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) {

        Scanner sc = new Scanner(System.in);
        String S = sc.nextLine();
        String T = sc.nextLine();


        int changeCount = 1001;

        for (int i = 0; i <= S.length() - T.length(); i++) {

            int count = 0;
            for (int j = 0; j < T.length(); j++) {


                if (T.charAt(j) != S.charAt(i + j)){
                    count++;
                }
            }

            if (count < changeCount) {
                changeCount  = count;
            }
        }
        System.out.println(changeCount);
    }
}