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 FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define REP(i, n) for (int i = (0); i < (n); ++i)
#define ALL(obj) (obj).begin(), (obj).end()
#define DEBUG(val) cout << #val << " : " << val << endl
#define MOD 1000000007

int main(){
    string s,t;
    cin >> s >> t;
    int len = t.size();
    int cnt = 0;
    REP(i,s.size()-len){
        int tmp = 0;
        REP(j,len){
            if (s[i+j] == t[j]) tmp++;
        }
        cnt = max(tmp,cnt);
    }
    cout << len - cnt << endl;
}