Medium
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
.
Example 1:
Input: nums = [4,14,2]
Output: 6
Explanation: In binary representation, the 4 is 0100, 14 is 1110, and 2 is 0010 (just showing the four bits relevant in this case).
The answer will be:
HammingDistance(4, 14) + HammingDistance(4, 2) + HammingDistance(14, 2) = 2 + 2 + 2 = 6.
Example 2:
Input: nums = [4,14,4]
Output: 4
Constraints:
1 <= nums.length <= 104
0 <= nums[i] <= 109
class Solution {
fun totalHammingDistance(nums: IntArray): Int {
var ans = 0
val n = nums.size
for (i in 0..31) {
var ones = 0
for (k in nums) {
ones += k shr i and 1
}
ans = ans + ones * (n - ones)
}
return ans
}
}