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Solution: Split Array Into Two Arrays to Minimize Sum Difference

Explore how to divide an array of 2n elements into two subarrays of size n each, minimizing the absolute difference of their sums. Learn a solution combining meet-in-the-middle strategy with binary search for efficiency. Understand how to compute subset sums, use binary search for optimal pairing, and achieve a significant time complexity reduction compared to brute force methods.

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: ...