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Merge sort

Description

Merge sort is an efficient, general-purpose, comparison-based sorting algorithm.

Conceptually, a merge sort works as follows:

  • divide the unsorted list into n sublists, each containing one element (a list of one element is considered sorted).
  • repeatedly merge sublists to produce new sorted sublists until there is only one sublist remaining. This will be the sorted list.

Implementation

mergeSort(arr) should return the origin arr, sorted with merge sort.

You should create 2 separate functions:

  • mergeSort() that takes in a single, unsorted array as a parameter and split the array into two halves.
  • merge() that takes in two sorted arrays as parameters, merges those sorted arrays into one and returns one sorted array.

Example:

mergeSort([5, 3, 8, 2, 1, 4]) //  [1, 2, 3, 4, 5, 8]