{ "data": { "question": { "questionId": "2767", "questionFrontendId": "2656", "boundTopicId": null, "title": "Maximum Sum With Exactly K Elements ", "titleSlug": "maximum-sum-with-exactly-k-elements", "content": "

You are given a 0-indexed integer array nums and an integer k. Your task is to perform the following operation exactly k times in order to maximize your score:

\n\n
    \n\t
  1. Select an element m from nums.
  2. \n\t
  3. Remove the selected element m from the array.
  4. \n\t
  5. Add a new element with a value of m + 1 to the array.
  6. \n\t
  7. Increase your score by m.
  8. \n
\n\n

Return the maximum score you can achieve after performing the operation exactly k times.

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Example 1:

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\nInput: nums = [1,2,3,4,5], k = 3\nOutput: 18\nExplanation: We need to choose exactly 3 elements from nums to maximize the sum.\nFor the first iteration, we choose 5. Then sum is 5 and nums = [1,2,3,4,6]\nFor the second iteration, we choose 6. Then sum is 5 + 6 and nums = [1,2,3,4,7]\nFor the third iteration, we choose 7. Then sum is 5 + 6 + 7 = 18 and nums = [1,2,3,4,8]\nSo, we will return 18.\nIt can be proven, that 18 is the maximum answer that we can achieve.\n
\n\n

Example 2:

\n\n
\nInput: nums = [5,5,5], k = 2\nOutput: 11\nExplanation: We need to choose exactly 2 elements from nums to maximize the sum.\nFor the first iteration, we choose 5. Then sum is 5 and nums = [5,5,6]\nFor the second iteration, we choose 6. Then sum is 5 + 6 = 11 and nums = [5,5,7]\nSo, we will return 11.\nIt can be proven, that 11 is the maximum answer that we can achieve.\n
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Constraints:

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