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.

Examples

Input

cabacc
abc


Output

1


Input

codeforces
atcoder


Output

6
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		try(Scanner scanner = new Scanner(System.in)) {
			String s = scanner.nextLine();
			String t = scanner.nextLine();

			int roopCount = (s.length() -  t.length()) + 1;

			int ans = t.length();
			char[] sArr = s.toCharArray();
			char[] tArr = t.toCharArray();
			for (int i = 0; i < roopCount; i++) {
				int index = i;
				int res = 0;
				boolean isEqual = false;
				for (char tc : tArr) {
					if (tc == sArr[index++]) {
						isEqual = true;
						res++;
					}
				}
				if (isEqual) {
					ans = Math.min(ans, (t.length() - res));
				}
			}

			System.out.println(ans);
		}
	}
}