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Solution: Task Scheduler

Understand how to find the minimum CPU intervals needed to complete tasks with cooling time constraints. Learn to track task frequencies, calculate idle slots, and schedule tasks to optimize CPU usage with a clear step-by-step method and complexity analysis.

Statement

You are given an array of CPU tasks represented by uppercase letters (A to Z) and an integer n, which denotes the cooling period required between any two identical tasks. Each task takes exactly one CPU interval to execute. Therefore, each CPU interval can either perform a task or remain idle. Tasks can be executed in any order, but the same task must be separated by at least n intervals.

Determine the minimum number of CPU intervals required to complete all tasks.

Constraints:

  • 1 1 \leq ...