⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⢀⠀⠤⡀⠒⡨⢈⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢐⢂⢉⡉⡢⡨⠠⡁⠌⠢⡈⠂⠔⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢔⠁⠦⠐⠔⠀⠄⠠⠀⠄⢈⠈⡁⠘⠈⠜⢠⠀⡀⣀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠐⠁⠄⢀⠐⠀⠂⠠⠈⡀⠂⠐⠀⢄⠰⠀⡉⠀⠂⠐⠂⠄⠤⢀⠈⣈⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠊⠠⠀⡁⠐⠀⠄⢀⠁⡈⠀⡂⠠⠈⣀⠑⢅⠔⠀⠄⢈⠀⡁⠐⠀⠂⢀⠖⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⠔⠈⠄⢈⠀⠂⠠⠀⡈⠀⠂⠠⠀⡀⠢⠈⡑⠔⠡⠑⠀⠐⠀⠂⠠⠀⠄⣈⠄⠁⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠠⠊⠠⠀⠂⠐⠀⠄⢀⠁⣐⠠⠄⠘⢀⠁⠄⠠⠈⢆⠈⡈⠂⡈⠠⢁⢈⡀⠆⠘⠨⠀⡒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢂⠁⠄⢈⠀⡁⠐⠀⠤⠂⠄⠐⢀⠁⠄⠐⠀⠂⠐⠀⠂⡈⠐⠤⠘⢀⠁⠄⢀⠁⠐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠢⡐⠠⠂⡀⢉⠈⡀⠂⡀⠁⠄⠐⢀⠁⡈⢀⠁⠈⡤⢐⠄⠂⠐⠀⠐⠀⠄⢀⠁⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠑⠄⢢⠠⠀⠄⠠⠀⢄⠢⡠⡡⡠⡠⣠⠠⠤⡊⢔⠁⡀⢁⠈⡀⢁⠐⢀⠖⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠜⡨⢂⢊⠢⠄⠄⠠⠀⠄⠠⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⠣⡘⢄⠣⡈⠊⠀⠂⠐⠀⠂⠐⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢆⢄⡀⡠⡐⢔⠡⡂⢕⠨⡂⠕⢀⠈⡀⢁⠈⡀⠁⠌⢰⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⠈⢆⢘⠄⡣⢘⠄⡣⠘⠄⠠⠀⠄⠠⠀⠄⡘⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⢌⢅⠱⡈⢆⠱⡈⢆⠱⠈⡀⠂⠐⠀⠂⠐⠀⡒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢎⢌⠢⡂⢕⠨⡂⢕⠨⠢⡐⠢⠀⡈⢀⡁⡨⠄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡲⠈⢊⡣⢈⠆⡱⡈⡊⡢⣑⠕⠔⠂⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠠⡃⢜⢔⠕⠌⢊⠀⠄⠈⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠱⠁⠁⠀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀