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Solution: Split Array Into Two Arrays to Minimize Sum Difference

Explore how to efficiently divide an integer array into two equal-length subarrays to minimize their sum difference. Learn to apply a modified binary search combined with the meet-in-the-middle strategy to find the optimal partition without exhaustive searches. Understand subset sum generation, binary search application, and how to reduce time and space complexity for this problem.

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 ...