Left and Right Sum Differences

You are given a 0-indexed integer array nums of size n.

Define two arrays leftSum and rightSum where:

  • leftSum[i] is the sum of elements to the left of the index i in the array nums. If there is no such element, leftSum[i] = 0.
  • rightSum[i] is the sum of elements to the right of the index i in the array nums. If there is no such element, rightSum[i] = 0.

Return an integer array answer of size n where answer[i] = |leftSum[i] - rightSum[i]|.

Example 1
Inputnums = [10,4,8,3]
Output[15,1,11,22]
The array leftSum is [0,10,14,22], the array rightSum is [15,11,3,0], and the absolute differences are [15,1,11,22].
Example 2
Inputnums = [1]
Output[0]
Both leftSum and rightSum are [0], so the only absolute difference is 0.

Constraints

  • 1 <= nums.length <= 1000
  • 1 <= nums[i] <= 10^5

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