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: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define ar array

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	
	string s, t;
	cin >> s >> t;
	int n=s.size(), m=t.size();
	int ans=1e9;
	for(int i=0; i<n-m; ++i) {
		int c=0;
		for(int j=i; j<i+m; ++j) {
			c+=(s[j]!=t[j-i]);
		}
		ans=min(ans, c);
	}
	cout << ans << "\n";
}