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What makes a problem NP-Hard?
What makes a problem NP-Hard?
- It must be in NP.
- It can be reduced to any NP-complete problem in polynomial time.
- It can be verified within polynomial time.
- It is at least as hard as any other problem in NP-Complete. (correct)
What is the relationship between NP-Hard problems and NP problems?
What is the relationship between NP-Hard problems and NP problems?
- NP-Hard problems can be verified in polynomial time.
- NP-Hard problems are always part of NP.
- NP problems are reducible to NP-Hard problems in polynomial time.
- NP-Hard problems do not have to be in NP. (correct)
What is the main distinction between NP-Hard and NP-Complete problems?
What is the main distinction between NP-Hard and NP-Complete problems?
- NP-Hard problems are always solvable in polynomial time.
- NP-Complete problems can be verified in polynomial time, while NP-Hard problems cannot.
- NP-Complete problems are more difficult than NP-Hard problems.
- All NP-Complete problems can be reduced to any other NP-Complete problem in polynomial time, but not to an NP-Hard problem. (correct)
What does the P vs. NP Question seek to determine?
What does the P vs. NP Question seek to determine?
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What would the statement 'P = NP' imply?
What would the statement 'P = NP' imply?
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If 'P ≠NP', what does it suggest about computational complexity?
If 'P ≠NP', what does it suggest about computational complexity?
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