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Grokking the Coding Interview Patterns

Solution: Schedule Tasks on Minimum Machines

Explore how to schedule tasks on the minimum number of machines by sorting tasks and using a min heap to track machine availability. Learn to reuse machines effectively to optimize resource allocation while managing task overlaps and timing constraints.

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Statement

We are given an input array, tasks, where tasks[i] =[starti,endi]= [start_i, end_i] represents the start and end times of nn tasks. Our goal is to schedule these tasks on machines given the following criteria:

  1. A machine can execute only one task at a time.

  2. A machine can begin executing a new task immediately after completing the previous one.

  3. An unlimited number of machines are available.

Find the minimum number of machines required to complete these ...