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Question: Repeat Exercise for four numbers. Try to design an O(N2 log N) algorithm.
Exercise: An array contains N numbers, and you want to determine whether two of the numbers sum to a given number K. For instance, if the input is 8, 4, 1, 6 and K is 10, the answer is yes (4 and 6). A number may be used twice. Do the following.
a. Give an O(N 2) algorithm to solve this problem.
b. Give an O(N log N) algorithm to solve this problem. (Hint: Sort the items first. After doing so, you can solve the problem in linear time.)
c. Code both solutions and compare the running times of your algorithms.
Draw a red-black tree for the following values inserted in this order. Illustrate each operation that occurs: w k o s y t p r
- First insert them sequentially into a binary search tree. - Next reinsert them into an empty AVL tree, restoring the AVL property after each insertion. Show the AVL tree which results after each insertion.
Draw three spanning trees that can be found in the graph in Figure. Give the breadth-first traversal of the graph in Figure, starting from vertex A.
Calculate an arithmetic mean, median, and mode for up to fifty test scores. The information are contained in a text file. To determine the median, first sort the array.
Design a script that will permit the user to enter one of several choices from the command line. The specific requirements are as follows:
1 consider searching algorithms on the following array of datanbsp22 21 9 4 16 2 10 14 20 31 26 19 17 28 8
Draw a matrix similar that shows the relationship between security mechanisms and attacks - Show the calculations for corresponding decryption of the ciphertext to recover the original plaintext.
Write and test a program that instantiates a function template that returns the minimum of two values. Write and test a program that instantiates a function template that implements a binary search of a sorted array of objects.
Show that the reachability matrix R for an undirected graph with n vertices can be constructed in 0 ( n 2 )time.
Using the UML diagram and variable list , create Pseudocode for the program.
An embedded system is a computer system performing dedicated functions within a larger mechanical or electrical system. Embedded systems range from portable devices such as Google Glasses, to large stationary installations like traffic lights, fa..
Discuss the benefits of dynamic over-static arrays. Under what conditions will you choose dynamic arrays?
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