2025-04-05 Daily Challenge

Today I have done leetcode's April LeetCoding Challenge with cpp.

April LeetCoding Challenge 5

Description

Sum of All Subset XOR Totals

The XOR total of an array is defined as the bitwise XOR of all its elements, or 0 if the array is empty.

  • For example, the XOR total of the array [2,5,6] is 2 XOR 5 XOR 6 = 1.

Given an array nums, return the sum of all XOR totals for every subset of nums

Note: Subsets with the same elements should be counted multiple times.

An array a is a subset of an array b if a can be obtained from b by deleting some (possibly zero) elements of b.

 

Example 1:

Input: nums = [1,3]
Output: 6
Explanation: The 4 subsets of [1,3] are:
- The empty subset has an XOR total of 0.
- [1] has an XOR total of 1.
- [3] has an XOR total of 3.
- [1,3] has an XOR total of 1 XOR 3 = 2.
0 + 1 + 3 + 2 = 6

Example 2:

Input: nums = [5,1,6]
Output: 28
Explanation: The 8 subsets of [5,1,6] are:
- The empty subset has an XOR total of 0.
- [5] has an XOR total of 5.
- [1] has an XOR total of 1.
- [6] has an XOR total of 6.
- [5,1] has an XOR total of 5 XOR 1 = 4.
- [5,6] has an XOR total of 5 XOR 6 = 3.
- [1,6] has an XOR total of 1 XOR 6 = 7.
- [5,1,6] has an XOR total of 5 XOR 1 XOR 6 = 2.
0 + 5 + 1 + 6 + 4 + 3 + 7 + 2 = 28

Example 3:

Input: nums = [3,4,5,6,7,8]
Output: 480
Explanation: The sum of all XOR totals for every subset is 480.

 

Constraints:

  • 1 <= nums.length <= 12
  • 1 <= nums[i] <= 20

Solution

class Solution {
public:
  int subsetXORSum(vector<int>& nums) {
    int total = (1 << nums.size());
    int answer = 0;
    for(int i = 1; i < total; ++i) {
      int result = 0;
      for(int b = 0; b < nums.size(); ++b) {
        if((1 << b) & i) {
          result ^= nums[b];
        }
      }
      answer += result;
    }
    return answer;
  }
};

// Accepted
// 48/48 cases passed (3 ms)
// Your runtime beats 33.89 % of cpp submissions
// Your memory usage beats 61.42 % of cpp submissions (9.2 MB)