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++ (Clang 10.0.0) (judge verdict: Accepted)

//

//
#include <vector>
#include <set>
#include <map>
#include <array>
#include <iostream>
#include <cstdio>
#include <cstdint>
#include <algorithm>
#include <numeric>
#include <bitset>
#include <iomanip>
//
using ll = long long;
using namespace std;
#define rep(i,n) for(ll i=0;i<(n);++i)
#define outD(fpv) cout << setprecision(20) << fpv << endl;
inline void yes(bool cond) { cond ? puts("Yes") : puts("No"); }
inline void YES(bool cond) { cond ? puts("YES") : puts("NO"); }
template<typename Type> inline void chmin(Type& a, Type b) { if (a > b) a = b; }
template<typename Type> inline void chmax(Type& a, Type b) { if (a < b) a = b; }
template<typename Arr, typename Type> inline void fill(Arr& arr, Type v) { std::fill(arr.begin(), arr.end(), v); }
template<typename Type> inline void sort(Type& arr) { std::sort(arr.begin(), arr.end()); }
template<typename Type> inline void reverse(Type& arr) { reverse(arr.begin(), arr.end()); }
template<typename Type> inline Type nth(vector<Type>& arr, size_t pos) { std::nth_element(arr.begin(), arr.begin() + pos, arr.end()); return arr[pos]; }
template<typename Type> inline void unique(Type& arr) { sort(arr); arr.erase(unique(arr.begin(), arr.end()), arr.end()); }
constexpr ll INF_I = std::numeric_limits<ll>::max();
constexpr ll BIGP = 1000000007L;
constexpr double INF_F = std::numeric_limits<float>::infinity();
constexpr double PI = 3.14159265358979323846L;
using P = pair<ll, ll>;
//
int main()
{
    cin.tie(0); ios::sync_with_stdio(false);
    //
    string S, T;
    cin >> S >> T;
    //
    ll mn = 100000000000;
    rep(i, S.size() - T.size() + 1)
    {
        ll cnt = 0;
        rep(j,T.size())
        {
            cnt += S[i+j] == T[j] ? 1 : 0;
        }
        chmin(mn, ll(T.size() - cnt));
    }
    cout << mn;
    //
    return 0;
}