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Solution: Split Array Into Two Arrays to Minimize Sum Difference

Explore an efficient method to divide a 2n-element array into two equal parts with minimal sum difference by combining subset sums and binary search. Understand the meet-in-the-middle approach and how to optimize the search for the best partition with detailed complexity analysis.

Statement

You are given an integer array, nums, consisting of 2n2 * n elements.

Your task is to divide the array into two subarrays of length nn, such that each element in nums belongs to exactly one of the two subarrays, and the absolute difference between their sum is minimized.

Return the minimum possible absolute difference between the sum of the two subarrays.

Constraints: ...