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<stdio.h>                                                 
#include<string.h>                                                
                                                                  
int main(void){                                                   
   int cnt = 0;                                                   
   char S[1000];                                                  
   char T[1000];                                                  
   scanf("%s",S);                                                 
   scanf("%s",T);                                                 
                                                                  
   int s = strlen(S);                                             
   int t = strlen(T);                                             
                                                                  
   for(int start = 0; start <= s - t; start++){                   
      for(int i = 0; i < t; i++){                                 
         if(T[i] != S[start+i]){                                  
            cnt++;                                                
         }                                                        
      }                                                           
   }                                                              
   printf("%d",cnt);                                              
   return 0;                                                      
}