Showing posts with label Computer Fundamentals. Show all posts
Showing posts with label Computer Fundamentals. Show all posts

Friday, 21 April 2017

DSA Lab - Time Complexity (Big-O) cheat sheet of different data structures

Common Data Structure Operations

Data StructureTime ComplexitySpace Complexity
AverageWorstWorst
AccessSearchInsertionDeletionAccessSearchInsertionDeletion
ArrayΘ(1)Θ(n)Θ(n)Θ(n)O(1)O(n)O(n)O(n)O(n)
StackΘ(n)Θ(n)Θ(1)Θ(1)O(n)O(n)O(1)O(1)O(n)
QueueΘ(n)Θ(n)Θ(1)Θ(1)O(n)O(n)O(1)O(1)O(n)
Singly-Linked ListΘ(n)Θ(n)Θ(1)Θ(1)O(n)O(n)O(1)O(1)O(n)
Doubly-Linked ListΘ(n)Θ(n)Θ(1)Θ(1)O(n)O(n)O(1)O(1)O(n)
Skip ListΘ(log(n))Θ(log(n))Θ(log(n))Θ(log(n))O(n)O(n)O(n)O(n)O(n log(n))
Hash TableN/AΘ(1)Θ(1)Θ(1)N/AO(n)O(n)O(n)O(n)
Binary Search TreeΘ(log(n))Θ(log(n))Θ(log(n))Θ(log(n))O(n)O(n)O(n)O(n)O(n)
Cartesian TreeN/AΘ(log(n))Θ(log(n))Θ(log(n))N/AO(n)O(n)O(n)O(n)
B-TreeΘ(log(n))Θ(log(n))Θ(log(n))Θ(log(n))O(log(n))O(log(n))O(log(n))O(log(n))O(n)
Red-Black TreeΘ(log(n))Θ(log(n))Θ(log(n))Θ(log(n))O(log(n))O(log(n))O(log(n))O(log(n))O(n)
Splay TreeN/AΘ(log(n))Θ(log(n))Θ(log(n))N/AO(log(n))O(log(n))O(log(n))O(n)
AVL TreeΘ(log(n))Θ(log(n))Θ(log(n))Θ(log(n))O(log(n))O(log(n))O(log(n))O(log(n))O(n)
KD TreeΘ(log(n))Θ(log(n))Θ(log(n))Θ(log(n))O(n)O(n)O(n)O(n)O(n)

DSA Lab Assignment 1 - Time and space complexity of different data structures & algorithms

Q 1:

Write the time and space complexity of the following data structures:

  • Array
  • Stack
  • Queue
  • LinkedList
  • HashTable
  • BinarySearchTree
  • AVL
Also write the time complexity of Insertions, Deletion and Access operations of above mentioned data structures.


Q 2:

Write the time and space complexity of the following algorithms:
  • Quick Sort
  • Selection Sort
  • Bubble Sort
  • Merge Sort
  • Insertion Sot
  • Linear Search
  • Binary Search

Sunday, 12 October 2014

Slides of Computer Fundamentals By P.K. Sinha

Computer Fundamentals  By P.K. Sinha is mostly referred by teachers for Introduction to Computing.
Here are the slides from this book , which gonna help you a lot for this course

Download Here