Data Structures and Problem Solving - May 2014

Computer Engineering (Semester 3)

TOTAL MARKS: 100
TOTAL TIME: 3 HOURS (1) Question 1 is compulsory.
(2) Attempt any four from the remaining questions.
(3) Assume data wherever required.
(4) Figures to the right indicate full marks.

Answer any one question from Q1 and Q2

1 (a) Find the frequency count for the following code.
for(i=1;i<=n;i++)
{
for(i=1;i<=n;i++)
{
for(i=1;i<=n;i++)
{
sum=sum+I;
}
}
}(3 marks) 1 (b) Write a function for selection sort using templates.(3 marks) 1 (c) What is ADT? Write an ADT for Deques.(6 marks) 2 (a) Explain different Asymptotic notations.(3 marks) 2 (b) Convert the following tree into Binary tree.

(6 marks) 2 (c) Consider the following tree given in the problem. Show a Postorder, Preorder and In order Traversal of the tree.

(3 marks)

Answer any one question from Q3 and Q4

3 (a) Sort the digraph for topological sort refer figure 1 below.

(3 marks) 3 (b) Convert given graph into MST refer figure 2 below. (3 marks) 3 (c) What is collision? What Are different collision resolution techniques?(3 marks) 3 (d) Draw a binary search tree for the following data 10, 08, 15, 12, 13, 07, 09, 17, 20, 18, 04, 05.(3 marks) 4 (a) Explain with suitable example the various storage structures for the graph.(6 marks) 4 (b) Construct the AVL tree for the following data by inserting each data item one at a time. 15, 20, 24, 10, 13, 7, 30, 36, 25.(6 marks)

Answer any one question from Q5 and Q6

5 (a) Sort the following data in ascending order using heap sort.15, 19, 10, 7, 17, 16.(6 marks) 5 (b) Write an algorithm to search an element in a B Tree.(4 marks) 5 (c) Define sequential file organization and state its advantages and disadvantages.(3 marks) 6 (a) What is ISMA in file organization? Explain Advantages & Disadvantages of sequential file organization.(6 marks) 6 (b) What is a B+ tree? Give structure of its internal node. What are the order of B+ tree & Characteristics of B+ tree.(7 marks)

Answer any one question from Q7 and Q8

7 (a) Explain in detail the models used for parallel computation.(6 marks) 7 (b) Write a parallel algorithm to perform the addition of the given numbers using complete binary tree method.(7 marks) 8 (a) Write a parallel algorithm for pointer doubling. Explain with suitable example.(7 marks) 8 (b) Write a parallel algorithm for odd-even merge sort.(6 marks)