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Problem: Split Array Into Two Arrays to Minimize Sum Difference

Medium
30 min
Explore how to split a 2n-length integer array into two equal subarrays so the difference in their sums is minimized. Understand the problem constraints and apply modified binary search methods to develop an efficient solution. Practice coding this problem to improve your problem-solving skills in array partitioning and optimization.

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}

Problem
Ask
Submissions

Problem: Split Array Into Two Arrays to Minimize Sum Difference

Medium
30 min
Explore how to split a 2n-length integer array into two equal subarrays so the difference in their sums is minimized. Understand the problem constraints and apply modified binary search methods to develop an efficient solution. Practice coding this problem to improve your problem-solving skills in array partitioning and optimization.

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}