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Solution: Maximal Score After Applying K Operations

Understand how to maximize a score by performing k operations on an integer array, using a max heap to efficiently select the largest elements. Learn to iteratively extract, update, and reinsert values in the heap to optimize the score while analyzing the time and space complexity of the solution.

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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