Your computer runs an algorithm that has an order of growth as n*log(n) equal to the number of instructions to execute for data input of size n. If n = 10000 then number of instructions to execute for n = 10000 is: 40000 132877 10000 92103 9

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Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.