What is the time complexity and auxiliary space complexity of counting sort algorithm?

Counting Sort is a very efficient, stable sorting algorithm with a time and space complexity of O(n + k).

Is there any sorting algorithm with O N complexity?

Unlike other sorting algorithms, LSD Radix Sort is non-comparative and only utilizes hashing ( O(1) amortized) and simple traversals ( O(n) ); put these two ingredients together, and you have a worst-case O(n) sorting algorithm!

Which algorithm is having linear time complexity?

Table of common time complexities

Name	Example algorithms
polylogarithmic time
fractional power	Searching in a kd-tree
linear time	Finding the smallest or largest item in an unsorted array, Kadane’s algorithm, linear search
“n log-star n” time	Seidel’s polygon triangulation algorithm.

Which sorting is best for space complexity?

2 Answers. Insertion sort is an in-place sorting algorithm, meaning no auxiliary data structures, the algorithm performs only swaps within the input array. So the space complexity is O(1). In space-wise insertion sort is better.

Which sorting algorithm can be used to sort these number in linear time?

Radix Sort
Given an array where numbers are in range from 1 to n6, which sorting algorithm can be used to sort these number in linear time? Explanation: See Radix Sort for explanation.

Is there a linear sorting algorithm?

There is some algorithm that runs faster and takes linear time such as Counting Sort, Radix Sort, and Bucket Sort but they require the special assumption about the input sequence to sort. Counting Sort and Radix Sort assumes that the input consists of an integer in a small range.

Which algorithm has highest space complexity?

Discussion Forum

Que.	Which algorithm is having highest space complexity?
b.	Insertion Sort
c.	Quick Sort
d.	Merge Sort
	Answer:Merge Sort

How many sorting algorithms are there?

There are two broad types of sorting algorithms: integer sorts and comparison sorts. Comparison sorts compare elements at each step of the algorithm to determine if one element should be to the left or right of another element.

What are the best sorting algorithms?

Sorting algorithms are often classified by: Computational complexity (worst, average and best behavior) in terms of the size of the list (n). For typical serial sorting algorithms good behavior is O(n log n), with parallel sort in O(log2 n), and bad behavior is O(n2).

What are the different types of sorting algorithms?

There are two broad types of sorting algorithms: integer sorts and comparison sorts. Comparison Sorts. Comparison sorts compare elements at each step of the algorithm to determine if one element should be to the left or right of another element.

What is time complexity of algorithm?

In computer science, the time complexity of an algorithm quantifies the amount of time taken by an algorithm to run as a function of the length of the string representing the input. The time complexity of an algorithm is commonly expressed using big O notation , which excludes coefficients and lower order terms.

What is the complexity of selection sort?

In computer science, selection sort is a sorting algorithm, specifically an in-place comparison sort. It has O(n2) time complexity, making it inefficient on large lists, and generally performs worse than the similar insertion sort.