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.Diagnostics.CodeAnalysis;
using System.Globalization;
using System.Linq;
using System.Net.WebSockets;
using System.Runtime.InteropServices.ComTypes;
using System.Text;
using System.Threading;

class Test
{
    // Driver code 
    public static void Main()
    {

        //var input = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();

        var s = Console.ReadLine();
        var t = Console.ReadLine();

        int n = s.Length;
        int m = t.Length;
        int ans = Int32.MaxValue;

        // Traverse the string S2 
        for (int i = 0; i < n - m + 1; i++)
        {
            int minRemovedChar = 0;
            for (int j = 0; j < m; j++)
            {
                if (t[j] != s[i + j])
                {
                    minRemovedChar++;
                }
            }

            // Take minimum of prev and  
            // current mis-match 
            ans = Math.Min(minRemovedChar, ans);

        }

        Console.WriteLine(ans);
    }
}