Chef likes prime numbers. However, there is one thing he loves even more. Of course, it's semi-primes! A semi-prime number is an integer which can be expressed as a product of two distinct primes. For example, $15 = 3 \cdot 5$ is a semi-prime number, but $1$, $9 = 3 \cdot 3$ and $5$ are not.
Chef is wondering how to check if an integer can be expressed as a sum of two (not necessarily distinct) semi-primes. Help Chef with this tough task!

-----Input-----
- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
- The first and only line of each test case contains a single integer $N$.

-----Output-----
For each test case, print a single line containing the string "YES" if it is possible to express $N$ as a sum of two semi-primes or "NO" otherwise.

-----Constraints-----
- $1 \le T \le 200$
- $1 \le N \le 200$

-----Example Input-----
3
30
45
62

-----Example Output-----
YES
YES
NO

-----Explanation-----
Example case 1: $N=30$ can be expressed as $15 + 15 = (3 \cdot 5) + (3 \cdot 5)$.
Example case 2: $45$ can be expressed as $35 + 10 = (5 \cdot 7) + (2 \cdot 5)$.
Example case 3: $62$ cannot be expressed as a sum of two semi-primes.

```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 = '# cook your dish here\nimport math\ndef prime(n):\n    c=0\n    if(n==1):\n        return 0\n    elif(n==2):\n        return 1\n    else:    \n        for i in range(2,math.floor(math.sqrt(n))+1):\n            if(n%i==0):\n                c=1\n                break\n        if(c==0):\n            return 1\n        else:\n            return 0\nfor i in range(int(input())):\n    k=int(input())\n    e=0\n    for i in range(1,k+1):\n        for j in range(i,k+1):\n            if(i+j==k):\n                c,d=0,0\n                for m in range(1,i+1):\n                    for n in range(m,i+1):\n                        if(m*n==i and m!=n):\n                            if(prime(m) and prime(n)):\n                                c=1\n                                break\n                    if(c==1):\n                        break\n                for o in range(1,j+1):\n                    for p in range(o,j+1):\n                        if(o*p==j and o!=p):\n                            if(prime(o) and prime(p)):\n                                d=1\n                                break\n                    if(d==1):\n                        break\n                if(c and d):\n                    e=1\n                    break\n        if(e==1):\n            break\n    if(e==1):\n        print("YES")\n    else:\n        print("NO")'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13553