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Problem: Split Array Into Two Arrays to Minimize Sum Difference

Hard
40 min
Explore how to divide an array of 2n elements into two equal subarrays such that the absolute difference between their sums is minimized. Understand the problem constraints, approach it with modified binary search methods, and implement your solution with hands-on coding exercises.

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

Hard
40 min
Explore how to divide an array of 2n elements into two equal subarrays such that the absolute difference between their sums is minimized. Understand the problem constraints, approach it with modified binary search methods, and implement your solution with hands-on coding exercises.

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}