# What is the average case time complexity of linear search?

## What is the average case time complexity of linear search?

Linear search

Class Search algorithm
Worst-case performance O(n)
Best-case performance O(1)
Average performance O(n/2)
Worst-case space complexity O(1) iterative

What is average case time complexity?

In computational complexity theory, the average-case complexity of an algorithm is the amount of some computational resource (typically time) used by the algorithm, averaged over all possible inputs. The analysis of such algorithms leads to the related notion of an expected complexity.

What is worst case complexity of linear search?

O(n)
Linear search/Worst complexity
What is the worst case for linear search? Explanation: Worst case is when the desired element is at the tail of the array or not present at all, in this case you have to traverse till the end of the array, hence the complexity is O(n).

### What is linear search write linear search algorithm and find its time complexity?

Linear Search is the simplest searching algorithm. It traverses the array sequentially to locate the required element. It searches for an element by comparing it with each element of the array one by one. So, it is also called as Sequential Search.

What is the best case complexity of linear search?

O(1)
In linear search, best-case complexity is O(1) where the element is found at the first index. Worst-case complexity is O(n) where the element is found at the last index or element is not present in the array.

Is Big O average or worst case?

Worst case — represented as Big O Notation or O(n) Big-O, commonly written as O, is an Asymptotic Notation for the worst case, or ceiling of growth for a given function. It provides us with an asymptotic upper bound for the growth rate of the runtime of an algorithm.

## What is the best time complexity of linear search?

Time Complexity In linear search, best-case complexity is O(1) where the element is found at the first index. Worst-case complexity is O(n) where the element is found at the last index or element is not present in the array.

What is linear search in C?

A linear search, also known as a sequential search, is a method of finding an element within a list. It checks each element of the list sequentially until a match is found or the whole list has been searched.

Which is faster binary or linear search?

Binary search is faster than linear search except for small arrays. However, the array must be sorted first to be able to apply binary search. There are specialized data structures designed for fast searching, such as hash tables, that can be searched more efficiently than binary search.

### Why is Big-O not worst case?

Although big o notation has nothing to do with the worst case analysis, we usually represent the worst case by big o notation. So, In binary search, the best case is O(1), average and worst case is O(logn). In short, there is no kind of relationship of the type “big O is used for worst case, Theta for average case”.