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) {
		// TODO 自動生成されたメソッド・スタブ

		Scanner sc = new Scanner(System.in);
		String s = sc.next();
		String t = sc.next();
		sc.close();

		int ans=1000;
		int len = t.length();

		String[] arrayT = t.split("");
		for(int i=0;i<=s.length()-len;i++) {
			int tmp = 0;
			String str = s.substring(i, i+len);
			String[] arrayS = str.split("");
			for(int j=0;j<len;j++) {
				if(!arrayS[j].equals(arrayT[j])) {
					tmp++;
				}
			}
			ans = Math.min(tmp, ans);

		}

		System.out.println(ans);

	}
}
