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: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Security.AccessControl;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder177
{
    class Program
    {
        static void Main(string[] args)
        {
            QB();
        }

        static void QA()
        {
            string[] splited = Console.ReadLine().Split(' ');

            int D = int.Parse(splited[0]);
            int T = int.Parse(splited[1]);
            int S = int.Parse(splited[2]);

            Console.WriteLine((((double)D / S) <= T) ? "Yes" : "No");
        }

        static void QB()
        {
            string S = Console.ReadLine();
            string T = Console.ReadLine();

            int cntNotMatchMin = 1001;

            for (int i = 0; i < S.Length - T.Length + 1; i++)
            {
                int cntNotMatch = 0;
                for (int j = 0; j < T.Length; j++)
                {
                    if (!S[i + j].Equals(T[j])) cntNotMatch++;
                }

                if (cntNotMatch < cntNotMatchMin) cntNotMatchMin = cntNotMatch;
            }

            Console.WriteLine(cntNotMatchMin);
        }
    }
}