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1. (7 points) Let X and Y be two decision problems. Suppose we know that X reduces to Y in polynomial time. Which of the

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1. (7 points) Let X and Y be two decision problems. Suppose we know that X reduces to Y in polynomial time. Which of the following statements are true? Explain a. If Y is NP-complete then so is X. b. If X is NP-complete then so is Y. C. If Y is NP-complete and is in NP then X is NP-complete. d. If X is NP-complete and Y is in NP then Y is NP-complete. e. If X is in P, then Y is in P. f. If Y is in P, then X is in P. g. X and Y can't both be in NP

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