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 <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;

#define fi first
#define se second
#define m_p make_pair
#define p_b push_back
#define e_b emplace_back
#define all(x) (x).begin(),(x).end()
#define uniq(x) ((x).erase(unique(all(x)),(x).end()))
#define sz(x) ((int)(x).size())

#define REP(i,m,n) for(int i=(int)(m);i<(int)(n);i++)
#define rep(i,n) REP(i,0,n)

#ifdef LOCAL//compile with -DLOCAL
#define debug(x) cerr<<"LINE"<<__LINE__<<" : "<<#x<<" = "<<(x)<<endl
#define debug_vec(x) cerr<<"LINE"<<__LINE__<<" : "<<#x<<" = ";\
  rep(i,sz(x)){cerr<<x[i]<<" ";}cerr<<endl
#define debug_mat(x) cerr<<"LINE"<<__LINE__<<" : "<<#x<<" = "<<endl;\
  rep(i,sz(x)){rep(j,sz(x[i])){cerr<<x[i][j]<<" ";}cerr<<endl;}cerr<<endl
#else
#define debug(x) void(0)
#define debug_vec(x) void(0)
#define debug_mat(x) void(0)
#endif

template<class T> bool chmax(T &a,T b){if(a<b){a=b;return true;}return false;}
template<class T> bool chmin(T &a,T b){if(a>b){a=b;return true;}return false;}


int main(){
  ios_base::sync_with_stdio(false);cin.tie(0);
  string S,T;
  cin >> S >> T;

  int ans=1e9;
  rep(i,sz(S)){
    int cnt=0;
    rep(j,sz(T)){
      if(i+j>=sz(S)){
        cnt=1e9;
        break;
      }
      if(S.at(i+j)!=T.at(j))  cnt++;
    }
    chmin(ans,cnt);
  }
  cout << ans << endl;

  return 0;
}