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 T = sc.nextLine();
    String S = sc.nextLine();
    
    int count = 0;
    int store = S.length();
    
    for(int i = 0; i<=T.length()-S.length();i++){
      count = 0;
      for(int j = 0;j<S.length();j++){
      	if(S.charAt(j)!=T.charAt(i+j)){
        	count++;
      	}
      }
      if (store>=count) store = count; 
    }
    System.out.println(store);
  }
}
      