One day, Chef prepared D brand new dishes. He named the i-th dish by a string Si. After the cooking, he decided to categorize each of these D dishes as special or not.

A dish Si is called special if it's name (i.e. the string Si) can be represented in the form of a double string by removing at most one (possibly zero) character from it's name from any position. 

A string is called a double string if it can be represented as a concatenation of two identical, non-empty strings. 
e.g. "abab" is a double string as it can be represented as "ab" + "ab" where + operation denotes concatenation. 
Similarly, "aa", "abcabc" are double strings whereas "a", "abba", "abc" are not.

-----Input-----
- First line of the input contains an integer D denoting the number of dishes prepared by Chef on that day.
- Each of the next D lines will contain description of a dish. 
	
- The i-th line contains the name of i-th dish Si.
	

-----Output-----
For each of the D dishes, print a single line containing "YES" or "NO" (without quotes) denoting whether the dish can be called as a special or not.

-----Constraints-----
- 1 ≤ D ≤ 106
- 1 ≤ |Si| ≤ 106.
- Each character of string Si will be lower case English alphabet (i.e. from 'a' to 'z').

-----Subtasks-----
Subtask #1 : (20 points)
- Sum of |Si| in an input file doesn't exceed 2 * 103

Subtask 2 : (80 points) 
- Sum of |Si| in an input file doesn't exceed 2 * 106

-----Example-----
Input:
3
aba
abac
abcd

Output:
YES
NO
NO


-----Explanation-----
Example case 1.
We can remove the character at position 1 (0-based index) to get "aa" which is a double string. Hence, it is a special dish.

Example case 2.
It is not possible to remove the character at any of the position to get the double string. Hence, it is not a special dish.

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = "import sys\n\nn = int(input())\n\nfor i in range(n):\n \n s = input() \n m = len(s)\n  \n if (m == 1):\n  sys.stdout.write('NO\\n')\n \n elif (m % 2 != 0):\n\n  #check left half\n  i = 0\n  j = int(m/2)+1\n  flag = False\n  Flag = True\n  while (j < m):\n   #print(i,j)\n   if (s[i] != s[j]):\n    if (not flag):\n     flag = True\n     i += 1\n    else:   \n     Flag = False\n     break\n   else:\n    i += 1\n    j += 1\n\n  if (not Flag):\n   \n   #check right half\n   i = 0\n   j = int(m/2)\n   flag = False\n   Flag = True\n   while (j < m):  \n    #print(i,j)\n    if (s[i] != s[j]):\n     if (not flag):\n      flag = True\n      j += 1\n     else:\n      Flag = False\n      break\n    else:\n     i += 1\n     j += 1\n   if (Flag):\n    sys.stdout.write('YES\\n')\n   else:\n    sys.stdout.write('NO\\n')\n\n  else:\n   sys.stdout.write('YES\\n')\n  \n    \n else:\n  if (s[:int(m/2)] == s[int(m/2):]):\n   sys.stdout.write('YES\\n')\n  else:\n   sys.stdout.write('NO\\n')"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13607