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Mar 12, 2014 at 9:25 history closed D.W.
vonbrand
FrankW
David Richerby
Juho
Needs details or clarity
Mar 11, 2014 at 0:38 review Close votes
Mar 12, 2014 at 9:25
Mar 11, 2014 at 0:22 comment added D.W. Hint: to make this kind of question better, include in the question what you've tried, what part you understand, what part you are having trouble with, and try to frame a specific question about your solution -- don't just paste the exercise and expect us to solve it for you.
Mar 11, 2014 at 0:22 comment added D.W. This is a dump of an exercise problem, not a question. If you have a specific question regarding the wording of the problem or concrete steps in your own attempts at solving the problem, feel free to edit accordingly and we can reopen the question. See also here for our homework policy, and here for a relevant discussion. You may also want to check out our reference questions. If you are uncertain how to improve your question, why not ask around in Computer Science Chat?
Mar 10, 2014 at 12:13 comment added Yuval Filmus To clarify FrankW's comment, in your case the best that you can expect is for there to be some sequence of operations with amortized cost $\Theta(k)$. In contrast, if there are no decrements, then we have an amortized upper bound of $O(1)$ (which is the same as $\Theta(1)$), whatever the sequence of operations is.
Mar 10, 2014 at 12:12 answer added Yuval Filmus timeline score: 1
Mar 10, 2014 at 11:34 history edited David Richerby CC BY-SA 3.0
Latexify, edit tags
Mar 10, 2014 at 11:34 history suggested FrankW CC BY-SA 3.0
Latexify, edit tags
Mar 10, 2014 at 11:33 comment added FrankW The $\Theta$-class does not hold. You can show (with amortized analysis), that the cost is ${\cal O}(n)$ (independent of $k$). (Since $\Omega(n)$ is a trivial lower bound, we get $\Theta(n)$. Furthermore it is easy to prove without amortized analysis, that ${\cal O}(n\cdot k)$ is an upper bound.)
Mar 10, 2014 at 11:29 review Suggested edits
Mar 10, 2014 at 11:34
Mar 10, 2014 at 10:53 history edited HaloKiller CC BY-SA 3.0
edited title
Mar 10, 2014 at 10:34 history asked HaloKiller CC BY-SA 3.0