Problem:
Score : 200 points

Problem Statement

A string S of an odd length is said to be a strong palindrome if and only if all of the following conditions are satisfied:

S is a palindrome.

Let N be the length of S. The string formed by the 1-st through ((N-1)/2)-th characters of S is a palindrome.

The string consisting of the (N+3)/2-st through N-th characters of S is a palindrome.

Determine whether S is a strong palindrome.

Constraints

S consists of lowercase English letters.

The length of S is an odd number between 3 and 99 (inclusive).

Input

Input is given from Standard Input in the following format:

S

Output

If S is a strong palindrome, print Yes;
otherwise, print No.

Sample Input 1

akasaka

Sample Output 1

Yes

S is akasaka.

The string formed by the 1-st through the 3-rd characters is aka.

The string formed by the 5-th through the 7-th characters is aka.
All of these are palindromes, so S is a strong palindrome.

Sample Input 2

level

Sample Output 2

No

Sample Input 3

atcoder

Sample Output 3

No

Solution in C# (Mono-csc 3.5.0) (judge verdict: Accepted)

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

namespace atcoder
{
    public class Program
    {
        public static void Main(string[] args)
        {
            var S = Console.ReadLine();
            var output = "Yes";

            if (!IsBatch(S)) output = "No";
            if (!IsBatch(S.Substring(0, S.Length / 2))) output = "No";
            if (!IsBatch(S.Substring((S.Length + 2) / 2))) output = "No";

            Console.WriteLine(output);
        }

        private static bool IsBatch(string s)
        {
            for (int i = 0; i < s.Length / 2; i++)
            {
                if (s[i] != s[s.Length - i - 1])
                {
                    return false;
                }
            }
            return true;
        }
    }
}