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 scan = new Scanner(System.in)){

			String S = scan.next();
			String T = scan.next();

			char[]s = S.toCharArray();
			char[]t = T.toCharArray();
			int max = 0;

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

				for(int j = 0;j<t.length;j++) {
					if(s[i+j]==t[j]) {
						count++;
					}
				}
				//System.out.println(count);
				if(max<count)max = count;

			}


			System.out.println(T.length()-max);



		}


	}


}
