Greedy Algorithms - Task Scheduler (CPU Cooling)
If tasks can be reused infinitely (i.e., unlimited supply of each task type), how should the Task Scheduler algorithm be modified to find the minimum total time with cooldown
n?If tasks can be reused infinitely (i.e., unlimited supply of each task type), how should the Task Scheduler algorithm be modified to find the minimum total time with cooldown n?
hard🎤 Interviewer Follow-up Q15 of Q15
Step-by-Step Solution
Step 1: Understand infinite reuse implication
With infinite supply, the scheduler can always pick a different task to fill cooldown slots.Step 2: Optimal scheduling pattern
Tasks can be scheduled in a fixed repeating pattern of lengthn + 1, cycling through unique tasks to avoid idle time.Step 3: Algorithm modification
No need for frequency tracking or heap; just cycle through unique tasks repeatedly.Final Answer:
Option C -> Option CQuick Check:
Infinite tasks allow fixed pattern scheduling without heap [OK]
Quick Trick: Infinite tasks -> fixed repeating pattern of length n+1 [OK]
Common Mistakes:
MISTAKES- Trying to use heap with infinite tasks
- Multiplying cycles incorrectly
- Ignoring cooldown constraints
Trap Explanation:
PITFALL- Naively reusing heap approach fails because frequencies no longer limit scheduling order.
Interviewer Note:
CONTEXT- Tests if candidate can adapt algorithm to fundamental problem changes and reason about infinite supplies.
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