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Solution: Split Array Into Two Arrays to Minimize Sum Difference

Explore how to divide an integer array into two equal parts to minimize the absolute difference between their sums. This lesson teaches the application of modified binary search combined with meet-in-the-middle tactics to efficiently find the optimal partition without exhaustive search. You'll understand subset sum generation, binary search optimization, and time-space complexity trade-offs to solve this complex 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: ...