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++ (Clang 10.0.0) (judge verdict: Wrong Answer)

#include <algorithm>
#include <array>
#include <cmath>
#include <deque>
#include <iomanip>
#include <iostream>
#include <limits>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>

using namespace std;

typedef long long ll;

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

  int min_cnt = s.length();
  for (int i = 0; i < s.length() - t.length(); i++) {
    int cnt = 0;

    for (int j = 0; j < t.length(); j++) {
      if (s[i + j] != t[j]) {
        cnt++;
      }
    }

    if (min_cnt > cnt) {
      min_cnt = cnt;
    }
  }

  cout << min_cnt << endl;

  return 0;
}