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Solution: Split Array Into Two Arrays to Minimize Sum Difference

Explore how to divide an integer array into two equal parts to minimize the absolute difference between their sums. Understand the use of binary search combined with the meet-in-the-middle approach to efficiently generate subset sums and find the optimal partition without exhaustive search. This lesson guides you through the algorithm design, complexity analysis, and implementation details to master this advanced coding interview pattern.

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: ...