Complex Algorithmic Challenge

Asked at Bloomberg · Coding & Leetcode-style Questions · Difficulty: Medium

Design an algorithm to solve a complex combination problem for a given input array `nums`. Calculate how many distinct combinations can select subsets containing at least one element, and the sum of the elements in all subsets must be even. Please write a function to implement the above requirements and provide test cases, ensuring the algorithm’s time complexity is preferably lower than $O(2^n)$.

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