Data Structures
Stacks and Queues
Marks 1Marks 2
Linked List
Marks 1Marks 2
1
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
An array X of n distinct integers is interpreted as a complete binary tree. The index of the first element of the array is 0. If the root node is at level 0, the level of element X[i], i ≠ 0, is
A
⌊log2 i⌋
B
⌈log2 (i + 1)⌉
C
⌊log2 (i + 1)⌋
D
⌈log2 i⌉
2
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
An array X of n distinct integers is interpreted as a complete binary tree. The index of the first element of the array is 0. If only the root node does not satisfy the heap property, the algorithm to convert the complete binary tree into a heap has the best asymptotic time complexity of
A
O(n)
B
O(log n)
C
O(nlog n)
D
O(n log log n)
3
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
An array X of n distinct integers is interpreted as a complete binary tree. The index of the first element of the array is 0. The index of the parent of element X[i],i≠0 is?
A
⌊ i/2 ⌋
B
⌈ (i-1)/2 ⌉
C
⌈ i/2 ⌉
D
⌈ i/2 - 1 ⌉
4
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Which of the following sequences of array elements forms a heap?
A
{23, 17, 14, 6, 13, 10, 1, 12, 7, 5}
B
{23, 17, 14, 6, 13, 10, 1, 5, 7, 12}
C
{23, 17, 14, 7, 13, 10, 1, 5, 6, 12}
D
{23, 17, 14, 7, 13, 10, 1, 12, 5, 7}
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization