##### Question

In: Computer Science

# Sort 101, 55, 64, 23, 12, 09, 45, 32, 19, 65, 89 using Quick sort. Write...

Sort 101, 55, 64, 23, 12, 09, 45, 32, 19, 65, 89 using Quick sort. Write the algorithm.

## Solutions

##### Expert Solution

Solutions:-

code:-

#include <stdio.h>
#include<conio.h>
void swap(int *a, int *b)
{
int t=*a;
*a=*b;
*b=t;
}

int partition(int arr[],int l,int h)
{
int p=arr[h];
int i=(l-1);
for(int j=l;j<h;j++)
{
if(arr[j]<=p)
{
i++;
swap(&arr[i],&arr[j]);
}
}
swap(&arr[i+1],&arr[h]);
return (i+1);
}

void Quick_Sort(int arr[],int l,int h)
{
if(l<h)
{
int pi=partition(arr,l,h);
Quick_Sort(arr,l,pi-1);
Quick_Sort(arr,pi+1,h);
}
}

void printing(int arr[],int s)
{
for(int i=0;i<s;i++)
{
printf("%d\n",arr[i]);
}
}

int main()
{
int data[] = {101, 55, 64, 23, 12, 9, 45, 32, 19, 65, 89};
int n=(sizeof(data)/sizeof(data[0]));
Quick_Sort(data,0,n-1);
printf("Sorted array:\n");
printing(data,n);
}

output:

Algorithm:-

Quick_Sort(arr, LMI, RMI)

if (LMI <RMI)

PI <- partition(arr, LMI, RMI)

Quick_Sort(arr, LMI, PI)

Quick_Sort(arr, PI + 1, RMI)

partition(arr,LMI, RMI)

set RMI as PI

store_Index<-LMI - 1

for (i <- LMI + 1 to RMI)

if (element[i] < P_Element)

swap element[i] and element[store_Index]

store_Index++

swap P_Element and element[store_Index+1]

return store_Index + 1

NOte:-

LMI=Left Most Index

RMI=Right Most Index

P_Element=Pivot element

PI=pivot index

arr=Array

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