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 <iostream>
#include <string>
#include <vector>

using std::cin;
using std::cout;
using std::endl;
using std::string;
using std::vector;

int main()
{

    string s, t;
    cin >> s >> t;

    int sum = 0, tmp;
    for (int i = 0; i < s.length() - t.length() + 1; i++)
    {
        tmp = 0;
        for (int j = 0; j < t.length(); j++)
        {

            if (s[i + j] == t[j])
            {
                tmp++;
            }
        }
        if (sum < tmp)
        {
            sum = tmp;
        }
    }
    cout << t.length() - sum << endl;
    return 0;
}