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Time complexities of different data structures
  • Difficulty Level : Basic
  • Last Updated : 08 Mar, 2021

Time Complexity is a concept in computer science that deals with the quantification of the amount of time taken by a set of code or algorithm to process or run as a function of the amount of input. In other words, the time complexity is how long a program takes to process a given input. The efficiency of an algorithm depends on two parameters:

  • Time Complexity
  • Space Complexity

Time Complexity: It is defined as the number of times a particular instruction set is executed rather than the total time is taken. It is because the total time took also depends on some external factors like the compiler used, processor’s speed, etc.

Space Complexity: It is the total memory space required by the program for its execution.

Average time complexity of different data structures for different operations

Data structureAccessSearchInsertionDeletion
ArrayO(1)O(N)O(N)O(N)
StackO(N)O(N)O(1)O(1)
QueueO(N)O(N)O(1)O(1)
Singly Linked listO(N)O(N)O(1)O(1)
Doubly Linked ListO(N)O(N)O(1)O(1)
Hash TableO(1)O(1)O(1)O(1)
Binary Search TreeO(log N)O(log N)O(log N)O(log N)
AVL TreeO(log N)O(log N)O(log N)O(log N)
B TreeO(log N)O(log N)O(log N)O(log N)
Red Black TreeO(log N)O(log N)O(log N)O(log N)

Worst Case time complexity of different data structures for different operations

Data structureAccessSearchInsertionDeletion
ArrayO(1)O(N)O(N)O(N)
StackO(N)O(N)O(1)O(1)
QueueO(N)O(N)O(1)O(1)
Singly Linked listO(N)O(N)O(1)O(1)
Doubly Linked ListO(N)O(N)O(1)O(1)
Hash TableO(N)O(N)O(N)O(N)
Binary Search TreeO(N)O(N)O(N)O(N)
AVL TreeO(log N)O(log N)O(log N)O(log N)
Binary TreeO(N)O(N)O(N)O(N)
Red Black TreeO(log N)O(log N)O(log N)O(log N)

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