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Solution: Maximal Score After Applying K Operations

Explore how to maximize a score from an integer array by repeatedly selecting the largest element, adding it to the score, and reducing it using a ceiling division. Learn to implement this solution efficiently with a max heap in C#. Understand the time and space complexities to apply this pattern in coding interviews focused on top K element problems.

Statement

You are given a 0-indexed array of integer nums and an integer k. Your task is to maximize a score through a series of operations. Initially, your score is set to 00.

In each operation:

  1. Select an index i (where 00 ≤ i << nums.length).

  2. Add the value of nums[i] to your score.

  3. Replace nums[i] with ceil(nums[i] / 3).

Repeat this process exactly k times and return the highest score you can achieve.

The ceiling function ceil(value) is the least integer greater than or equal to value.

Constraints:

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