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HIT220 Algorithms And Complexity

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Question:-

1.Important features of Object Oriented programming areencapsulation, abstraction, inheritance and polymorphism.

2.Given an n-element sequence S, you have an algorithmB that chooses (first integer lesthan nlogn)bnlogncelements at random andexecutes anO(n2)-time calculating for each. What is the worst case runningtime of B?

3. A program to generate all the permutations of a set isrun on a computer that writes the output to a file at a rate of 1500 permutationsper second. How long will it take the computer to generate all the permutationsof a set with 6 (distinct) elements?

4 .Write in pseudo code a recursive algorithm for findingthe maximum element in a sequence, P, ofn2elements. What is your runningtime and space usage?

5. Memoization and Dynamic programming are both meth-ods used in recursive algorithms for what purpose? Explain in one to two sen-tences how this is achieved.

6 .Def Arithmetic ( n )

for i in range (1,n):

for j in range( 1 , ( i + 1 ) / 3 ) :

a=n ˆ ij

retune

What is the big O complexity of Arithmetic.

7.What are the two manipulation functions required fora Stack ADT based on a Linked List. Give the pseudo code to implement theseon the base structurr.

8 (1). Write a definition for a general Graphand write in words Euler’s gen-eralise theorem on the complete traversal of a graph, which is called anEulerian cycle. If you remove the condition of the start and end pointbeing the same, you have anEulerian path

(2). Draw a graph with 7 vertices that has: an Euler cycle; an Euler path butnot an Euler cycle; neither of these.

(3). Write in pseudo code an algorithm to traverse a graph and verify if thegraph has an Eulerian cycle or path. First consider how you will representthe edges and vertices in your code and show this.

 

 

HIT220 Algorithms And Complexity

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Your task in this assignment is to write a Python program that generates a small web site for a local sports club.  It will read some input data from a text file (e.g., a spreadsheet in comma-separated-values, or CSV, format) and automatically generate several web pages with links going between ...

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Task: Design a program that asks the user to enter the total square feet in a tract of land and calculates the number of acres in a tract.Hint: Divide the amount entered by 43,560 to get the number of tracts.Note: 43560 should be stored a numeric constantAssignment Submission1)Project must be submi ...

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