1
GATE CSE 2009
+2
-0.6
Consider a binary max-heap implemented using an array. What is the content of the array {25, 14, 16, 13, 10, 8, 12} after two delete operations?
A
{14, 13, 12, 10, 8}
B
{14, 12, 13, 8, 10}
C
{14, 13, 8, 12, 10}
D
{14, 13, 12, 8 10}
2
GATE CSE 2008
+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
+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
+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.

Which one of the following is a valid sequence of elements in an array representing 3-ary max heap?

A
1, 3, 5, 6, 8, 9
B
9, 6, 3, 1, 8, 5
C
9, 3, 6, 8, 5, 1
D
9, 5, 6, 8, 3, 1
GATE CSE Subjects
EXAM MAP
Medical
NEET