Write a Python program to sort a list of elements using the merge sort algorithm.
Note: According to Wikipedia “Merge sort (also commonly spelled mergesort) is an O (n log n) comparison-based sorting algorithm. Most implementations produce a stable sort, which means that the implementation preserves the input order of equal elements in the sorted output.”
Conceptually, a merge sort works as follows :
- Divide the unsorted list into n sublists, each containing 1 element (a list of 1 element is considered sorted).
- Repeatedly merge sublists to produce new sorted sublists until there is only 1 sublist remaining. This will be the sorted list.
An example of merge sort:
def mergeSort(nlist): print("Splitting ",nlist) if len(nlist)>1: mid = len(nlist)//2 lefthalf = nlist[:mid] righthalf = nlist[mid:] mergeSort(lefthalf) mergeSort(righthalf) i=j=k=0 while i < len(lefthalf) and j < len(righthalf): if lefthalf[i] < righthalf[j]: nlist[k]=lefthalf[i] i=i+1 else: nlist[k]=righthalf[j] j=j+1 k=k+1 while i < len(lefthalf): nlist[k]=lefthalf[i] i=i+1 k=k+1 while j < len(righthalf): nlist[k]=righthalf[j] j=j+1 k=k+1 print("Merging ",nlist) nlist = [14,46,43,27,57,41,45,21,70] mergeSort(nlist) print(nlist)
Splitting [14, 46, 43, 27, 57, 41, 45, 21, 70] Splitting [14, 46, 43, 27] Splitting [14, 46] Splitting  Merging  Splitting  ------- Merging [14, 21, 27, 41, 43, 45, 46, 57, 70] [14, 21, 27, 41, 43, 45, 46, 57, 70]
Write a Python program to sort a list of elements using the merge sort algorithm
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