C Programming

Define the quicksort function:

This function will take three parameters:

An integer array to be sorted.

A starting index for the subarray.

An ending index for the subarray.

The quicksort function should:

Recursively call itself to sort the subarrays.

Call the partition function to perform the partitioning step.

Define the partition function:

This function will take three parameters:

The integer array to be partitioned.

The starting index for the partition.

The ending index for the partition.

The partition function should:

Choose a pivot element $($the first element in the current subarray$).$

Move elements smaller than the pivot to its left and larger elements to its right.

Return the final position of the pivot in the array.

Recursive Step:

The quicksort function should recursively sort the subarrays before and after the pivot by calling itself on smaller subarrays.

Base Case:

The base case for the recursive function should occur when the size of the subarray is $1$ or $0,$ as such subarrays are already sorted.

Code I have so far

#include

$//$ Function prototypes

void quicksort$($int arr$[],$ int low, int high$)$;

int partition$($int arr$[],$ int low, int high$)$;

int main$()\{$

$//$ Sample array to be sorted

int arr$[]=\{37,2,6,4,89,8,10,12,68,45\}$;

int size $=$ sizeof$($arr$)/$ sizeof$($arr$[0])$;

printf$("$Original array: $")$;

for $($int i $=0$; i $<$ size; i$++)\{$

printf$("\%$d $",$ arr$[$i$])$;

$\}$

printf$("$

$")$;

$//$ Call quicksort function

quicksort$($arr$,0,$ size $-1)$;

$//$ Display the sorted array

printf$("$Sorted array: $")$;

for $($int i $=0$; i $<$ size; i$++)\{$

printf$("\%$d $",$ arr$[$i$])$;

$\}$

printf$("$

$")$;

return $0$;

$\}$

$//$ Implement the quicksort function

void quicksort$($int arr$[],$ int low, int high$)\{$

if $($low $<$ high$)\{$

$//$ Call partition function to partition the array

int pivotIndex $=$ partition$($arr$,$ low, high$)$;

$//$ Recursively sort elements before and after the pivot

$//[$Insert code here to recursively call quicksort on subarrays$]$

$\}$

$\}$

$//$ Implement the partition function

int partition$($int arr$[],$ int low, int high$)\{$

$//$ Use the first element as the pivot

int pivot $=$ arr$[$low$]$;

$//[$Insert logic for partitioning based on the pivot$]$

$//$ Return the final position of the pivot

$\}$