You are given a positive integer array nums and an integer k.

Choose at most k elements from nums so that their sum is maximized. However, the chosen numbers must be distinct.

Return an array containing the chosen numbers in strictly descending order.

 

Example 1:

Input: nums = [84,93,100,77,90], k = 3

Output: [100,93,90]

Explanation:

The maximum sum is 283, which is attained by choosing 93, 100 and 90. We rearrange them in strictly descending order as [100, 93, 90].

Example 2:

Input: nums = [84,93,100,77,93], k = 3

Output: [100,93,84]

Explanation:

The maximum sum is 277, which is attained by choosing 84, 93 and 100. We rearrange them in strictly descending order as [100, 93, 84]. We cannot choose 93, 100 and 93 because the chosen numbers must be distinct.

Example 3:

Input: nums = [1,1,1,2,2,2], k = 6

Output: [2,1]

Explanation:

The maximum sum is 3, which is attained by choosing 1 and 2. We rearrange them in strictly descending order as [2, 1].

 

Constraints: