1
GATE CSE 2009
MCQ (Single Correct Answer)
+2
-0.6
Consider a binary max-heap implemented using an array. Which one of the following array represents a binary max-heap?
A
$$\left\{25,12,16,13,10,8,14\right\}$$
B
$$\left\{25,14,13,16,10,8,12\right\}$$
C
$$\left\{25,14,16,13,10,8,12\right\}$$
D
$$\left\{25,14,12,13,10,8,16\right\}$$
2
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
We have a binary heap on n elements and wish to insert n more elements (not necessarily one after another) into this heap. The total time required for this is
A
$$\Theta(\log n)$$
B
$$\Theta(n)$$
C
$$\Theta(n\log n)$$
D
$$\Theta(n^2)$$
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the process of inserting an element into a Max Heap, where the Max Heap is represented by an array. Suppose we perform a binary search on the path from the new leaf to the root to find the position for the newly inserted element, the number of comparisons performed is:
A
$$\Theta(\log_2n)$$
B
$$\Theta(\log_2\log_2n)$$
C
$$\Theta(n)$$
D
$$\Theta(n\log_2n)$$
4
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6

A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right, is stored from a[1] to a[3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property.

Suppose the elements 7, 2, 10 and 4 are inserted, in that order, into the valid 3- ary max heap found in the previous question. Which one of the following is the sequence of items in the array representing the resultant heap?

A
10, 7, 9, 8, 3, 1, 5, 2, 6, 4
B
10, 9, 8, 7, 6, 5, 4, 3, 2, 1
C
10, 9, 4, 5, 7, 6, 8, 2, 1, 3
D
10, 8, 6, 9, 7, 2, 3, 4, 1, 5
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP