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Solution: Schedule Tasks on Minimum Machines

Explore how to schedule tasks on the minimum number of machines by leveraging heaps and sorting. Understand the approach to allocate machines based on task timings, optimize resource usage, and implement the solution with clear time and space complexity analysis.

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 ...