Every great chef knows that lucky numbers are positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.  

Our chef has recently returned from the Lucky country. He observed that every restaurant in the Lucky country had a lucky number as its name. 
He believes that having a lucky number as a restaurant name can indeed turn out to be very lucky.  

Our chef believes that it is possible to make a lucky number having N digits even luckier. Any number following the rules below is called Lucky lucky number -  

1. The number contains only digits 4 and 7. 

2. Count of digit 4 in the number should be divisible by 7. 

3. Count of digit 7 in the number should be divisible by 4. 

Help our chef to compute the count of digit 4 in the smallest Lucky lucky number having N digits. 

-----Input-----

First line contains T, number of test cases. Each of the next T lines contains a number N, the number of digits in the Lucky lucky number to be formed. 

1<=T<=1000 

1<=N<=1000000000 (10^9) 

-----Output-----

If it is not possible to form a Lucky lucky number having N digits, output -1.
Otherwise, output the count of digit 4 in the smallest Lucky lucky number having N digits.

-----Example-----
Input:
5
7
4
11
1
15

Output:
7
0
7
-1
7

Explanation
For the last test case, N = 15, the smallest lucky lucky number is
444444477777777. The count of digit 4 is 7.

```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 = 'def main():\n    for i in range(int(input())):\n        n = int(input())\n        numberFound = False\n        sevens = 0\n        while (sevens <= n):\n            if ((n - sevens) % 7 == 0):\n                numberFound = True\n                print(n - sevens)\n                break;\n            sevens += 4\n        if not numberFound:\n            print(-1)\n\ndef __starting_point():\n    main()\n__starting_point()'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13717