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;
#define ll         long long int
#define co         cout
#define ci         cin
#define sf1(n)     scanf("%lld",&n)
#define sf2(n,m)   scanf("%lld %lld",&n,&m);
#define sf3(n,m,p) scanf("%lld %lld %lld",&n,&m,&p);
#define pf1(n)     printf("%lld\n",n);
#define mem(a,b)   memset(a,b,sizeof(a))
#define en         cout<<endl;
#define pb         push_back
#define gcd(n,m)   __gcd(n,m)
#define lcm(n,m)   ((n)/__gcd(n,m))*(m)
#define fi         first
#define se         second
#define coy        cout<< "YES"<<endl;
#define con        cout<< "NO"<<endl;
#define f(i,a,b)     for(ll i=a;i<b;i++)
#define all(x)     (x).begin(),(x).end()
#define allr(x)    (x).rbegin(),(x).rend()
#define pi         pair<ll,ll>
#define br         break;
#define i64        long long
#define PI         2*acos(0.0)
#define MAXN       3*100000
 
int main()
{
    ll n,m,k,g,mx,mn,res,c,x,y,z,w,p,q,r,l,s,t;
    string a,b;
    ci>>a>>b;
    res=10000000000;
    for(ll i=0;i<a.size()-b.size()+1;i++)
    {
        c=0;
        string ab=a.substr(i,b.size());
        for(ll j=0;j<b.size();j++)
        {
            if(ab[j]!=b[j]) c++;
        }
        res=min(res,c);
    }
    co<<res;
    return 0;
}