⢅⡀⠀⠀⠀⠀⠄⠀⠄⠨⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡋⢄⡀⠀⡀⡀⠔⠐⠀⠠⠂⢃⢀⠀⡀⡀⡁⡂⢄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢄⡂⡁⡀⡀⠀⢀⢃⠂⠠⠀⠐⠔⡀⡀⠀⡀⢄⡋⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠨⠄⠀⠄⠀⠀⠀⠀⡀⢅⢉⠅⢄⠀⠀⠀⠀⠀⠍⡯⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⢈⠀⡀⠀⠀⠀⠀⠀⡃⠭⠄⡂⠀⠀⠁⠄⡊⡁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠚⠘⡏⡉⠁⠈⠋⠁⠉⠦⠀⡢⠘⠁⡕⢓⡡⠔⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⡉⡗⠑⡑⠤⠀⠀⠀⠀⡿⢼⠄⢀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡘⠈⡀⠠⠀⠀⠀⠀⣲⠠⠀⠀⠀⠀⠀⠀⠀⠁⠁⠑⠌⣈⣀⡂⠤⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣅⠄⠂⢈⠀⠀⠀⡅⠢⢀⠀⠀⠀⠁⠈⠒⡄⡀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠅⠀⠀⠀⠁⠂⠎⠺⠂⠂⠐⠁⠄⠈⠎⠁⠴⠠⠀⠀⠀⠀⠁⡃⠀⢁⠂⠀⠀⠂⡲⠁⢈⠒⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠂⠃⡄⠈⠠⠀⣀⣀⠀⢀⠀⠀⠀⠀⠀⢀⢀⠠⠐⠈⠀⠊⠒⢣⠍⡟⣿⢿⠍⣪⢚⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⠡⣹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣅⢏⡮⣗⠑⡯⣧⣿⣯⣟⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣷⠀⠀⣟⡿⡏⣿⣭⡇⢹⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⡗⠉⠀⠲⢿⣭⣿⡉⡏⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢗⡎⣯⠍⠙⣏⣻⢿⣷⣤⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⣒⡐⠀⠀⠀⡀⣀⡀⣠⠙⠀⣀⢔⠓⡁⢆⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⡀⠢⡨⠐⢀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢄⠀⠀⢀⠂⢄⠂⡑⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠃⠍⢃⣂⡄⠄⢔⢤⡌⠢⠥⠠⠘⠀⠀⠀⠁⠀⠠⢀⡀⡁⡅⠃⢀⣈⡤⠓⠑⠁⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡅⠏⡥⢔⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⡕⡉⠇⡾⡆⢄⣠⣀⡀⣀⠀⢀⢀⣄⣕⡦⡑⡡⡄⡔⡠⠄⠄⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⡡⠕⡜⠊⣈⠀⠀⠂⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠻⠁⡀⣇⠈⢐⠀⡀⠀⣀⡀ ⠊⠉⠑⠉⠉⠉⠊⠠⣀⣆⠅⡑⠄⠀⠃⠣⢎⡁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡦⠰⡎⡅⢨⠀⠀⠀⠀⠀ ⠀⡀⡀⣀⣀⣀⡀⡀⡀⡃⣊⡀⠀⡁⠇⠓⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢀⠅⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠁⡲⡄⡌⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡉⠨⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⡔⠉⡔⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢂⠠⢑⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⡤⣆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠅ ⡀⣠⠓⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⢄⣦⢜⠚⠂⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡩⠅⣔⠀⠀⠀⠀⠀⠀⠀⠀⠁⢠⡀ ⠀⠀⠀⠀⡀⡤⢢⠙⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡂⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠂⡀⠀⠀⠀⠀⠀⠀⠀⠊⡊⡐⠀⠀