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Recall that quicksort selects an element as pivot, partitions an array around the pivot, and recurseson the left and on the right of the pivot. Consider an array that contains many duplicates andobserve that for such an array, quicksort recurses on all duplicates of the pivot element. In this taskyou are to develop a new partitioning procedure that works well on arrays with many duplicates.The idea is to partition the array into elements less than the pivot, equal to the pivot and greaterthan the pivot.
(a) Develop this idea into a partitioning algorithm and provide pseudocode. Make sureyour algorithm is in-place (i.e., do not use more than a constant amount of extra space).
(b) Use your partitioning algorithm to come up with a sorting algorithm. Analyze theworst-case running time of your algorithm.
(c) Find an array on which the original quicksort runs in time Θ(n2) but your algorithmfrom (b) in Θ(n).
Draw the portion of an ASM chart that specifies a conditional operation to increment register R during state T, and transfer to state T2 if control inputs z and y are equal to I and 0, respectively.
Use your calculator to evaluate the integral correct to four decimal places
Jim and Tom played against each other in a golf tournament. Jim's final score was 6 under par, the average number of swings it should take a golfer to get his ball in the hole. Tom's score was 1under par. Describe the outcome of their match.
What additional communication methods not discussed in the reading do you believe are also beneficial? Explain what they are and how you know about them.
Write a program to erase the first 100 words of the on-chip
The filling weight for boxes of cereal is designed to have a variance .02 ounces or less. A sample of 41 boxes of cereal shows a sample standard deviation of .16 ounces. Use α .05 to determine whether the variance in the cereal box filling weight ..
After writing the interfaces, create a collection class named StringCounter. It should implement the IOrderedWordStruture, mentioned above. It should have the following methods
Show how to solve this problem by first finding a feasible solution, and by then using a max-flow algorithm.
RFC 791 describes the Internet Protocol and includes two options for source routing. Describe three disadvantages of using IP source route options compared to using MPLS for explicit routing.
Explain why the website is interesting and describe its key features. Be sure to consider who wrote the information (do they have subject expertise and are they reputable?); does the author have any bias (what motives does the author have for writing..
Ministry requires discipline and ministers must grow in their spiritual lives through spiritual disciplines. Ministers must also know how to help those who are entrusted in their care to grow spiritually. Consider prayer group meeting on a weekly bas..
Money dispenser calculatorWrite a program that produces a list of NZ notes and coins required to give change for a user-entered amount up to $1000.
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