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# Bitwise AND Sum

Problem Description

You are given an array A of length N. Consider that the array is one indexed.

You need to find sum of ( A[i] & A[j] & (A[i] + A[j]) )  for all pairs (i,j) such that 1 <= i < j <= N.

Problem Constraints

2 <= N <= 2 x 105

1 <= A[i] <= 109

Input Format

The only argument contains the integer array A.

Output Format

Return the sum of A[i] & A[j] & (A[i] + A[j]) for all pairs. Since the answer can be large, return it modulo 10+ 7.

Example Input

Input 1:

```  A : [8, 9]
```

Input 2:

```  A : [1, 3, 3]
```

Example Output

Output 1:

```  0
```

Output 2:

```  2
```

Example Explanation

Explanation 1:

```  There is only one pair - (8 & 9 & (8 + 9)) = 0
```

Explanation 2:

```  We have 3 pairs -
(1, 3) = 1 & 3 & (1+3) = 0 (1, 3) = 1 & 3 & (1+3) = 0 (3, 3) = 3 & 3 & (3+3) = 2  ```

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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