CF954I.Yet Another String Matching Problem

Suppose you have two strings $s$ and $t$ , and their length is equal. You may perform the following operation any number of times: choose two different characters $c_{1}$ and $c_{2}$ , and replace every occurence of $c_{1}$ in both strings with $c_{2}$ . Let's denote the distance between strings $s$ and $t$ as the minimum number of operations required to make these strings equal. For example, if $s$ is abcd and $t$ is ddcb, the distance between them is $2$ — we may replace every occurence of a with b, so $s$ becomes bbcd, and then we may replace every occurence of b with d, so both strings become ddcd.

You are given two strings $S$ and $T$ . For every substring of $S$ consisting of $|T|$ characters you have to determine the distance between this substring and $T$ .

The first line contains the string $S$ , and the second — the string $T$ ( $1<=|T|<=|S|<=125000$ ). Both strings consist of lowercase Latin letters from a to f.

Print $|S|-|T|+1$ integers. The $i$ -th of these integers must be equal to the distance between the substring of $S$ beginning at $i$ -th index with length $|T|$ and the string $T$ .