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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 to minimize the absolute difference of their sums. This lesson teaches combining modified binary search with meet-in-the-middle techniques to efficiently find optimal partitions by generating subset sums, grouping and sorting them, then using binary search to achieve a powerful time complexity reduction.

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: ...