Problem:
Score : 200 points

Problem Statement

Given are two strings S and T.

Let us change some of the characters in S so that T will be a substring of S.

At least how many characters do we need to change?

Here, a substring is a consecutive subsequence. For example, xxx is a substring of yxxxy, but not a substring of xxyxx.

Constraints

The lengths of S and T are each at least 1 and at most 1000.

The length of T is at most that of S.

S and T consist of lowercase English letters.

Input

Input is given from Standard Input in the following format:

S
T

Output

Print the minimum number of characters in S that need to be changed.

Sample Input 1

cabacc
abc

Sample Output 1

1

For example, changing the fourth character a in S to c will match the second through fourth characters in S to T.

Since S itself does not have T as its substring, this number of changes - one - is the minimum needed.

Sample Input 2

codeforces
atcoder

Sample Output 2

6

Solution in PHP (7.4.4) (judge verdict: Wrong Answer)

<?php
fscanf(STDIN, "%s", $S);
$S = str_split($S);
fscanf(STDIN, "%s", $T);
$T = str_split($T);

$min_count;
for ($i = 0; $i < count($S)-2; $i++) {
    $count = 0;
    for ($j = 0; $j < count($T); $j++) {
        if ($S[$i+$j] !== $T[$j]) {
            $count++;
        }
    }

    if ($count < $min_count || $i == 0) {
        $min_count = $count;
    }
}

echo $min_count . "\n";