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SPPU Electronics and Telecom Engineering (Semester 3)
Data Structures & Algorithms
May 2017
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

Solve any one question from Q.1(a,b) &Q.2(a,b)
1(a) Sort the following data using merge sort and selection sort.
142 317 45 222 187
6 M
1(b) What will be the output of the following code? Justify your answer.
for(i=0;i<4;i++)
{
for(j=0;j<4;j++)
{
a[i][j]=20 * (i+j);
printf("%d",a[i] [j]);
}
printf("\n");
}
printf('%d%d",i,j);
6 M

2(a) Write the following functions in 'C' :
i) STRCOPY ( ) To copy a string to another string using array.
ii) STRLENGTH ( ) To find length of string using array.
Note: Do not use Binary search with example.
6 M
2(b) Explain Algorithm Binary search with example.
6 M

Solve any one question from Q.3(a,b,c) &Q.4(a,b,c)
3(a) Convert the given infix expression to postfix expression using stack.
(a$b)*c-d/d Note :$ = Exponent operator
5 M
3(b) Define Queue and explain any one application of Queue.
4 M
4 M

4(a) Write a 'C' function to delete a number from singly linked list.
5 M
4(b) Explain Stack operations PUSH and POP with example.
4 M
4(c) Compare array and linked list.
4 M

Solve any one question from Q.5(a,b) &Q.6(a,b)
5(a) Construct the binary search tree from the following elements:
12, 8, 25, 14, 9, 6, 18. Also show preorder, inorder and postorder traversal for the same.
6 M
5(b) Define Binary Tree. Name and explain with suitable example the following terms:
i) Root node
ii) Left sub-tree and Right sub-tree
iii) Depth of tree.
6 M

6(a) Define the following terms with example with respect to Binary Tree:
i) Strictly Binary Tree
ii) Completely Binary Tree
iii) Binary Search Tree.
6 M
6(b) Explain the different cases to delete an element from binary search tree.
6 M

Solve any one question from Q.7(a,b) &Q.8(a,b)
7(a) Explain with suitable example, BFS and DFS traversal of a graph.
6 M
7(b) What is MST? Explain with suitable example Kruskal's Algorithm to find out MST.
7 M

8(a) Explain with suitable example the techniques to represent a Graph.
Note: Consider Graph of minimum 6 vertices.
6 M
8(b) !mage
Find shortest path from node A to all nodes in the graph shown in Fig. 1 using Dijkstra's algorithm.
7 M

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