3487-maximum-unique-subarray-sum-after-deletion

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Description

You are given an integer array nums.

You are allowed to delete any number of elements from nums without making it empty. After performing the deletions, select a subarray of nums such that:

  1. All elements in the subarray are unique.
  2. The sum of the elements in the subarray is maximized.

Return the maximum sum of such a subarray.

 

Example 1:

Input: nums = [1,2,3,4,5]

Output: 15

Explanation:

Select the entire array without deleting any element to obtain the maximum sum.

Example 2:

Input: nums = [1,1,0,1,1]

Output: 1

Explanation:

Delete the element nums[0] == 1, nums[1] == 1, nums[2] == 0, and nums[3] == 1. Select the entire array [1] to obtain the maximum sum.

Example 3:

Input: nums = [1,2,-1,-2,1,0,-1]

Output: 3

Explanation:

Delete the elements nums[2] == -1 and nums[3] == -2, and select the subarray [2, 1] from [1, 2, 1, 0, -1] to obtain the maximum sum.

 

Constraints:

  • 1 <= nums.length <= 100
  • -100 <= nums[i] <= 100

Solution(Python)

class Solution:
    # Time Complexity: O(n)
    # Space Complexity: O(n)
    def maxSum(self, nums: List[int]) -> int:
        positiveSet = set([num for num in nums if num > 0])
        return max(nums) if len(positiveSet) == 0 else sum(positiveSet)