LeetCode 1863: Sum of All Subset XOR Totals Solution

Master LeetCode problem 1863 (Sum of All Subset XOR Totals), a easy 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.

1863. Sum of All Subset XOR Totals

Easy

Array Math Backtracking Bit Manipulation Combinatorics Enumeration

Problem Explanation

Explanation:

To solve this problem, we can utilize the concept of bitwise XOR operation. The XOR total of an array can be calculated by XOR-ing all elements in the array. To find the sum of XOR totals for every subset of the given array, we need to consider all possible subsets and calculate the XOR total for each.

We can solve this problem using a recursive approach. For each element in the array, we have two choices: either include it in the subset or exclude it. By recursively exploring both choices, we can generate all possible subsets and calculate their XOR totals. Finally, we sum up all the XOR totals to get the desired result.

Time Complexity:

The time complexity of this approach is O(2^N) where N is the number of elements in the input array, as we are generating all possible subsets.

Space Complexity:

The space complexity of this approach is O(N) where N is the number of elements in the input array, due to the recursive stack space. :

Solution Code

class Solution {
    public int subsetXORSum(int[] nums) {
        return calculateXORSum(nums, 0, 0);
    }
    
    private int calculateXORSum(int[] nums, int index, int xor) {
        if (index == nums.length) {
            return xor;
        }
        
        int include = calculateXORSum(nums, index + 1, xor ^ nums[index]);
        int exclude = calculateXORSum(nums, index + 1, xor);
        
        return include + exclude;
    }
}

Try It Yourself

Loading code editor...

Frequently Asked Questions

How to solve LeetCode 1863 (Sum of All Subset XOR Totals)?

This page provides optimized solutions for LeetCode problem 1863 (Sum of All Subset XOR Totals) in Java, C++, and Python, along with a detailed explanation and an interactive code editor to test your code.

What is the time complexity of LeetCode 1863 (Sum of All Subset XOR Totals)?

The time complexity for LeetCode 1863 (Sum of All Subset XOR Totals) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 1863 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 1863 in Java, C++, or Python.

Back to LeetCode Solutions