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Questions and Answers
Which of the following best describes an NP-complete problem?
Which of the following best describes an NP-complete problem?
- A problem that can be quickly solved in polynomial time
- A problem that is unsolvable in NP
- A problem that every other problem in NP can be reduced to in polynomial time (correct)
- A problem that has a known solution in P
What is the significance of the P versus NP problem?
What is the significance of the P versus NP problem?
- It proves that P equals NP
- It demonstrates that there are no NP-complete problems
- It remains an open question about whether problems in NP have efficient solutions (correct)
- It shows that all problems in NP can be quickly solved
Why is it challenging to determine whether every problem in NP can be quickly solved?
Why is it challenging to determine whether every problem in NP can be quickly solved?
- Because NP problems are not relevant in computer science
- Because NP-complete problems are easily solvable
- Because P equals NP by definition
- Due to the complexity of NP problems and the unknown relationship to P (correct)
