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 <iostream> // cout, endl, cin
#include <string> // string, to_string, stoi
#include <vector> // vector
#include <algorithm> // min, max, swap, sort, reverse, lower_bound, upper_bound
#include <utility> // pair, make_pair
#include <tuple> // tuple, make_tuple
#include <cstdint> // int64_t, int*_t
#include <cstdio> // printf
#include <map> // map
#include <queue> // queue, priority_queue
#include <set> // set
#include <stack> // stack
#include <deque> // deque
#include <unordered_map> // unordered_map
#include <unordered_set> // unordered_set
#include <bitset> // bitset
#include <cctype> // isupper, islower, isdigit, toupper, tolower
#include <cmath>
#include <limits>
#define ALL(x) (x).begin(),(x).end()
#define rep(i, n) for(int i = 0; i < (int)(n); i++)
#define int_INF 2147483647
#define pint_INF 2000000000
#define ll_INF 	9223372036854775807
#define MOD 1000000007
#define vi vector<int>
#define vvi vector<vector<int>>
#define vvll vector<vector<long long>>
#define vvc vector<vector<char>>
#define vll vector<long long>
#define pii pair<int,int>
#define vpii vector<pair<int,int>>
#define sysp system("PAUSE")
#define pno cout << "no" << endl
#define pyes cout << "yes" << endl
#define pYes cout << "Yes" << endl
#define pNo cout << "No" << endl
#define pNO cout << "NO" << endl
#define pYES cout << "YES" << endl
#define endl "\n"
#define pi 3.14159265358979
using namespace std;
using ll = long long;

int main(){
    string s,t; cin >> s >> t;
    int ans = 10e7;
    for(int ind = 0; ind + t.size() <= s.size(); ind++){
        int diff = 0;
        string s_partial = s.substr(ind,t.size());

        for(int j = 0; j < t.size(); j++){
            if(s_partial[j] != t[j]){
                diff++;
            }
        }

        ans = min(ans,diff);
    }

    cout << ans << endl;
    sysp;
}