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Write a Program to generate a random connected undirected graph on a n vertices by generating random pairs of integers between 1 and n. Compute how many edges are needed to produce a connected graph(as a function of n). Implement the union-find algorithm, with the Weighted Balancing and the splitting …
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Implement the following improvement to the quick sort and find out the percentage of key comparisons that can be saved in each case. Using randomly generated 1000 integers as input for sorting. Repeat the experiment 1000 times for each case to get the average percentage reduction in key comparisons. Case … 
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