LeetCode 477: Total Hamming Distance Solution

Master LeetCode problem 477 (Total Hamming Distance), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

477. Total Hamming Distance

Problem Explanation

Explanation

To solve this problem efficiently, we can observe that the Hamming distance between two numbers can be calculated by counting the number of set bits (bits with value 1) in their XOR result. We can iterate through each bit position (from 0 to 31 for integers) and count the number of elements that have that bit set and the number of elements that have that bit unset. The total Hamming distance is then the product of these two counts for each bit position summed up.

Solution Code

class Solution {
    public int totalHammingDistance(int[] nums) {
        int totalDistance = 0;
        for (int i = 0; i < 32; i++) {
            int setBits = 0;
            for (int num : nums) {
                if ((num & (1 << i)) != 0) {
                    setBits++;
                }
            }
            totalDistance += setBits * (nums.length - setBits);
        }
        return totalDistance;
    }
}

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