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 ld long double
#define pb push_back
 
#define mo 1000000007
#define inf 1e18
#define rep(i, s, n) for (ll i = s; i < n; i = i + 1)
#define rrep(i,s,n) for(ll i=s;i>=n;i--)

ll mod(ll n) { return (n % (ll)mo + (ll)mo)%(ll)mo;}


int main(){
	
	string s,t;
	cin>>s>>t;
	ll n = s.size();
	ll sz = t.size();
	ll ans = inf;
	rep(i,0,n){
		
		if(i+sz<n){
		ll k = 0;
		ll su = 0;
		rep(j,i,i+sz){
		
			if(s[j]!=t[k]) su++;
			k++;
		}
		
		ans = min(ans,su);}
	}
	
	cout<<ans<<endl;
}