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Solution: Split Array Into Two Arrays to Minimize Sum Difference

Explore how to divide an integer array into two equal subarrays while minimizing the difference between their sums. Understand the use of meet-in-the-middle strategy combined with binary search to efficiently find the optimal partition without checking all combinations. This lesson teaches you to generate subset sums, use binary search to find the best match, and optimize time and space complexity in splitting 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 ...