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 Rust (1.15.1) (judge verdict: Accepted)

#![allow(unused, non_snake_case, dead_code, non_upper_case_globals)]
#![macro_use]

use std::cmp::*;
use std::collections::*;
use std::io::*;
use std::mem::*;
use std::num::*;
use std::ops::*;
use std::slice::*;
use std::*;

const MOD: isize = 1000000007;
fn main() {
    let v: Vec<char> = read::<String>().chars().collect();
    let n = v.len();
    let mut v2: Vec<char> = vec![];
    let mut v3: Vec<char> = vec![];
    let mut ans = isP(&v);
    for i in 0..(n - 1) / 2 {
        v2.push(v[i]);
    }
    for i in (n + 3) / 2 - 1..n {
        v3.push(v[i]);
    }
    ans &= isP(&v2);
    ans &= isP(&v3);
    println!("{}", if ans { "Yes" } else { "No" });
}
fn isP(s: &Vec<char>) -> bool {
    let mut t = s.clone();
    t.reverse();
    let ret: bool = (*s == t);
    ret
}

fn read<T: std::str::FromStr>() -> T {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}
fn read_vec<T: std::str::FromStr>() -> Vec<T> {
    read::<String>()
        .split_whitespace() // iter
        .map(|e| e.parse().ok().unwrap())
        .collect()
}