18CSL47 Design and Analysis of Algorithm Laboratory syllabus for IS



A d v e r t i s e m e n t

Module-1 Programs List 0 hours

Programs List:

1. a. Create a Java class called Student with the following details as variables within it.

(i) USN

(ii) Name

(iii) Programme

(iv) Phone

Write a Java program to create nStudent objects and print the USN, Name, Programme, and Phoneof these objects with suitable headings.

b. Write a Java program to implement the Stack using arrays. Write Push(), Pop(), and Display() methods to demonstrate its working.

2.a. Design a superclass called Staff with details as StaffId, Name, Phone, Salary. Extend this class by writing three subclasses namely Teaching (domain, publications), Technical (skills), and Contract (period). Write a Java program to read and display at least 3 staff objects of all three categories.

b. Write a Java class called Customer to store their name and date_of_birth. The date_of_birth format should be dd/mm/yyyy. Write methods to read customer data as and display as using StringTokenizer class considering the delimiter character as “/”.

3. a. Write a Java program to read two integers a andb. Compute a/b and print, when b is not zero. Raise an exception when b is equal to zero.

b. Write a Java program that implements a multi-thread application that has three threads. First thread generates a random integer for every 1 second; second thread computes the square of the number andprints; third thread will print the value of cube of the number.

4. Sort a given set of n integer elements using Quick Sort method and compute its time complexity. Run the program for varied values of n> 5000 and record the time taken to sort. Plot a graph of the time taken versus non graph sheet. The elements can be read from a file or can be generated using the random number generator. Demonstrate using Java how the divide-and-conquer method works along with its time complexity analysis: worst case, average case and best case.

5. Sort a given set of n integer elements using Merge Sort method and compute its time complexity. Run the program for varied values of n> 5000, and record the time taken to sort. Plot a graph of the time taken versus non graph sheet. The elements can be read from a file or can be generated using the random number generator. Demonstrate using Java how the divide-and-conquer method works along with its time complexity analysis: worst case, average case and best case.

6. Implement in Java, the 0/1 Knapsack problem using (a) Dynamic Programming method (b) Greedy method.

7. From a given vertex in a weighted connected graph, find shortest paths to other vertices using Dijkstra's algorithm. Write the program in Java.

8. Find Minimum Cost Spanning Tree of a given connected undirected graph using Kruskal'salgorithm. Use Union-Find algorithms in your program

9. Find Minimum Cost Spanning Tree of a given connected undirected graph using Prim's algorithm.

10. Write Java programs to

(a) Implement All-Pairs Shortest Paths problem using Floyd's algorithm.

(b) Implement Travelling Sales Person problem using Dynamic programming.

11. Design and implement in Java to find a subset of a given set S = {Sl, S2,.....,Sn} of n positive integers whose SUM is equal to a given positive integer d. For example, if S ={1, 2, 5, 6, 8} and d= 9, there are two solutions {1,2,6}and {1,8}. Display a suitable message, if the given problem instance doesn't have a solution. 12. Design and implement in Java to find all Hamiltonian Cycles in a connected undirected Graph G of n vertices using backtracking principle.

 

Laboratory Outcomes:

The student should be able to:

• Design algorithms using appropriate design techniques (brute-force, greedy, dynamic programming, etc.)

• Implement a variety of algorithms such assorting, graph related, combinatorial, etc., in a high level language.

• Analyze and compare the performance of algorithms using language features.

• Apply and implement learned algorithm design techniques and data structuresto solve real-world problems.

 

Conduct of Practical Examination:

• Experiment distribution

  • For laboratories having only one part: Students are allowed to pick one experiment from the lot with equal opportunity.
  • For laboratories having PART A and PART B: Students are allowed to pick one experiment from PART A and one experiment from PART B, with equal opportunity.

• Change of experiment is allowed only once and marks allotted for procedure to be made zero of the changed part only.

• Marks Distribution (Courseed to change in accoradance with university regulations)

e) For laboratories having only one part – Procedure + Execution + Viva-Voce: 15+70+15 = 100 Marks

f) For laboratories having PART A and PART B

i. Part A – Procedure + Execution + Viva = 6 + 28 + 6 = 40 Marks

ii. Part B – Procedure + Execution + Viva = 9 + 42 + 9 = 60 Marks

Last Updated: Tuesday, January 24, 2023