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 4.6.2.0) (judge verdict: Accepted)

using System;
namespace B
{
    class Program
    {
        static void Main(string[] args)
        {
            var s = Console.ReadLine().Trim();
            Func<string, bool> func = str =>
            {
                if (str.Length == 1) return true;
                for (var i = 0; i < str.Length / 2; i++)
                    if (str[i] != str[str.Length - 1 - i])
                        return false;
                return true;
            };

            var n = s.Length;
            Console.WriteLine(func(s) && func(s.Substring(0, ((n - 1) / 2))) ? "Yes" : "No");
        }
    }
}