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)


// Problem : B - Substring
// Contest : AtCoder - AtCoder Beginner Contest 177
// URL : https://atcoder.jp/contests/abc177/tasks/abc177_b
// Memory Limit : 1024 MB
// Time Limit : 2000 ms
// Powered by CP Editor (https://github.com/cpeditor/cpeditor)

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;

//Macros

#define ll long long
#define db long double
#define pb push_back
#define eb emplace_back
#define pii pair<int,int>
#define vi vector<int>
#define vii vector<pii>
#define mi map<int,int>
#define mii map<pii,int>
#define fi first
#define se second
#define all(a) (a).begin(),(a).end()
#define sz(x) (int)x.size()
#define mod 1000000007
#define EPS 1e-9
#define io ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)
#define inf 1e10
#define PI acos(-1.0)
#define int long long
template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define N 100005

//Solution

void solve(){
    string s,t;
    cin>>s>>t;
    int ans = inf;
    for(int i=0;i<sz(s);i++){
        if(i+sz(t)-1 >= sz(s)) break;
        int cur = 0;
        for(int j=0;j<sz(t);j++){
            if(s[i+j] != t[j]) cur++;
        }
        ans = min(ans,cur);
    }
    cout<<ans;
}

signed main(){
    io;
    //freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout);
    int tests;
    //cin>>tests;
    tests = 1;
    for(int test=1;test<=tests;test++){
        //cout<<"Case #"<<test<<": ";
        solve();
    }
    return 0;
}