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Let's analyze the Heap enqueue/dequeue operations with different assumptions. Imagine that the elements already in the queue were put into a sequence with the head element at the front at the lowest priority elements toward the end. Then assume that any new element to be enqueued is equally likely to be placed anywhere into that sequence. You can assume that the heap contains n = 2k-1 elements for simplicity.
a) Find the average complexity of an enqueue operation.
b) Find the average complexity of the dequeue (remove) operation.
Illustrate that your algorithm from (a) is optimal by proving lower bound of n - k on number of comparisons required to solve the problem.
A coorporation's salesman are selling toothpaste and tooth powder. The corporation having fifty salesman gives 10% commission on the sale of toothpaste and 20 percent commission on tooth powder.
Suppose now there are three users. Find the probability that at a given time, all three users are transmitting simultaneously. Find the fraction of time during which the queue grows.
Devise an algorithm that generates an access control matrix A for any given history matrix H of the Chinese Wall model. A significant portion of the grade for this problem involves your justification of your algorithm.
Write the algorithm (described informally) which takes as input NPDA A and determines whether the language of A is nonempty.
Assume you are the Systems Analyst at a producing corporation in Seattle, WA. A Systems Analyst in your company's New York office sends you a trace file to examine.
Write a program that will read in a height in feet and inches (feet should be an integer, while inches should be a float) and will output the equivalent height in meters (as a float). Use at least three functions
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Determine the minimum number of nodes in tree to remove so that the tree is separated into subtrees of sizes at most k. Give the algorithm, the correctness proof and the time complexity.
Prepare a program that asks the user how many automobiles are to be explained, and for each automobile it inputs the user's selection of make and color.
Write a script that checks the day of the week, and takes one of two actions depending on the day. If the day is Monday through Friday, print the name of the day.
Data structures for a single algorithm
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