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

int main(void){
    char S[1001];
    char T[1001];
    int sn, tn;
    int i, j, tmp, max;

    scanf("%s", S);
    scanf("%s", T);
    sn = strlen(S);
    tn = strlen(T);

    max = 0;
    for (i=0;i < sn - tn+1;++i) {
        tmp = 0;
        for (j=0;j<tn;++j) {
            if ( S[i+j] == T[j]) {
                tmp++;
            }
            if ( ((tn-j)+tmp) < max) {
                break;
            }
        }
        if ( max < tmp) {
            max = tmp;
        }
        // printf("%d : %d\n", i, tmp);
    }
    printf("%d\n", tn-max);
}