Question: Need a very detailed answer. (i) For decision problems Q and Q', when Q' said to be quickly reducible to Q? Illustrate with a diagram.

Need a very detailed answer.

(i) For decision problems Q and Q', when Q' said to be quickly reducible to Q? Illustrate with a diagram.

(ii) Define when a decision problem Q is NP-complete.

(iii) Prove the following: If, for an NP-complete problem Q, it is assumed that a fast (polynomial time) algorithm exists, then this would lead to a fast algorithm for every problem in NP. Draw a diagram.

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