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Join Date: Sep 2007
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Newbie Poster
1.Show that X^62 can be computed with only 8 multiplications.
2.Programs A and B are analyzed and found to have worst-case running times no greater than 150NlgN and N^2, respectively. Answer the following questions, if possible:
1. Which program has the better guarantee on the running time, for large values of N (N > 10,000)?
2. Which program has the better guarantee on the running time, for small values of N (N < 100)?
3. Which program will run faster on average for N = 1000?
4. Is it possible that program B will run faster than program A on all possible inputs?
2.Programs A and B are analyzed and found to have worst-case running times no greater than 150NlgN and N^2, respectively. Answer the following questions, if possible:
1. Which program has the better guarantee on the running time, for large values of N (N > 10,000)?
2. Which program has the better guarantee on the running time, for small values of N (N < 100)?
3. Which program will run faster on average for N = 1000?
4. Is it possible that program B will run faster than program A on all possible inputs?
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Join Date: Aug 2005
Location: near St Louis, Missouri, USA
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Join Date: Mar 2005
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Junior Poster
Well we would not start to teach you mathematics here, finally this is a programming forum, you may ask these questions in some mathematics or physics forum. But in short, there are other ways to calculate x^y than to multiply x y times, which is even not possible when y is not an integer. For practical programming, it's also sometimes useful to use function tables, may make things very fast.
Knowledge is regarded by the fool as ignorance, and the things that are profitable are to him hurtful. He liveth in death. -- Thoth the Atlantean
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