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Consider searching algorithms on the following array of data: [22 21 9 4 16 2 10 14 20 31 26 19 17 28 8 13] Suppose you want to implement a searching algorithm to see if the data set contains the number 19. Demonstrate how the search would go if you used: o A sequential search o A binary search State the runtime for each of the searches, in this example, and for general data sets of size n. Address the issue of the order of the data in binary searching.
• Suppose an algorithm that processes a data set of size 8 has a runtime of 72, and the same algorithm on a data set of size 20 has a runtime of 420. Using big-O notation, state the runtime for this algorithm for the general case of a data set of size n.
• Suppose you develop an algorithm that processes the first element of an array (length of n), then processes the first 2 elements, then the first 3 elements, and so on, until the last iteration of a loop, when it processes all elements. Thus, if n = 4, the runtime would be 1 + 2 + 3 + 4 = 10. o Create a table that depicts the runtime for arrays of length 1 to 10. Would you expect the general runtime to be O(n), O(n2), O(n3), or some other function of n? Explain.
Suppose that the n is an exact power of two. The circuit consists of a complete binary tree of ripple carry adders, in which each node in tree adds 2-numbers.
Detailed requirements. Using guidance provided in the text, (specifically chapters 12 and 13) develop your detailed requirements. Develop as many as possible but you must cover some detailed requirements for each of your high level requirements.
Create an Alice World with four helicopters and a list containing the helicopters. Program the world to make the helicopters each lift off from the ground one at a time and then all turn and fly away together.
"Consensus algorithm": A group of ten people need to decide which one flavor of ice cream they will all order, out of three options.
Design a model using a flow diagram or pseudo code, hardware, and a software driver that can display the BCD digits 0-9 on a single-digit LED display. Build the BCD to seven-segment decoder in the software.
Prompt the user for a string, and display the corresponding number. For example, if the user types "five", the program would output "5". This must be done using the hashtable as created in the previous step.
If Encrypt-It-Rite would like to increase average cracking time to at least 100 years, determine the minimal length of the key?
Use the binary search algorithm to seach the list. (You might need to modify the algorithm given in this chapter to count the number of comparisons.)
For inputs of size n, insertion sort runs in 8n 2 steps, where as merge sort runs in 64* nlog base 2 n steps. For which values of n odes insertion sort beat merge sort?
Use separate chaining to store the following keys. Consider that each letter is a number corresponding to the sequence of English alphabets. That is, A->1,
Paws'n Tails is an online pet shop that wants to influence what customers buy and builkd effective customer relationships and loyalty.
Since Napster is going out of business, you have decided to begin your own on line music sharing site. You will give individual music documents at your site.
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