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.ArrayList;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {

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

		ArrayList<Integer> list = new ArrayList<>();

		for (int i = 0; i < s.length() - t.length() + 1; i++) {

			int count = 0;
			for (int j = 0; j < t.length(); j++) {
				if (t.charAt(j) != s.charAt(i + j)) {
					count++;
				}

			}
			list.add(count);

		}

		int minReplace = list.stream().mapToInt(x -> x).min().getAsInt();

		System.out.println(minReplace);

	}
}