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Solution: Split Array Into Two Arrays to Minimize Sum Difference

Explore how to divide a 2n-element array into two equal parts minimizing their sum difference by applying modified binary search combined with meet-in-the-middle. Understand generating subset sums, grouping subsets by size, and using binary search to efficiently find the optimal split without exhaustive search.

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:

  • 1 \leq nn \leq 15

  • nums.length ...