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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>

using namespace std;

bool isPalindrome(string x)
{
    string palidromo = x;
    reverse(palidromo.begin(), palidromo.end());
    return x == palidromo;
}

int main ()
{
    string s = "", first = "", last = "";
    cin >> s;
    int n = s.size();
    for (int i = 0; i < (n-1)/2; i++)
        first += s[i];
    for (int i = (n+3)/2-1; i < n; i++)
        last += s[i];

    cout << (isPalindrome(s) && isPalindrome(first) && isPalindrome(last) ? "Yes" : "No" ) << endl;
    return 0;
}