Q. Consider the following C function:

int f(int n)
{
static int i = 1;
if (n >= 5)
return n;
n = n+i;
i++;
return f(n);
}

The value returned by f(1) is

View solution

Q. Consider the following program fragment for reversing the digits in a given integer to obtain a new integer. Let n = D1D2…Dm

int n, rev;
rev = 0;
while (n > 0)
{
rev = rev*10 + n%10;
n = n/10;
}

The loop invariant condition at the end of the ith iteration is:

View solution

Q. Consider the following C program segment:

char p[20];
char *s = "string";
int length = strlen(s);
int i;
for (i = 0; i < length; i++)
p[i] = s[length — i];
printf("%s",p);

The output of the program is

View solution

Q. Consider the label sequences obtained by the following pairs of traversals on a labeled binary tree. Which of these pairs identify a tree uniquely ?

(i) preorder and postorder
(ii) inorder and postorder
(iii) preorder and inorder
(iv) level order and postorder

View solution

Q. Two matrices M1 and M2 are to be stored in arrays A and B respectively. Each array can be stored either in row-major or column-major order in contiguous memory locations. The time complexity of an algorithm to compute M1 × M2 will be

View solution

Q. Consider the following C program

main()
{
int x, y, m, n;
scanf ("%d %d", &x, &y);
/* Assume x > 0 and y > 0 */
m = x;
n = y;
while (m! = n)
{
if (m > n)
m = m - n;
else
n = n - m;
}
print f ("% d", n);
}

The program computes

View solution

Q. What does the following algorithm approximate?

x = m;
y = 1;
while (x - y > e)
{
x = (x + y)/2;
y = m/x;
}
print(x);

(Assume m > 1, e > 0).

View solution

Q. Consider the following C program segment

struct CellNode
{
struct CelINode *leftchild;
int element;
struct CelINode *rightChild;
}

int Dosomething(struct CelINode *ptr)
{
int value = 0;
if (ptr != NULL)
{
if (ptr->leftChild != NULL)
value = 1 + DoSomething(ptr->leftChild);
if (ptr->rightChild != NULL)
value = max(value, 1 + DoSomething(ptr->rightChild));
}
return (value);
}

The value returned by the function DoSomething when a pointer to the root of a non-empty tree is passed as argument is

View solution

Q. The order of an internal node in a B+ tree index is the maximum number of children it can have. Suppose that a child pointer takes 6 bytes, the search field value takes 14 bytes, and the block size is 512 bytes. What is the order of the internal node?

View solution

Q. Let A[1, ..., n] be an array storing a bit (1 or 0) at each location, and f(m) is a unction whose time complexity is θ(m). Consider the following program fragment written in a C like language:

counter = 0;
for (i = 1; i < = n; i++)
{
if (A[i] == 1)
counter++;
else {
f(counter);
counter = 0;
}
}

The complexity of this program fragment is

View solution

Q. The time complexity of the following C function is (assume n > 0)

int recursive (int n) {
if (n == 1)
return (1);
else
return (recursive (n - 1) + recursive (n - 1));
}

View solution

Q. A program takes as input a balanced binary search tree with n leaf nodes and computes the value of a function g(x) for each node x. If the cost of computing g(x) is min{no. of leaf-nodes in left-subtree of x, no. of leaf-nodes in right-subtree of x} then the worst-case time complexity of the program is

View solution

Q. Choose the best matching between the programming styles in Group 1 and their characteristics in Group 2.

 Group-1 Group-2
 P.  Functional 1. Command-based, procedural
 Q.  Logic   2. Imperative, abstract data type
 R.  Object-oriented  3. Side-effect free, declarative, expression evaluation
 S.  Imperative   4. Declarative, clausal representation, theorem proving

View solution

Q. How many B-tree of order 3 can be constructed using 3 district keys?

View solution

Q. Which of the following is a minimum number of leaf nodes in a B-Tree of order 4 with height 3?

View solution

Q. If we are accessing a block in 100 block index using binary search, how many block read is Required to access the data in 100th block?

View solution

Q. Find the minimum number of elements that need to be placed in a B-tree of order 3 to reach 4 Levels?

View solution

Q. Construct a B+ tree for (1, 4, 7, 10, 17, 21, 31, 25, 19, 20, 28, 42) with n = 4. What is the key value at the root node?

View solution

Q. Calculate the order of B – tree using the following:

Block size = 512 bytes
Record pointer = 7 bytes
Block pointer = 6 bytes
Key filed = 9 bytes

View solution

Q. How many B+ trees of order 3 can be constructed using 3 district keys?

View solution