**IGNOU BCA(4) BCSL-045 Introduction to Algorithm Design Lab Solved Assignment 2019-20**

**Course Code: ****BCSL-045**

**Course Title: ****Introduction to Algorithm Design Lab**

**Assignment Number: ****BCA(4)****/L-045/Assignment/****2019-20**

**Maximum Marks: 50 **

**Weightage: 25% **

**Last date of Submission: ****15th October 2019**** (****For July 2019 Session****) **

**15th April 2020**** (****For January 2020 Session****)**

*Note:** Answer all the questions in the assignment having 40 marks in total. 10 marks are for viva voce. You are required to write programs in C-language for all the problems, execute and show the results. You may use illustrations and diagrams to enhance the explanations. Please go through the guidelines regarding assignments given in the Programme Guide for the format of the presentation. Make a suitable assumption if necessary.*

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**Q1.** Write a program to compute , where both đť‘‹ and đť‘› an integer numbers using left to right binary exponentiation algorithm.

**Q2. **Write a program to find the largest number in the five arrays using ** linear search algorithm**. Calculate the total no of comparison operations and the number of times the loop will execute.

85 | 45 | 70 | 30 | 25 | 35 | 40 | 5 | 10 | 17 |

**Â ****Q3.** Write a program to traverse a graph using BFS. Apply this algorithm to the following graph and write the sequence of vertices to be traveled. Also, calculate the number of times the loop(s) will execute.

**Q4.** Implement GCD (Greatest common divisor) problem using Euclidâ€™s algorithm. Apply this algorithm to find the output of GCD of 225 and 15. Also, calculate how many times the mod and equal operations will execute.

**Q5. **Implement and apply Kruskalâ€™s algorithm to find a minimum cost spanning tree and test the result for the following graph:

**Q6.** Implement Karatsubaâ€™s method using Divide & Conquer method to multiply two integer numbers. Test the result in multiplication of the following numbers and count the number of multiplication operations.

**Â ****Q7. **Draw a complete graph with 6 vertices. Write a C-Program to represent the graph using adjacency matrix and adjacency list.

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