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Problem: Split Array Into Two Arrays to Minimize Sum Difference

Medium
30 min
Explore how to solve the problem of splitting an array into two subarrays of equal length to minimize the sum difference. Understand the constraints, apply modified binary search strategies, and practice implementing a solution that achieves the minimum possible absolute difference between the sums of the two subarrays.

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 solve the problem of splitting an array into two subarrays of equal length to minimize the sum difference. Understand the constraints, apply modified binary search strategies, and practice implementing a solution that achieves the minimum possible absolute difference between the sums of the two subarrays.

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}