Lecture 16, 18, 20

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Quick sort uses which of the following algorithm to implement sorting?
öğrenmeye başla
divide and conquer
What is a randomized quick sort?
öğrenmeye başla
quick sort with random choice of pivot
What is the auxiliary space complexity of randomized quick sort?
öğrenmeye başla
O(log n)
What is the average time complexity of randomized quick sort?
öğrenmeye başla
O(n log n)
Randomized quick sort is an in place sort.
öğrenmeye başla
True
Randomized quick sort is a stable sort.
öğrenmeye başla
False
What is the best case time complexity randomized quick sort?
öğrenmeye başla
O(nlog n)
Which of the following is incorrect about randomized quicksort?
öğrenmeye başla
it cannot have a time complexity of O(n^2) in any case
What is the worst case time complexity of randomized quicksort?
öğrenmeye başla
O(n^2)
Using division method, in a given hash table of size 157, the key of value 172 be placed at position ____
öğrenmeye başla
15
Collisions can be reduced by choosing a hash function randomly in a way that is independent of the keys that are actually to be stored
öğrenmeye başla
True
What is the average retrieval time when n keys hash to the same slot?
öğrenmeye başla
Theta(n)
What is a hash table?
öğrenmeye başla
A data structure used to store key-value pairs
How does a hash table work?
öğrenmeye başla
It uses a hash function to map keys to array indices
What is the time complexity of inserting an element in a hash table?
öğrenmeye başla
O(1)
What is the worst-case time complexity of searching for an element in a hash table?
öğrenmeye başla
O(n)
What happens if two keys hash to the same index in a hash table?
öğrenmeye başla
A collision occurs
Depth First Search is equivalent to which of the traversal in the Binary Trees?
öğrenmeye başla
Pre-order Traversal
Time Complexity of DFS is? (V – number of vertices, E – number of edges)
öğrenmeye başla
O(V + E)
The Data structure used in standard implementation of Breadth First Search is?
öğrenmeye başla
Queue
The Depth First Search traversal of a graph will result into?
öğrenmeye başla
Tree
When the Depth First Search of a graph is unique?
öğrenmeye başla
When the graph is a Linked List
In Depth First Search, how many times a node is visited?
öğrenmeye başla
Equivalent to number of indegree of the node

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