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Bob and Mathematics

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Bob was very good at his mathematics. He scored A+ grade in every mathematical subjects. To challenge him his teacher gave him to solve following question :

You are given an array of n positive integers where all integers are less than or equals to 10^6. Now you have to calculate the product of (number of primes + 2) of all subsets of that array. Two subsets of array are considered different if there is an element with index i in one subset such that there is no such element with same index i in other subset.

**Print answer modulo (1000000007)**

Lets clear it with an example :

Take an array = [2,4]

Now lets see all subsets

{2} ----> noOfPrimes = 1 So (1+2) = 3

{4} -----> noOfPrimes = 0 So (0+2) = 2

{2,4} -----> noOfPrimes = 1 So (1+2) = 3

{} -----> noOfPrimes = 0 So (0+2) = 2

So final answer is `3*2*3*2 = 36`

**Note:** For empty subset number of primes is 0.

**Constraints :**

1 <= n <= 10^3

arr[i] <= 10^6

t <= 1000

**Input Format :**

First line contains t - no of test cases. For each test cases there are two lines. First line contains n - size of array and second line contains array elements.

**Output Format :**

Print required answer modulo 1000000007 for each test cases.

**Setter : Aayush Kapadia**

**Tester : Tanmay Patel**

Time Limit:
1.5 sec(s)
for each input file.

Memory Limit:
256 MB

Source Limit:
1024 KB

Marking Scheme:
Marks are awarded when all the testcases pass.

Allowed Languages:
C,
C++,
Clojure,
C#,
D,
Erlang,
F#,
Go,
Groovy,
Haskell,
Java,
Java 8,
JavaScript(Rhino),
JavaScript(Node.js),
Lisp,
Lisp (SBCL),
Lua,
Objective-C,
OCaml,
Octave,
Pascal,
Perl,
PHP,
Python,
Python 3,
R(RScript),
Racket,
Ruby,
Rust,
Scala,
Scala 2.11.8,
Swift,
Visual Basic

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