The runtime of bubblesort is roughtly proportional to n2 , where n is the list size. The runtime of mergesort is roughtly proportional to nlogn,where n is the list size. Suppose we run bubblesort on a fast computer and mergesort on a fast computer, so they both take the same time to sort a list of size 1000. Will the runtimes still be the same when we increase the list size to 1,000,000? Justify your answer.

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