human
PYTHON3 solution for "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":
assistant
#Here is Python program to determine if it is square.
 def func(s):
    n = len(s)
    
    if n%2 != 0 :
        return False
    
    if s[:n//2] == s[n//2 :]:
        return True
    
    else:
        return False

t = int(input())
for i in range(t):
    s = input()
    if func(s):
        print("YES")
    else:
        print("NO")