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.*;
public class Main {
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		String s = sc.next();
      	String t = sc.next();
      	int slen = s.length();
      	int tlen = t.length();
      	int min = 10000;
      	for(int i=0;i<slen-tlen+1;i++){
          int count = 0;
          for(int j=0;j<tlen;j++){
            if( s.charAt(i+j) == t.charAt(j) ){
              count++;
            }
          }
          if( tlen - count < min ){
            min = tlen - count;
          }
        }
      System.out.println(min);
	}
}