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 distance(const string &s, const string &t) {
    int ans = 0;
    for (int i = 0; i < s.size(); i++) {
        ans += s[i] != t[i];
    }
    return ans;
}



int main () {
    string s, t;
    cin >> s >> t;

    int ans = t.size();
    for (int i = 0; i+t.size() <= s.size(); i++) {
        ans = min(ans, distance(s.substr(i, t.size()), t));
    }

    cout << ans << endl;

    return 0;
}