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 Python (3.4.3) (judge verdict: Accepted)

s = input()

result = 'Yes'
j = int((len(s)-1)/2)

for i in range(j):
    if(s[i] != s[len(s)-i-1]):
        result = 'No'
        break

if(result !='No'):
    for i in range(int(j/2)):
        if(s[i] != s[j-i-1]):
            result = 'No'
            break

if(result !='No'):
    for i in range(int(j/2)):
        if(s[i+j+1] != s[len(s)-i-1]):
            result = 'No'
            break

print(result)