Question 1
A conference needs to schedule 6 sessions across 3 time slots and 3 rooms. Each room can hold one session per slot. The constraints are:
- Dr. Taylor can only speak at 9:00-10:00
- Cybersecurity and Machine Learning cannot be in the same time slot
- Prof. Jones and Dr. Chen must speak in consecutive time slots
- Data Science must be in Hall A
Which speaker presents the Blockchain session?
Step-by-step solution:
Scheduling Grid Analysis:
1. Fix direct constraints:
- Dr. Taylor at 9:00-10:00
- Data Science in Hall A
2. Apply consecutive constraint: Prof. Jones and Dr. Chen in consecutive slots
3. Apply conflict constraint: Cybersecurity and Machine Learning not together
4. Final Schedule:
9:00-10:00:
- Hall A: Cloud Computing by Dr. Taylor
- Hall B: Machine Learning by Prof. Garcia
- Hall C: Blockchain by Prof. Brown
10:00-11:00:
- Hall A: Data Science by Dr. Smith
- Hall B: AI Ethics by Prof. Jones
- Hall C: Cybersecurity by Dr. Chen
11:00-12:00:
- Hall A: (empty)
- Hall B: (empty)
- Hall C: (empty)
Answer: Prof. Brown presents Blockchain
Key Strategy: Use a grid to solve the assignment problem and satisfy all constraints sequentially.
Scheduling Grid Analysis:
1. Fix direct constraints:
- Dr. Taylor at 9:00-10:00
- Data Science in Hall A
2. Apply consecutive constraint: Prof. Jones and Dr. Chen in consecutive slots
3. Apply conflict constraint: Cybersecurity and Machine Learning not together
4. Final Schedule:
9:00-10:00:
- Hall A: Cloud Computing by Dr. Taylor
- Hall B: Machine Learning by Prof. Garcia
- Hall C: Blockchain by Prof. Brown
10:00-11:00:
- Hall A: Data Science by Dr. Smith
- Hall B: AI Ethics by Prof. Jones
- Hall C: Cybersecurity by Dr. Chen
11:00-12:00:
- Hall A: (empty)
- Hall B: (empty)
- Hall C: (empty)
Answer: Prof. Brown presents Blockchain
Key Strategy: Use a grid to solve the assignment problem and satisfy all constraints sequentially.