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 (Clang 10.0.0) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <string.h>

int main(int argc, char *argv[]) {
    char s[1001], t[1001];
    scanf("%s %s", s, t);
    long min_difference = 10000;
    for (size_t i = 0; i < strlen(s); i++) {
        long diff = 0;
        for (size_t j = 0; j < strlen(t); j++) {
            if (s[i + j] != t[j]) {
                diff++;
            }
        }
        if (diff < min_difference) {
            min_difference = diff;
        }
    }
    printf("%ld", min_difference);

    return 0;
}