What is the difference between NP-hard and NP-complete?
An example of an AI chatbot conversation about NP-hard and NP-complete problems in computer science.
What is the difference between NP-hard and NP-complete?
NP-hard problems are at least as hard as the hardest problems in NP, while NP-complete problems are both in NP and NP-hard.
Can you give me an example of an NP-complete problem?
Sure! The Traveling Salesman Problem is a classic example of an NP-complete problem.
Are all NP-complete problems also NP-hard?
Yes, all NP-complete problems are NP-hard, but not all NP-hard problems are NP-complete.
How do we know if a problem is NP-complete?
To prove a problem is NP-complete, you typically show it is in NP and then reduce a known NP-complete problem to it.
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