Induction: assume correct for k < n, algorithm sorts smaller halves by induction, and then merge merges into a sorted array as proved above.

Quick sort quick sort: Orders a list of values by partitioning the list around one element called a pivot, then sorting each partition.

Now, if this list is sorted again by tutorial group number, a stable sort algorithm would ensure that all students in the same tutorial groups still appear in alphabetical order of their names

Radix sort is an algorithm that sorts numbers by processing individual digits. n numbers consisting of k digits each are sorted in O(n · k) time. Radix sort can process digits of each number either starting …

Abstract: This paper presents different type of sorting that are present in data structure for example quick, insertion, heap and merge. Each algorithm tries to solve sorting problem using different …

Our general approach when designing a divide-and-conquer algorithm is to decide how to make the problem smaller and how to unify the results of these solved, smaller problems.

MERGE SORT Use a divide-and-conquer approach: If list is of length 0 or 1, already sorted If list has more than one element, split into two lists, and sort each Merge sorted sublists Look at first element …