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/stdc++.h>
// Begin Header {{{
using namespace std;
using ll = long long;
using P = pair<ll, ll>;
using Graph = vector<vector<ll>>;
#define rep(i,n) for(ll i=0; i<n; i++)
#define loop(i, j, n) for(ll i=j; i<n; i++)
#define all(x) (x).begin(), (x).end()
constexpr int INF  = 0x3f3f3f40;
const long long mod=1e9+7;
const long double PI = acos(0);
// }}} End Header
int main() {
	ll min = INF, cnt=0;
	string s, t;
	cin >> s >> t;
	for(ll i=0; i+t.length()<=s.length(); i++){
		string k = s.substr(i,t.size());
		//cout << k << endl;
		cnt = 0;
		rep(j,k.size()){
			if(k[j] != t[j]) cnt++; 
		}
		if(cnt <= min) min = cnt;
	}
	cout << min << endl;
	return 0;
}