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2818. Apply Operations to Maximize Score
- Given an array of positive integers and an integer k, the task is to maximize the score by selecting subarrays and multiplying the score by the element with the highest prime score.
- The prime score of an integer is the count of distinct prime factors it has.
- Using monotonic stacks, determine the left and right boundaries for each element to find the valid subarrays where it is the maximum element.
- Calculate the number of subarrays for each element where it is the maximum element based on its boundaries.
- Sort the elements by their value, prime score, and index to prioritize elements for maximizing the score.
- Implement a greedy approach by multiplying the score with the highest possible values first using efficient modulo calculations.
- The solution involves calculations for prime scores, fast exponentiation, and handling large powers modulo 109 + 7.
- The provided PHP implementation demonstrates how to find the maximum score for given examples.
- The complexity of the solution lies in efficiently handling prime scores, determining boundaries, and selecting elements for multiplication.
- By following the outlined approach, one can optimize the score calculation process for given arrays and maximize the final score.
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