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Solution: Split Array Into Two Arrays to Minimize Sum Difference

Explore an efficient method to split a 2n element array into two subarrays of length n with the smallest absolute sum difference. Understand how to leverage a modified binary search combined with the meet-in-the-middle approach to generate and compare subset sums, optimize time complexity, and solve partition problems practically.

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: ...