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Maximum Unique Subarray Sum After Deletion

Easy

You receive 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 sublist of nums such that:

  1. All elements in the sublist are unique .

  2. The sum of the elements in the sublist is maximized .

Produce 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

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