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)

/// kazuki08
/*
#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("unroll-loops")
*/
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
#define int long long
typedef long long ll;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update>ordered_set;
typedef long double ld;
typedef vector<int> vi;
typedef pair<int,int> pi;
typedef vector<pi> vpi;
#define ar array
//#define inf 1000000000
#define mod 1000000007
#define dmp(x) cerr<<"line "<<__LINE__<<" "<<#x<<":"<<x<<endl
#define fs first
#define sc second
#define pb push_back
#define all(c) (c).begin(),(c).end()
#define mt make_tuple
#define IOS ios::sync_with_stdio(0);cin.tie(0);cout.tie(0)
template<class S,class T> ostream& operator<<(ostream& o,const pair<S,T> &p){
    return o<<"("<<p.fs<<","<<p.sc<<")";
}
template<class T> ostream& operator<<(ostream& o,const vector<T> &vc){
    o<<"{";
    for(const T& v:vc) o<<v<<",";
    o<<"}";
    return o;
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

bool palin(string s){
  string temp = s;
  reverse(all(temp));
  return s == temp;
}

signed main(){
IOS;
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
  
  string s;
  cin >> s;
  int n = s.size();
  bool f = true;
  if(!palin(s)){
    f  = false;
  }
  s = " "+s;
  string s1 = s.substr(1,(n-1)/2);
  string s2 = s.substr((n+3)/2);
  if(!palin(s1) || !palin(s2) ){
    f = false;
  }
  if(f){
    cout << "Yes" << endl;
  }
  else {
    cout << "No" << endl;
  }

return 0;
}
///....