Chef has invited Alice for his birthday party. Now, Alice is thinking about what to give Chef as a present. She should obviously choose a sequence ― what could possibly be a better birthday gift than a sequence!
After some thinking, Alice chose a sequence of integers $A_1, A_2, \ldots, A_N$. However, she does not want to simply give this sequence to Chef. Instead, she decided to give Chef a sequence $B_1, B_2, \ldots, B_N$, where $B_i = \bigvee_{j=1}^i A_j$ for each valid $i$ and $\bigvee$ denotes the bitwise OR operation. Chef can try to generate a sequence $A$ from $B$, but there could be more than one such possible sequence.
Now, Alice is wondering how many sequences $A$ correspond to the given sequence $B$. Since this number could be very large, compute it modulo $10^9 + 7$. Note that it is not guaranteed that the given sequence $B$ was generated from some sequence $A$.

-----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 $B_1, B_2, \ldots, B_N$.

-----Output-----
For each test case, print a single line containing one integer ― the number of possible sequences $A$ modulo $10^9 + 7$.

-----Constraints-----
- $1 \le T \le 25$
- $1 \le N \le 5 \cdot 10^4$
- $0 \le B_i < 2^{30}$ for each valid $i$

-----Example Input-----
2
2
2 3
4
2 6 7 7

-----Example Output-----
2
64

-----Explanation-----
Example case 1: There are two possible options for $A$: $(2, 1)$ and $(2, 3)$.

```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\nsys.setrecursionlimit(10**3)\ndef fast_expo(n):\n mod=10**9+7\n if n==1:\n  return 2\n x=(fast_expo(n//2)%mod)\n if n%2==0:\n  return (x*x)%(10**9+7)\n else:\n  return (x*x*2)%(10**9+7)\nfor _ in range(int(input())):\n n=int(input())\n l=list(map(int,input().split()))\n p=0\n c=0\n flag=0\n mod=10**9+7\n for i in range(len(l)-1):\n  t_1=list(bin(l[i])[2:]).count('1')\n  if c<=t_1:\n   c=t_1\n  else:\n   flag=1\n  p+=t_1\n if flag==1:\n  print(0)\n  continue\n t_2=fast_expo(p)%mod\n print(t_2)"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13423