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Question: Programs A and B are analyzed and are found to have worst-case running times no greater than 15ON log N and N2, respectively. Answer the following questions, if possible.

a. Which program has the better guarantee on the running time for large values of N (N > 10,000)?

b. Which program has the better guarantee on the running time for small values of N (N < 1="" oo)?="">

c. Which program will run faster on average for N = 1000?

d. Can program B run faster than program A on all possible inputs?

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