You are given an integer sequence $A_1, A_2, \ldots, A_N$. For any pair of integers $(l, r)$ such that $1 \le l \le r \le N$, let's define $\mathrm{OR}(l, r)$ as $A_l \lor A_{l+1} \lor \ldots \lor A_r$. Here, $\lor$ is the bitwise OR operator.
In total, there are $\frac{N(N+1)}{2}$ possible pairs $(l, r)$, i.e. $\frac{N(N+1)}{2}$ possible values of $\mathrm{OR}(l, r)$. Determine if all these values are pairwise distinct.

-----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 line of each test case contains a single integer $N$.
- The second line contains $N$ space-separated integers $A_1, A_2, \ldots, A_N$.

-----Output-----
For each test case, print a single line containing the string "YES" if all values of $\mathrm{OR}(l, r)$ are pairwise distinct or "NO" otherwise (without quotes).

-----Constraints-----
- $1 \le T \le 300$
- $1 \le N \le 10^5$
- $0 \le A_i \le 10^{18}$ for each valid $i$
- the sum of $N$ over all test cases does not exceed $3 \cdot 10^5$

-----Example Input-----
4
3
1 2 7
2
1 2
3
6 5 8
5
12 32 45 23 47

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

-----Explanation-----
Example case 1: The values of $\mathrm{OR}(l, r)$ are $1, 2, 7, 3, 7, 7$ (corresponding to the contiguous subsequences $[1], [2], [7], [1,2], [2,7], [1,2,7]$ respectively). We can see that these values are not pairwise distinct.
Example case 2: The values of $\mathrm{OR}(l, r)$ are $1, 2, 3$ (corresponding to the contiguous subsequences $[1], [2], [1, 2]$ respectively) and they are pairwise distinct.

```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 = 'for _ in range(int(input())):\n n=int(input())\n a=list(map(int,input().split()))\n a.sort(reverse=True)\n to_add=a[0]\n f=0\n for i in range(1,n):\n  to_add=to_add|a[i]\n  if to_add in a:\n   f=1\n   break\n  a.append(to_add)\n if f==0:\n  print("YES")\n else:\n  print("NO")'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13165