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Solution: Maximal Score After Applying K Operations

Discover how to maximize your score by applying k operations on an integer array. Learn to use a max heap for efficiently selecting the largest elements and updating them through iterative reductions. This lesson guides you through the algorithm, code steps, and analyzes time and space complexity for practical problem solving.

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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