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Problem Setter: yashpal1995 Problem Tester: amitkgupta94

Hamming distance between two non-negative integers is defined as the number of positions at which the corresponding bits are different.

For example,

`HammingDistance(2, 7) = 2`

, as only the *first* and the *third* bit differs in the binary representation of **2** (`010`

) and **7** (`111`

).

Given an array of `N`

non-negative integers, find the sum of hamming distances of all pairs of integers in the array.

Return the answer modulo `1000000007`

.

**Example**

```
Let f(x, y) be the hamming distance defined above.
A=[2, 4, 6]
We return,
f(2, 2) + f(2, 4) + f(2, 6) +
f(4, 2) + f(4, 4) + f(4, 6) +
f(6, 2) + f(6, 4) + f(6, 6) =
0 + 2 + 1
2 + 0 + 1
1 + 1 + 0 = 8
```

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 doubt? Checkout Sample Codes for more details.

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