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# (Mono-mcs 6.8.0.105) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;

class Program
{
    static void Main(string[] args)
    {
        string s = Console.ReadLine();
        string t = Console.ReadLine();

        char[] ss = s.ToCharArray();
        char[] tt = t.ToCharArray();

        int r = tt.Length;

        for (int i = 0; i < ss.Length; i++)
        {
            int rr = tt.Length;
            for (int j = 0; j < tt.Length; j++)
            {
                if (i + j < ss.Length)
                {
                    if (ss[i + j] == tt[j])
                    {
                        rr--;
                    }
                }
            }

            if (rr < r)
            {
                r = rr;
            }
        }

        Console.WriteLine(r);
    }
}