# The savior?

## Problem:-

*Mr. XYZ.*

“Find out the number of pairs in the list you’ve made, who sum up to an even number!”

“Who are you? And what do you mean? Can you elaborate a bit?” Exclaims Fatal Eagle.

“I meant, what I said… take a look at the sample explanation of the problem I want you to solve, you’ll understand perhaps. And as for who I am? I’m Arjit and like you, I just want to save this city, too.”

Fatal Eagle is quick to respond to Arjit’s task, and decides to solve it quickly. He takes out the list of integers which contains the powers of weird creatures, and starts finding out the number of pairs which sum up to an even number. Here’s how he does it:

Let’s say that he had a list of 4 numbers: [1, 2, 3, 4] His answer would be: 2. How? *1+3 = 4 and 2 + 4* – that is to say, a number will NOT be added to itself and 1+3 is same as 3+1.

Input format:

On the first line of the input there is an integer, T, which denotes the number of test cases. For every test case, there is a number N, denoting the size of the list. Then, on the next line there are N numbers denoting the integers in the list.

Output format:

You need to output the number of required pairs.

Constraints:

1 <= Test Cases <= 50

1 <= Number of elements <= 10^{3}

1 <= Value of the elements – N_{i} <= 10^{5}

4

2

1 1

4

1 2 3 4

4

2 4 6 8

3

1 3 3

0

2

6

2

The second case is explained in the question itself.

In the third case, 6 pairs are: (2, 4) (2, 6) (2, 8) (4, 6) (4, 8) (6, 8).

In the fourth case, 2 pairs are: (1, with the 1st 3) (1, with the 2nd 3).

## solution:-