A gap sort is a version of the bubble sort method that compares items that are some number i places away, where i is an integer smaller than n, rather than neighbouring elements each time across the list. For example, the first element would be compared to the (i + 1) element, the second element to the (i + 2) element, the nth element to the (n - i) element, and so on. When all of the items that may be compared have been compared, a single iteration is accomplished. On the following iteration, i is reduced by a value bigger than one, and the procedure is repeated until i is less than one. Utilise a gap kind.

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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.