What is counting sort in analysis of algorithm?

Counting sort is a sorting algorithm that sorts the elements of an array by counting the number of occurrences of each unique element in the array. The count is stored in an auxiliary array and the sorting is done by mapping the count as an index of the auxiliary array.

How do you solve a counting sort?

Working of counting sort Algorithm

  1. Find the maximum element from the given array.
  2. Now, initialize array of length max + 1 having all 0 elements.
  3. Now, we have to store the count of each array element at their corresponding index in the count array.
  4. Now, find the index of each element of the original array.

Is counting sort the best sorting algorithm?

Counting sort is the only sorting algorithm which performs in linear time (for small range of elements). There is no comparison between any elements, so it is better than comparison based sorting techniques.

What is the purpose of counting sort?

Counting sort is an integer sorting algorithm used in computer science to collect objects according to keys that are small positive integers. It works by determining the positions of each key value in the output sequence by counting the number of objects with distinct key values and applying prefix sum to those counts.

What is counting sort complexity?

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

Why does count sort work?

Counting sort works by iterating through the input, counting the number of times each item occurs, and using those counts to compute an item’s index in the final, sorted array.

What are limitations of counting sort?

Weaknesses: Restricted inputs. Counting sort only works when the range of potential items in the input is known ahead of time. Space cost.

When should you use counting sort?

Counting sort is a stable sorting technique, which is used to sort objects according to the keys that are small numbers. It counts the number of keys whose key values are same. This sorting technique is effective when the difference between different keys are not so big, otherwise, it can increase the space complexity.