n the decision version of the Clique problem you are given a non-empty graph G = (V,E) and a positive integer k and asked whether G has a complete subgraph (or clique) of size k (i.e., k vertices that induce a complete subgraph). Give the pseudocode of a recursive backtracking algorithm for the problem, and analyze your algorithm by providing a worst-case recurrence. Can you guarantee a worst-case running time in O(1.466^n)? Prove your answer

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