Practice Interval Scheduling Problem - 19.3 | 19. Greedy algorithms: Interval scheduling | Design & Analysis of Algorithms - Vol 2
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Interval Scheduling Problem

19.3 - Interval Scheduling Problem

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the main goal of the Interval Scheduling Problem?

💡 Hint: Think about scheduling without conflicts.

Question 2 Easy

Define a greedy algorithm.

💡 Hint: Remember that it does not backtrack once a decision is made.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Interval Scheduling Problem aim to maximize?

The number of scheduled teachers
Total class hours
Instructor satisfaction

💡 Hint: Focus on the core objective of scheduling.

Question 2

True or False: The earliest start time is always the best choice in a greedy strategy for scheduling.

True
False

💡 Hint: Consider examples where conflicting timings exist.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the intervals [1, 3], [2, 5], [4, 6], [7, 9], solve for the maximum number you can schedule without overlaps.

💡 Hint: Map out overlapping intervals carefully.

Challenge 2 Hard

Prove that the greedy algorithm's choice of the earliest finish time will always produce a solution as good as, or better than, any other possible selection.

💡 Hint: Draw on the inductive proof structure to illustrate your claim.

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