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 scanner = new Scanner(System.in);
      String s = scanner.nextLine();
      String t = scanner.nextLine();
      int counter = 0;
      int count = 0;
      for (int j = 0; j <= (s.length() - t.length()); j++) {
        for (int i = 0; i < t.length(); i++) {
          if (t.charAt(i) == s.charAt(j + i)) {
            counter = counter + 1;
          }
        }
        if (count == 0 || counter > count) {
          count = counter;
        }
        counter = 0;
      }
      System.out.println(t.length() - count);
    }
}
