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Problem: Split Array Into Two Arrays to Minimize Sum Difference

hard
40 min
Explore methods to divide an integer array into two equal parts while minimizing the difference between their sums. Understand problem constraints, apply algorithmic thinking, and develop an efficient solution to balance subarray sums.

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 ==2n== 2 * n

  • 107-10^{7} \leq nums[i] \leq 10710^{7}

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Problem
Ask
Submissions

Problem: Split Array Into Two Arrays to Minimize Sum Difference

hard
40 min
Explore methods to divide an integer array into two equal parts while minimizing the difference between their sums. Understand problem constraints, apply algorithmic thinking, and develop an efficient solution to balance subarray sums.

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 ==2n== 2 * n

  • 107-10^{7} \leq nums[i] \leq 10710^{7}