⢀⠄⢂⠤⠐⡠⠄⢂⠤⠐⡠⠄⢂⠤⠐⡠⠄⢂⠤⠐⡠⠄⢂⠤⠐⡠⠄⢂⠤⠐⡠⠄⢂⠤⠐⡠⠄⢂⠤⠐⡠⠄⢂⠤⠐⡠⠐
⠡⠌⢂⠄⢃⡐⠌⡠⢂⠡⡐⠌⠄⡂⠥⠐⡨⠄⢂⠥⠐⡨⠄⢂⠥⠐⡨⠄⢂⠥⠐⡨⠄⢂⠥⠐⡨⠄⢂⠥⠐⡨⠄⢂⠥⠐⢡
⠰⠈⡄⠊⠤⠐⢂⡁⢂⠡⡐⠌⢂⡁⠆⡑⢠⠘⡀⠆⡑⢠⠘⡀⠆⡑⢠⠘⡀⠆⡑⢠⠘⡀⠆⡑⢠⠘⡀⠆⡑⢠⠘⡀⠆⡉⠤
⠆⢡⠐⡉⠄⢃⠂⠌⠤⠁⡔⢈⠂⠔⡐⡈⢄⠢⢁⠒⡈⢄⠢⢁⠒⡈⢄⠢⢁⠒⡈⢄⠢⢁⠒⡈⢄⠢⢁⠒⡈⢄⠢⢁⠒⡈⢄
⠰⢁⠂⡌⠰⠁⡌⠌⡐⠡⡐⡈⠌⢂⠔⡁⠢⡐⢁⠢⢁⠢⠐⣁⠢⢁⠢⠐⣁⠢⢁⠢⠐⣁⠢⢁⠢⠐⣁⠢⢁⠢⠐⣁⠢⢁⠢
⠒⢠⢁⠢⢁⠎⡐⡈⠔⠡⡐⠄⡩⢀⠆⠰⠁⡄⠃⡄⢃⠰⠁⡄⠢⢁⠢⠑⡀⠆⣁⠢⠑⡀⠆⣁⠢⠑⡀⠆⣁⠢⠑⡀⠆⣁⠢
⠊⢄⠂⣂⠡⢂⡐⠌⠰⢁⠰⢈⡐⠤⠘⣀⠃⢄⠃⡰⠈⢄⠃⠤⠑⢂⠡⡘⢀⠒⡀⠆⡑⡈⠔⡀⠆⡑⢈⠔⡀⠆⡑⢈⠔⡀⠆
⠉⠀⠒⠀⠆⢡⠐⣈⠡⠌⡐⢂⠰⢀⠃⠤⠘⢠⠘⠠⡁⠆⡘⡀⠣⢈⠔⡀⢃⠌⡐⢂⠡⡐⠌⠰⠐⡈⢄⠒⡈⠔⡈⢄⠒⣈⠐
⠀⠀⠀⠀⠀⠀⢀⢠⠒⠈⠐⠌⡐⢨⢀⢃⠘⠠⢈⠡⡐⠌⡐⠄⢃⠢⢐⡈⠄⡒⢈⠰⠐⡐⠨⡁⠜⡀⠆⠌⡐⢂⠡⢂⠢⠄⡡
⠀⠀⠀⠀⠀⠠⢃⠎⠁⠀⠀⠔⠉⠀⡀⢀⠂⠠⠁⠒⠠⠘⡀⠎⡐⠄⢃⠐⠌⡠⠁⠆⡑⢈⠡⠐⡂⢌⠰⢁⢂⠡⠒⠠⠒⣈⠐
⠀⠀⠀⠀⠀⠀⠁⡀⠀⠐⡂⢀⡐⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⢂⠜⠠⡁⠜⡐⡈⠤⢁⠱⠀⠆⠒⡈⢄⠢⢁⠃⢒⠠⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠰⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠃⠐⠂⠀⠁⠒⠈⢀⠁⠈⠀⠀⠀⠀⠁⡈⠀⠒⢈
⠀⠀⠂⣄⠠⠀⠀⠀⠀⠂⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠂⡜⣀⠄⠀⠀⠆⢀⠆⠣⠀⣂⠐⠀⠃⠉⠀⢈⠕⠨⠀
⠐⡈⢡⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⢀⠀⠅⠀⠒⠈⢸⠡⠃⠘⡌⠀⠰⠀⡜⠢⠀⠀⠀⠀⠀⠈⠁⠐
⡀⠈⠁⢀⠠⡄⠆⠁⠉⠀⡒⠀⢀⠆⢀⠑⠀⠁⠀⠐⠒⠀⠀⠂⠠⠀⣈⠁⠀⠊⠀⠀⠌⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡
⠀⠈⠀⠀⠀⠀⠀⠄⠆⠀⠀⠀⠀⠀⠈⠐⠈⠂⡄⢢⡑⠂⠈⠔⠁⠠⠀⠀⠀⠀⠀⠀⡀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⢐⡘⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢠⠊⡁⠂⠔⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠
⠀⠀⠀⠀⠀⠀⢀⠠⡄⠊⠀⢀⠄⣌⠃⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢄⠀⠀⠀⢠⠰⡌⡁⣀⠰⠈⡜⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡠⠂⡄⢀⠀⠀⠀
⠀⢎⠥⣋⢆⠳⠈⠁⠀⡀⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢁⠒⡈⢄⠢⢀⠀
⠙⠈⠂⠁⠀⠀⡀⡄⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢊⡐⠌⢠⠂⡁⠆
⠀⠀⠀⡀⡔⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠤⢐⡈⢂⠔⠡⡈
⡄⠆⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⢃⠐⡈⠄⢃⡐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠑⡠⠃⢌⠘⡠⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠄⡑⠂⡌⠄⡡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠢⠁⡜⠠⢡⠀⠄⠀⠀⠀⢀⠃⢄⠃⡰⢈⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡠⢂⡑⠠⡑⡀⠎⡈⠔⡠⢀⠠⢈⠂⡌⠐⡄⢃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠁⠆⡠⠑⣀⠒⢠⢁⠒⡀⠆⡐⢂⠡⡐⠡⠐⢂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⡉⠰⣀⠱⢀⡘⢀⠆⢨⠐⠌⡐⡈⠔⣀⠃⡉⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡠⠌⡐⠄⢂⠆⠠⠃⠌⢄⠊⠤⠁⡔⢈⠄⢂⠡⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡔⠠⢡⠘⠠⠌⢡⠘⡈⢄⠊⠄⣃⠰⠈⡄⢃⠰⢈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡡⠄⢃⠰⢈⠡⠘⡀⠆⣁⠢⠘⡐⠠⠂⠥⢐⡈⠔⢂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡠⠘⡀⠆⢡⠈⠅⠒⡈⠄⣂⠑⡈⢡⠘⢠⠂⠰⢈⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠁⠆⢡⠘⢠⠘⡈⢡⠐⢡⠠⠘⢠⠁⡌⠂⢌⡁⠆⣈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⡉⠄⠃⡌⠄⣂⠡⢂⡘⠀⠆⡉⠄⠒⡠⠉⡄⠰⠈⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠰⢈⠡⡐⠌⡀⠆⢡⠠⠉⡔⠈⡌⢡⠐⠡⡐⠡⢡⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣈⠰⢈⡐⠄⢊⡐⠌⢄⠢⠑⣀⠃⡐⠂⡌⠡⡐⢁⠢⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠔⡐⢂⠰⢈⢂⠰⠈⡄⠢⠑⡠⠘⢠⢁⠂⠥⠐⣁⠢⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠒⢠⠁⡒⢈⠄⠢⠑⡠⢁⠃⢄⠃⠢⠄⡉⠄⢃⠄⠢⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡘⡀⠆⡁⠆⢨⠁⠆⣁⠢⠘⡠⠌⡁⠆⡁⠎⡀⠎⡐⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡀⢀⠀⡀⠀⠀⠠⠘⢠⠐⠡⡐⠌⢂⡘⢠⠐⠄⣃⠰⠠⢁⠢⢁⠢⢁⠒⢠⠊