find-subsequence-of-length-k-with-the-largest-sum

find-subsequence-of-length-k-with-the-largest-sum


You are given an integer array nums and an integer k. You want to find a subsequence of nums of length k that has the largest sum.



Return any such subsequence as an integer array of length k.



A subsequence is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.



 


Example 1:



Input: nums = [2,1,3,3], k = 2
Output: [3,3]
Explanation:
The subsequence has the largest sum of 3 + 3 = 6.


Example 2:



Input: nums = [-1,-2,3,4], k = 3
Output: [-1,3,4]
Explanation: 
The subsequence has the largest sum of -1 + 3 + 4 = 6.


Example 3:



Input: nums = [3,4,3,3], k = 2
Output: [3,4]
Explanation:
The subsequence has the largest sum of 3 + 4 = 7. 
Another possible subsequence is [4, 3].


 


Constraints:




  • 1 <= nums.length <= 1000

  • -105 <= nums[i] <= 105

  • 1 <= k <= nums.length


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