⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠂⠒⠈⠁⠈⠐⠂⠐⠄⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠤⠠⠄⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢊⠀⠀⠀⠄⠂⠁⠈⠀⠁⠂⠄⡀⠡⢀⠀⠀⠀
⠀⠀⠀⡰⠁⠄⠄⠀⡀⠀⠀⠑⠠⠀⠀⠀⠀⠀⢀⠔⠁⡀⠈⠂⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀
⠀⠀⢰⠁⠠⠐⠀⡐⠀⠀⠀⠀⠀⠡⠆⠀⠀⡠⠂⠂⠄⠈⠠⠁⠀⠀⠀⡀⠠⠀⠀⠄⡀⠀⠀⠀⠈⢀⠂⠀
⠀⠀⠰⡀⠠⠊⠀⠐⡀⠀⠐⡀⠀⠀⠈⠄⡰⢁⠁⠄⠀⠌⠀⠀⠀⠄⠁⠀⠀⠁⠠⠀⡐⠠⠀⠀⠀⠀⠌⠀
⠀⠀⠀⢅⠀⠂⠁⠀⠄⠀⠀⠀⢁⠂⠄⢀⠅⢀⠁⠒⢈⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢂⠁⠀⠀⠀⠐⠀
⠀⠀⠀⠡⠂⠠⠐⡠⠈⠄⡀⠀⠀⡈⠄⢊⠈⠡⣈⠑⡀⠀⠀⢂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⢈⠀
⠀⠀⠀⠀⠡⠁⠁⠤⠁⠄⠐⠈⠐⡠⠀⢃⢈⠑⠆⠐⡀⠀⢀⠂⠌⠀⠀⠀⠀⠀⠀⡀⢀⠀⠠⠀⠀⠀⠄⠀
⠀⠀⠀⠀⠀⠉⠤⠀⢁⠂⡀⢂⠡⠀⠁⢨⠀⠑⢂⠀⠀⢀⠂⠌⠀⠀⠀⡐⠈⠀⠁⠀⠀⠀⠌⠀⠀⢈⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠡⢂⠀⠠⢀⠂⠌⠀⡀⠃⣂⢂⠄⠠⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⢀⠂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠨⢀⡒⠀⠀⠂⠀⢀⠀⠀⡀⠂⠀⠀⠐⠀⠐⠠⠁⠀⠀⠀⠜⠰⠄⠀⠀⢀⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⢁⡀⠀⠠⠃⠐⡀⠂⠘⡀⠔⠈⠉⠀⠁⠂⡁⠀⠂⠄⠠⠀⠘⠄⣀⠀⠄⠂⠀⠀⠀⠀
⠀⣖⠒⠂⠄⠀⠂⠁⠂⡄⠁⢂⠡⠐⠄⠱⢀⠐⠀⠀⠀⠀⠀⢀⠔⡀⠀⠐⡠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠐⠐⠂⠄⠂⠀⠐⢀⠀⠐⢀⠁⠀⠀⡀⠁⠂⠐⡐⣈⠠⠌⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠁⠈⠤⠤⢀⠀⠁⠄⠠⠄⠀⠀⠠⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠘⡀⠄⡀⠂⠀⠀⠀⠈⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠰⠀⠀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠄⠠⢀⠈⠀⢁⠀⠠⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠠⠀⠂⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠈⡀⠐⠀⢂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀