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"

#define rep(i,n) for(int i = 0;i<n;i++)
#define vv(Type,Name, n,m,d)vector<vector<Type>> Name(n, vector<Type>(m, d))
#define P pair
using namespace std;
using ll = long long;


int main(void) {

	ios::sync_with_stdio(false);
	cin.tie(0);

	string str, sstr;

	cin >> str >> sstr;

	int S = str.length();
	int SS = sstr.length();

	int ans = SS;
	rep(i, S - SS+1) {
		int cnt = 0;

		rep(j, SS){
			cout << str[i + j] << flush;
			if (str[i + j] != sstr[j]) cnt++;
		}
		ans = min(ans, cnt);
		cout << endl;
	}


	cout << ans << endl;



	return 0;
}