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.HashMap;
import java.util.Scanner;

public class Main {
	public static int funct(String s,String t) {
		int n=s.length();
		int m=t.length();
		int ans=Integer.MAX_VALUE;
		for(int i=0;i<n-m+1;i++) {
			int min=0;
			for(int j=0;j<m;j++) {
				if(t.charAt(j)!=s.charAt(i+j)) {
					min++;
				}
			}
			ans=Math.min(min, ans);
		}
		return ans;
	}
	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
		String s=sc.next();
		String t=sc.next();
		System.out.println(funct(s,t));
	}

}
