A11757. Scissors

Jenya has recently acquired quite a useful tool — $k$ -scissors for cutting strings. They are generally used for cutting out two non-intersecting substrings of length $k$ from an arbitrary string $s$ (its length should be at least $2·k$ in order to perform this operation) and concatenating them afterwards (preserving the initial order). For example, with the help of $2$ -scissors you can cut $ab$ and $de$ out of $abcde$ and concatenate them into $abde$ , but not $ab$ and $bc$ since they're intersecting.

It's a nice idea to test this tool before using it in practice. After looking through the papers, Jenya came up with two strings $s$ and $t$ . His question is whether it is possible to apply his scissors to string $s$ such that the resulting concatenation contains $t$ as a substring?

The first line contains three integers $n$ , $m$ , $k$ $(2<=m<=2·k<=n<=5·10^{5})$ — length of $s$ , length of $t$ and the aforementioned scissors' parameter correspondingly.

The next two lines feature $s$ and $t$ consisting of lowercase latin letters.

If there is no answer, print «No».

Otherwise print «Yes» and two integers $L$ and $R$ denoting the indexes where cutted substrings start ( $1$ -indexed). If there are several possible answers, output any.

In the first sample case you can cut out two substrings starting at $1$ and $5$ . The resulting string baaaab contains aaaa as a substring.

In the second sample case the resulting string is bccb.