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/extc++.h>

#ifndef DUMP
#define DUMP(...) void(0)
#endif

using namespace std;

int main() {
  cin.tie(nullptr)->sync_with_stdio(false);
  string s, t;
  cin >> s >> t;
  int n = size(s), m = size(t);
  int res = m;
  for (int start = 0; start + m <= n; ++start) {
    int cur = 0;
    for (int i = 0; i < m; ++i) {
      cur += s[start + i] != t[i];
    }
    res = min(res, cur);
  }
  cout << res << '\n';
}