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Suppose you want to perform an experiment to verify the problems that can be caused by random insert/remove pairs. Here is a strategy that is not perfectly ran- dom, but close enough. You build a tree with N elements by inserting N elements chosen at random from the range 1 to M = αN. You then perform N2 pairs of inser- tions followed by deletions. Assume the existence of a routine, randomInteger(a,b), which returns a uniform random integer between a and b inclusive.
a. Explain how to generate a random integer between 1 and M that is not already in the tree (so a random insertion can be performed). In terms of N and α, what is the running time of this operation?
b. Explain how to generate a random integer between 1 and M that is already in the tree (so a random deletion can be performed). What is the running time of this operation?
c. What is a good choice of α? Why?
Convert the given binary numbers in decimal: 101110; 1110101; and 110110100. Convert the given decimal numbers to bases indicated.
A _______ is a set of commands
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If a given stepper motor has a step angle of 5 degrees, find the number of steps per Revolution.
Present to the management a revised compensation and benefit strategy. Your proposal should include a discussion of:
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Using positive edge triggered flip flops, show the design of a modulo 7 asynchronous counter that counts: 7,6...1,7, etc. You may assume that your flip flops have asynchronous Set and Reset inputs available. (Hint: Connect Q to the clock input of the..
Storage of a large number of items in main memory, where accessing an item by its position, and avoiding problems caused by memory fragmentation, are important.
What values are assigned to x when k has values of 1,2,3,4, and 10?
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