Question: C-7.8 Suppose we implement the tree-based union-find data structure, but we don't use the union-by-size heuristic nor the path-compression heuristic. Show that the total running

C-7.8 Suppose we implement the tree-based union-find data structure, but we

C-7.8 Suppose we implement the tree-based union-find data structure, but we don't use the union-by-size heuristic nor the path-compression heuristic. Show that the total running time for performing a sequence of n union and find operations, starting with n singleton sets, is (n2) in this case. That is, provide a proof that it is O(n2) and an example that requires (n2) time. C-7.8 Suppose we implement the tree-based union-find data structure, but we don't use the union-by-size heuristic nor the path-compression heuristic. Show that the total running time for performing a sequence of n union and find operations, starting with n singleton sets, is (n2) in this case. That is, provide a proof that it is O(n2) and an example that requires (n2) time

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