Kanade's trio

Give you an array $A[1..n]$，you need to calculate how many tuples $(i,j,k)$ satisfy that $(i<j<k)$ and $((A[i]~xor~A[j])<(A[j]~xor~A[k]))$

There are T test cases.

$1\leq T\leq 20$

$1\leq \sum n\leq 5*10^5$

$0\leq A[i] <2^{30}$

There is only one integer T on first line.

For each test case , the first line consists of one integer $n$ ,and the second line consists of $n$ integers which means the array $A[1..n]$

For each test case , output an integer , which means the answer.

1

5

1 2 3 4 5

6

2017 Multi-University Training Contest - Team 3