Question: (4 points) Either prove that the following problem is NP-complete or show that it belongs to P by giving a polynomial time algorithm: - Input:

(4 points) Either prove that the following problem is NP-complete or

(4 points) Either prove that the following problem is NP-complete or show that it belongs to P by giving a polynomial time algorithm: - Input: An undirected graph G. - Question: Does G have at least 20 different proper 3-colourings with colours Green, Blue, Red? In this question, two 3-colourings are considered different if they assign different colours to at least one vertex

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