Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

cabacc
abc

Sample Output 1

1

For example, changing the fourth character a in S to c will match the second through fourth characters in S to T.

Since S itself does not have T as its substring, this number of changes - one - is the minimum needed.

Sample Input 2

codeforces
atcoder

Sample Output 2

6

Solution in C++ (GCC 9.2.1) (judge verdict: Accepted)

    #include <bits/stdc++.h>
    using namespace std;
     
    int main() {
      string S,T;
      cin >> S >> T ;
      int ans=T.size();
      int dummy=0;
      
      for(int i=0;i<S.size()-T.size()+1;i++){
        dummy=T.size();
        for(int j=0;j<T.size();j++){
          if(T.at(j)==S.at(j+i)){
            dummy--;
          }
        }
        if(dummy<ans){
          ans=dummy;
        }
      }
      
      cout << ans << endl;
      
    }