⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠑⡄⠀⠀⠀⠑⠤⡀⠀⠀⠀
⠄⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡄⠀⠀⠀⠀⠈⠢⠠⠀
⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠘⡄⠠⠠⠰⠐⠑⠄⠀
⠂⢂⠂⢀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢱⠀⠀⠡⠂⠀⠅⠀
⠀⠐⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠅⠀⠀⠡⢠⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠱⠠⠨⠘⡘⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⢀⠂⠅⠀⠀⠀⠀⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠅⡂⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠌⠀⠀⠀⠀⠀⠀⢀⠂⢐⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡑⠈⡲
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠁⠀⠅⠀⠀⠀⠀⠀⢀⠎⠀⠠⠀⠀⠀⠀⠀⡊⡂⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠨⢠⠃⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⡀⢄⢂⠀⠀⠀⠄⠊⠀⠀⠨⠀⠀⠀⠀⢀⠰⠁⠀⠀⠀⠅⠀⠀⠀⡐⢰⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⢘⠌⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠂⡀⠄⠆⢅⠑⡰⡄⡢⠂⠁⠀⠀⠀⢀⠅⠀⠀⢀⠰⠈⠀⠀⠀⠀⠀⠅⠀⠀⢀⠂⢸⠀⠀⠀⠀⠀⡰⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡐⠀⡇⡦⠱⣈⢆⠒⠅⠂⠂⠂⠢⠄⠀⡂⠀⡀⠔⠈⠀⠀⠀⠀⠀⠀⠀⠱⠀⠀⡂⠀⡢⠀⠀⠀⠀⠠⠣⠀⢐⢘⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢐⢀⡠⠰⠘⠁⠂⠀⠀⠀⠀⠀⠀⠀⢀⢌⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠰⠀⢠⠁⠀⠀⠀⡐⠌⠨⡀⠅⢐⠅⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠂⠁⠀⠀⠀⠀⠀⢀⠠⡠⡤⡦⡢⡔⡬⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡂⢀⠕⠀⠀⠀⠠⠊⠀⠀⠣⠀⠠⡁⠀⠀⠀⠀⠀⢠⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⡠⡢⡣⣛⠮⠭⠁⢹⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⢀⠐⠁⢀⢀⠀⠈⠀⠐⡄⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡂⠀⠀⠀⣠⢱⡺⢉⢒⠸⡨⠂⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⣀⣀⣂⡀⠀⠀⠀⠑⢄⠀⢐⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢐⠀⠀⠀⡰⠃⣗⢣⢕⢕⠓⣕⢄⢄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⢀⠄⢣⢭⢱⠹⡪⣄⠀⠀⠐⠄⡐⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢐⠀⠀⢰⠁⢨⢃⠣⢅⡣⡝⡦⡳⡑⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡖⠅⠊⠀⣠⢳⠁⢈⠀⠀⠙⣦⠀⢀⠕⠅⠀⠀⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢐⠀⠀⡞⠀⡯⡜⣊⡗⣓⠳⢹⠌⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣰⢱⢕⡤⡌⠀⠀⠀⢸⢱⠂⠌⠀⠀⡐⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠢⠀⠀⡇⠠⡇⢅⠳⠍⠝⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣭⡺⠵⠱⡁⠀⠀⠀⠠⠃⡌⠀⡄⠊⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢑⠀⠀⠸⢘⠜⡄⠀⠀⠀⡀⠖⠁⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢰⠙⢴⢘⢈⠪⠀⠀⠀⡐⢁⢌⠄⠁⠀⠀⡂⠀⠀⠀~⠀⠀⠀⠀⠀⠀
⢆⠀⠀⠀⢐⠀⠀⠀⠀⢧⢱⡠⡰⠑⠁⠀⠀⠀⡀⡂⠅⡂⠅⡂⡈⠐⡈⠄⠂⠅⠨⠀⡣⠭⠧⢁⢎⠂⠀⠀⡐⠀⠊⠀⡐⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡐⠄⠀⠀⢐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠁⠂⠀⠡⠐⠨⠀⠅⠄⢅⠀⡇⠀⢀⠎⠀⠀⠀⡐⠀⠀⠀⡐⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡂⠑⢄⠀⠀⢇⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠣⠢⠁⠀⠀⠀⠠⠁⠀⠀⡐⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠀⠢⡀⠐⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⢀⠐⠌⠀⢀⠂⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠢⡨⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠄⠁⠀⠠⡂⠀⠅⢀⠂⠨⡀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡠⡠⠠⠠⠠⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠠⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠄⠄⠂⢊⠂⠀⠀⡠⠈⠀⠆⠀⠅⢐⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡈⠂⠢⠠⠠⠢⠒⠁⠁⠁⠀⠀⠀⠀⠠⠂⢀⠄⠊⠀⠀⠀⢅⠀⠨⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⡂⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠨⠂⠊⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠢⡀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠄⠀⠀⠨⡀⠀⠀⠈⠢⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⢑⠤⣀⠀⠀⠀⡰⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢀⠂⠁⠀⠁⢑⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡸⢐⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠢⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡂⠱⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠠⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀⠠⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⡂⠀⠀⠀⠰⠀⠀⠌⠸⠀⠀⡠⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⢑⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡁⠀⠀⡆⠀⠀⢀⢃⠀⠌⠀⠌⠀⠰⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠠⠂⠀⠀⠀⠀⠀⡰⠁⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⠀⠀⠐⢅⠀⢀⠂⠐⡀⠅⢀⠃⡰⠁⠀⠀⠀⢪⠀⠀⠀⠀⠀⠠⠁⡅⠀⠀⠀⠀⠠⠃⠀⠀⠀⢌⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢑⠀⠀⢨⢘⢀⠂⠀⠀⠀⠁⡐⠈⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠠⠁⠀⡇⠀⠀⠀⢀⠅⠀⠀⠀⠀⠈⡆⢀⠀⢄⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡐⠅⠂⡂⠀⡐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠅⠀⠀⡃⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⢘⢤⠕⠠⠡⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡰⠑⠁⠀⠇⠀⠆⠀⠅⠠⠒⡈⡈⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠸⠀⠀⠀⡇⠀⢀⠌⠀⠀⠀⠀⠀⠀⠀⠀⢣⢗⢣⢈⠢⡀⠀⢸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢘⠀⠅⠀⡇⣾⡽⢕⣭⣫⢖⣄⠀⠀⠀⠀⠀⠀⠀⠈⠂⠅⠀⠀⢀⠃⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⣍⢆⢂⠂⠀⡎⠀⠀⠀⠀⠀⠀
~⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡁⠢⠀⡗⠝⠀⡼⡊⠏⠗⣟⡆⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠌⠂⠀⠀⠀⠀⠈⠈⠐⠐⠠⡀⠀⠀⠀⠑⢌⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠈⢌⠀⠅⠀⢰⣻⢼⣄⣀⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢔⣮⡚⡜⡢⣢⣀⠈⠀⠀⠀⠀⠀⠑⢄⠸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⢸⠀⠀⢼⢈⢊⡷⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠊⣱⢽⢹⢻⠻⠾⣕⢕⣦⠀⠀⠀⠀⠀⠀⡍⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⡅⢸⠀⠀⢸⠠⠑⢏⢓⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⢿⣜⡼⡨⠀⠀⢘⡌⠻⣷⡀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⢨
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠀⠄⠅⢘⢀⠄⡀⢣⢠⠠⠃⠀⠀⠀⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡫⠓⠏⡿⣿⣶⣔⣶⢇⠀⢽⡃⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⡎
⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠠⠈⠀⠅⠀⢂⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢈⢪⡲⣝⣯⢿⢽⣺⠅⠀⠑⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⢠⠃
⠀⠀⠀⠀⠀⠀⠀⠄⠅⠊⠀⠀⠀⡅⠀⠀⢑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡀⠍⠚⠌⡑⡱⡑⠀⠀⠀⠀⢀⠎⠀⠀⠀⠄⠀⠀⠀⠀⡎⠀
⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠇⠀⠀⠄⠅⡆⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠔⢄⠆⠎⠊⠀⠀⠀⠀⢀⠎⠀⠀⢠⠁⠀⠀⠀⠀⢌⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢑⠀⠀⠅⠅⢂⠘⢄⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠅⠡⠁⠅⣠⠃⠀⠀⡄⠁⠀⠀⠀⠀⣰⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠸⡀⠢⢐⠀⠈⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⡠⢑⠀⠀⠀⠀⠀⡰⠱⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢐⠄⠈⠢⠀⠀⠀⠀⠈⠊⠢⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⢀⠔⠘⠈⠅⠀⠀⠀⢀⠜⠀⠀⡃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠈⠀⠀⠁⠀⢀⢀⢀⢀⠄⠅⠀⠉⠈⠈⠂⠂⠂⠂⠂⠂⠂⠂⢂⠊⠨⠪⠰⠐⠁⠁⠀⠀⠜⠀⠀⢀⠰⠁⠀⠀⠀⠘⢄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⡀⡐⠈⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠌⢀⠠⠐⠁⠀⠀⠀⠀⠀⠀⠀⠢
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⠀⠠⢊⢀⠂⠀⠌⠄⠄⠄⠄⠄⠄⢄⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠈⠢⡀⠀⠀⠀⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠠⠁⠀⠀⡀⠊⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠂⠂⠢⠠⣀⠀⠀⡐⠀⠀⡌⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠