1
GATE CSE 2016 Set 2
Numerical
+2
-0
A complete binary min-heap is made by including each integer in $$[1,1023]$$ exactly once. The depth of a node in the heap is the length of the path from the root of the heap to that node. Thus, the root is at depth $$0.$$ The maximum depth at which integer $$9$$ can appear is ___________.
Your input ____
2
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
An operator $$delete(i)$$ for a binary heap data structure is to be designed to delete the item in the $$i$$-th node. Assume that the heap is implemented in an array and i refers to the $$i$$-th index of the array. If the heap tree has depth $$d$$ (number of edges on the path from the root to the farthest leaf), then what is the time complexity to re-fix the heap efficiently after the removal of the element?
3
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider a max heap, represented by the array: 40, 30, 20, 10, 15, 16, 17, 8, 4.
Array Index | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
---|---|---|---|---|---|---|---|---|---|
Value | 40 | 30 | 20 | 10 | 15 | 16 | 17 | 8 | 4 |
Now consider that a value 35 is inserted into this heap. After insertion, the new heap is
4
GATE CSE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Assume that a mergesort algorithm in the worst case takes $$30$$ seconds for an input of size $$64.$$ Which of the following most closely approximates the maximum input size of a problem that can be solved in $$6$$ minutes?
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GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages