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Solution: Split Array Into Two Arrays to Minimize Sum Difference

Explore how to efficiently split a 2n-length integer array into two subarrays of length n to minimize the absolute difference between their sums. Understand using modified binary search combined with the meet-in-the-middle approach to optimize subset sum calculations, avoiding exhaustive checks. Gain skills to apply binary search on grouped subset sums and improve algorithm efficiency for partitioning problems.

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 ...