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1. When do M consecutive insertions into a binomial queue take less than 2M time units?
2. Suppose a binomial queue of N = 2k - 1 elements is built. Alternately perform M insert and deleteMin pairs. Clearly, each operation takes O(log N) time. Why does this not contradict the amortized bound of O(1) for insertion?
3. Show that the amortized bound of O(log N) for the skew heap operations described in the text cannot be converted to a worst-case bound by giving a sequence of operations that lead to a merge requiring 8(N) time.
4. Show how to merge two skew heaps with one top-down pass and reduce the merge cost to O(1) amortized time.
5. Extend skew heaps to support the decreaseKey operation in O(log N) amortized time.
The market for caviar depends on the weather. If the weather is good, the caviarsells form $30 and if the weather is bad, it sells for $20. Caviar produced one weekwill not keep until the next week. The caviar producer's cost function is given by
Write suggestions on how to improve those and other issues as needed. Your suggestions should also be based on my Powerpoint presentations and technical web pages, books or articles.
Complete the On Your Own project (PC or Mac version) according to the project instructions and submit your assignment through the online course shell.
Ship A has two instruments, which provide digital information for navigation: (1) A global positioning system (GPS) measures the position and velocity of Ship A.
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1. The basic sociological fact in Buddhism is _______. a. Karma b. Samgha
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