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>

typedef long long ll;
using namespace std;

#define _overload(_1, _2, _3, name, ...) name
#define _rep(i, n) for(ll i = 0; i < (ll)n; i++)
#define _repi(i, s, n) for(ll i = (ll)(s); i < (ll)n; i++)
#define REP(...) _overload(__VA_ARGS__, _repi, _rep,)(__VA_ARGS__)
#define all(v) (v).begin(),(v).end()
#define UNIQUE(v) (v).erase( unique( all(v) ), (v).end() );
#define MOD 1000000007

int main(){
	string s, t;	cin >> s >> t;
	ll ans = 1001;

	REP(i, s.length() - t.length()){
		ll tmp = 0;
		REP(j, t.length()){
			if( s[i+j] != t[j] ){
				tmp++;
			}
		}
		ans = min(ans, tmp);
	}

	cout << ans << endl;

	return 0;
}