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Merge Sort

Merge sort is a sorting algorithm that follows divide and conquer approach . 

Algorithm: 

MSort(arr[], l, r)If right > l

1. middle m = (left+right)/2

2. Call mSort(arr, left, middle)

 3. Call mSort(arr, middle+1, right)

4. repeat step 2 and 3:

     Call msort(arr, left, middle, right)

Example :

Program Code

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 = [23,47,83,13,56,69]

mergeSort(nlist)

print("Sorted list:",nlist)

Output

Splitting: [23, 47, 83, 13, 56, 69] 

Splitting: [23, 47, 83] 

Splitting: [23] 

Merging: [23] 

Splitting: [47, 83] 

Splitting: [47] 

Merging: [47] 

Splitting: [83] 

Merging: [83] 

Merging: [47, 83] 

Merging: [23, 47, 83] 

Splitting: [13, 56, 69] 

Splitting: [13] 

Merging: [13] 

Splitting: [56, 69] 

Splitting: [56] 

Merging: [56] 

Splitting: [69] 

Merging: [69] 

Merging: [56, 69] 

Merging: [13, 56, 69] 

Merging: [13, 23, 47, 56, 69, 83] 

Sorted list: [13, 23, 47, 56, 69, 83]


For more RGPV/UTMP CSE V Sem Python Lab Experiments Click here


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