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Solution: Sum of All Subset XOR Totals

Explore how to calculate the sum of XOR totals for every subset of an integer array without generating all subsets. Learn to apply bitwise OR and left-shifting techniques to handle this problem efficiently, reducing complexity and improving performance in coding interviews.

Statement

Given an array of integers, nums, compute and return the sum of XOR totals for all its possible subsets.

  • A subset is any combination of elements from the original array, nums. This includes the empty subset (containing no elements) and the subset that includes all array elements.

  • The XOR total of a subset results from applying the XOR operation to all the elements in that subset.

Note: If the nums array has duplicate elements, then ...