#include <bits/stdc++.h>
using namespace std;
int main() {
  int t, h, sign;
  string str;
  scanf("%d", &t);
  getchar();
  for (int i = 0, sign = 0; i < t; i++) {
    getline(cin, str);
    h = str.length();
    if (h % 2 != 0)
      cout << "NO" << endl;
    else {
      sign = 0;
      for (int i = 0; i < h / 2; i++) {
        if (str[i] != str[(h / 2) + i]) sign = 1;
      }
      if (sign == 0)
        cout << "YES" << endl;
      else if (sign == 1)
        cout << "NO" << endl;
    }
  }
  return 0;
}

### Prompt

Develop a solution in CPP to the problem described below:

A string is called square if it is some string written twice in a row. For example, the strings "aa", "abcabc", "abab" and "baabaa" are square. But the strings "aaa", "abaaab" and "abcdabc" are not square.

For a given string s determine if it is square.

Input

The first line of input data contains an integer t (1 ≤ t ≤ 100) —the number of test cases.

This is followed by t lines, each containing a description of one test case. The given strings consist only of lowercase Latin letters and have lengths between 1 and 100 inclusive.

Output

For each test case, output on a separate line:

  * YES if the string in the corresponding test case is square, 
  * NO otherwise. 



You can output YES and NO in any case (for example, strings yEs, yes, Yes and YES will be recognized as a positive response).

Example

Input


10
a
aa
aaa
aaaa
abab
abcabc
abacaba
xxyy
xyyx
xyxy


Output


NO
YES
NO
YES
YES
YES
NO
NO
NO
YES

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
int main() {
  int t, h, sign;
  string str;
  scanf("%d", &t);
  getchar();
  for (int i = 0, sign = 0; i < t; i++) {
    getline(cin, str);
    h = str.length();
    if (h % 2 != 0)
      cout << "NO" << endl;
    else {
      sign = 0;
      for (int i = 0; i < h / 2; i++) {
        if (str[i] != str[(h / 2) + i]) sign = 1;
      }
      if (sign == 0)
        cout << "YES" << endl;
      else if (sign == 1)
        cout << "NO" << endl;
    }
  }
  return 0;
}

```