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Problem: Task Scheduler

Explore how to schedule CPU tasks with cooldown intervals by using a max heap and a cooldown queue. Learn a greedy strategy to minimize idle time and efficiently manage task execution under cooldown constraints while understanding the time and space complexity of the solution.

Statement

You are given an array, tasks, representing CPU tasks, where each task is labeled with an uppercase English letter from A to Z. You are also given a non-negative integer n representing the cooldown period between two identical tasks.

In each CPU interval, you may either complete exactly one task or remain idle. Tasks may be completed in any order; however, any two tasks with the same label must be separated by at least n intervals.

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

Note: The cooldown constraint applies only between tasks sharing the same label. Different tasks can be scheduled in consecutive intervals without restriction.

Constraints:

  • 11 \leq tasks.length 104\leq 10^4

  • tasks[i] is an uppercase English letter.

  • 00 \leq n 100\leq 100 ...