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5. Consider a reduction (Karp many-one variety) of problem A to problem B. What is the most precise claim you can make about problem B
5. Consider a reduction (Karp many-one variety) of problem A to problem B. What is the most precise claim you can make about problem B for each of the following situations?
(a) A is in polynomial time and the reduction is also in polynomial time.
(b) A is NP-complete and the reduction is in polynomial time.
(c) A is NP-complete and the reduction takes exponential time.
(d) A is in NP and the reduction is in polynomial time.
(e) There is an algorithm that decides A using logarithmic space and the reduction uses logarithmic space
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