We discussed how Prim’s algorithm runs on a graph G = (V,E)in O(|V|2). However, we also noted that an alternative implementation exists using heaps that runs in O(|E| log |V|). You will need to execute Prim’s algorithm on a large, complete graph. Which of the two implementations should you choose based solely on the Big-Oh complexity analyses listed above? You must justify your answer using Big-Oh notation in terms of |E|and |V|.

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