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Need a very detailed answer. (i) Formulate decision problems for each of the following: TSP, graph coloring. (ii) Define: the language associated with a decision

Need a very detailed answer.

(i) Formulate decision problems for each of the following: TSP, graph coloring.

(ii) Define: the language associated with a decision problem Q.

(iii) Define when a decision problem Q belongs to the class NP. Give an example of a problem in NP, including a description of a certificate C(I) for an instance I of the problem.

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