Total Hamming Distance

The Hamming distance between two integers is the number of positions at which the corresponding bits are different.

Given an integer array nums, return the sum of Hamming distances between all the pairs of the integers in nums.

Constraints: 1 <= nums.length <= 10^4. 0 <= nums[i] <= 10^9. The answer for the given input will fit in a 32-bit integer.

Example 1:

Input: nums = [4,14,2]
Output: 6
Explanation: In binary representation, 4 is 0100, 14 is 1110, and 2 is 0010.
HammingDistance(4, 14) + HammingDistance(4, 2) + HammingDistance(14, 2) = 2 + 2 + 2 = 6.

Example 2:

Input: nums = [4,14,4]
Output: 4