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 Kotlin (1.0.0) (judge verdict: Wrong Answer)

fun String.zenhan() = substring(0 until (length / 2))
fun String.kouhan() = substring((length + 2) / 2)
fun String.isKaibun() = zenhan() == kouhan().reversed()
fun String.isKaibun2() = zenhan().isKaibun()
fun String.isKaibun3() = kouhan().isKaibun()

fun main(args: Array<String>) {
    val input = readLine()!!
    if (input.isKaibun() && input.isKaibun2() && input.isKaibun3()) {
        "Yes"
    } else {
        "No"
    }.let { println(it) }
}