True/False 

• An algorithm is a sequence of unambiguous instructions for solving a problem, i.e., for obtaining a required output for any legitimate input in an infinite  amount of time.
• We can sort, search and manipulate large volume of data without using arrays. 
• To perform a sequential search the data set must be sorted. 
• To perform a binary search the data set must be  sorted.  
• Hackers use exhaustive search for an element with special property.
• BFS has same efficiency as DFS and can be implemented with graphs.
• A dag: a directed acyclic graph, i.e. a directed graph with no (directed) cycles. 
• To generate permutation for a set of N object we can use brute force.
• Binary search can be done using divide and conquer. 
• Exponentiation can be done by Squaring 

Algorithms Analysis

Write a Brute Force Algorithm to compute the exponent of an integer number using loop .Use  equality  gcd(m,n) = gcd(n, m mod n) and show all steps to find:   gcd(80, 24) = …….    What is the worse case, best case and average case efficiency for algorithm sequential search on page 6 PP slides chapter 2 Analysis of Algorithms posted under week 2 Moodle? Assume that array A contains the following data:

A[0]             A[1]             A[2]            A[3]             A[4]             A[5]

 

Use the algorithm Maximum element on page 25 pp slides chapter 2 Analysis of algorithms posted under week 2 and show ( write down) all the values for index i,  A[i] and maxval.

In simple word show what is the content of i , A[i] and maxval for each iteration of the loop. 

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