DO NOT CHANGE ANY OF THE FUNCTION NOR PARAMETERS I need help implementing the following sorting algorithms below in the code Please don't change or modify the given functions in anyway Heapsort can be ignored and commented away Recursive thinking is allowed This program compares the following five sort algorithms Heapsort, mergesort, quick sort, select sort, and insert sort include Provides swap include Provides EXIT SUCCESS, size t include Provides cout include provide clock function using namespace std const size t ARRAY SIZE 1 0 0 0 0 PROTOTYPES of the sorting functions used in this test program Each of these functions has the same precondition and postcondition Precondition data is an array with at least n components Postcondition The elements of data have been rearranged so that data 0 data 1 data n 1 void heapsort ( int data , size t n ) void mergesort ( int data , size t n ) void quicksort ( int data , size t n ) void selectionsort ( int data , size t n ) void insertionsort ( int data , size t n ) PROTOTYPE of a function that will test one of the sorting functions void testsort ( void sorter ( int data , size t n ) , const char name ) int main ( ) cout This program will generate arrays with ARRAY SIZE elements data i ) cout Incorrect sort at index i endl return count data i for ( i 0 i ( size t ) LIMIT i ) if ( count i 0 ) cout Incorrect numbers in the data array after sorting endl return cout Sorting completed correctly cout in ( ending beginning ) 1 0 0 0 0 seconds endl HEAPSORT IMPLEMENTATION Assume that the heap data stored in array i e we view the array as heap size t parent ( size t k ) size t left child ( size t k ) size t right child ( size t k ) make a heap based on given data array void make heap ( int data , size t n ) void reheapify down ( int data , size t n ) void heapsort ( int data , size t n ) MERGESORT IMPLEMENTATION void merge ( int data , size t n 1 , size t n 2 ) Precondition data is an array ( or subarray ) with at least n 1 n 2 elements The first n 1 elements ( from data 0 to data n 1 1 ) are sorted from smallest to largest, and the last n 2 ( from data n 1 to data n 1 n 2 1 ) also are sorted from smallest to largest Postcondition The first n 1 n 2 elements of data have been rearranged to be sorted from smallest to largest NOTE If there is insufficient dynamic memory, then bad alloc is thrown Library facilities used cstdlib void mergesort ( int data , size t n ) Precondition data is an array with at least n components Postcondition The elements of data have been rearranged so that data 0 data 1 data n 1 NOTE If there is insufficient dynamic memory, thenbad alloc is thrown Library facilities used cstdlib QUICKSORT IMPLEMENTATION size t partition ( int data , size t n ) void quicksort ( int data , size t n ) SELECTIONSORT IMPLEMENTATION void selectionsort ( int data , size t n ) Library facilities used algorithm, cstdlib INSERTION SORT IMPLEMENTATION void insertionsort ( int data , size t n )

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Question: DO NOT CHANGE ANY OF THE FUNCTION NOR PARAMETERS I need help implementing the following sorting algorithms below in the code. Please don't change or

DO NOT CHANGE ANY OF THE FUNCTION NOR PARAMETERS I need help implementing the following sorting algorithms below in the code. Please don't change or modify the given functions in anyway. Heapsort can be ignored and commented away. Recursive thinking is allowed.

/ *

This program compares the following five sort algorithms:

*

Heapsort, mergesort, quick sort, select sort, and insert sort

* /

#include

/ /

Provides swap #include

/ /

Provides EXIT

_

SUCCESS, size

_

t #include

/ /

Provides cout #include

/ /

provide clock function. using namespace std; const size

_

t ARRAY

_

SIZE

= 10000

;

/ /

PROTOTYPES of the sorting functions used in this test program:

/ /

Each of these functions has the same precondition and postcondition:

/ /

Precondition: data is an array with at least n components.

/ /

Postcondition: The elements of data have been rearranged so

/ /

that data

[0] < =

data

[1] < = . . . < =

data

[

- 1] .

void heapsort

(

int data

[],

size

_

t n

)

; void mergesort

(

int data

[],

size

_

t n

)

; void quicksort

(

int data

[],

size

_

t n

)

; void selectionsort

(

int data

[],

size

_

t n

)

; void insertionsort

(

int data

[],

size

_

t n

)

;

/ /

PROTOTYPE of a function that will test one of the sorting functions: void testsort

(

void sorter

(

int data

[],

size

_

t n

),

const char

*

name

)

; int main

()

cout

< <

"This program will generate arrays with ARRAY

_

SIZE elements"

<

data

[

])

cout

< <

"Incorrect sort at index

" < <

< <

endl; return;

count

[

data

[

]]

; for

(

= 0

; i

< (

size

_

)

LIMIT;

+ +

)

(

count

[

]! = 0)

cout

< <

"Incorrect numbers in the data array after sorting."

< <

endl; return; cout

< <

"Sorting completed correctly

"

; cout

< < "

" < < (

ending

-

beginning

) / 1000.0 < < "

seconds"

< <

endl;

/ / * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * / /

HEAPSORT IMPLEMENTATION:

/ /

Assume that the heap data stored in array. i

.

.

we view the array as heap size

_

t parent

(

size

_

t k

)

size

_

t left

_

child

(

size

_

t k

)

size

_

t right

_

child

(

size

_

t k

) / /

make a heap based on given data array void make

_

heap

(

int data

[],

size

_

t n

)

void reheapify

_

down

(

int data

[],

size

_

t n

)

void heapsort

(

int data

[],

size

_

t n

) / / * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * / / * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * / /

MERGESORT IMPLEMENTATION:

/ /

void merge

(

int data

[],

size

_

t n

1,

size

_

t n

2) / /

Precondition: data is an array

(

or subarray

)

with at least n

1 +

2

elements.

/ /

The first n

1

elements

(

from data

[0]

to data

[

1 - 1])

are sorted from

/ /

smallest to largest, and the last n

2 (

from data

[

1]

to data

[

1 +

2 - 1]) / /

also are sorted from smallest to largest.

/ /

Postcondition: The first n

1 +

2

elements of data have been rearranged to be

/ /

sorted from smallest to largest.

/ /

NOTE: If there is insufficient dynamic memory, then bad

_

alloc is thrown.

/ /

Library facilities used: cstdlib void mergesort

(

int data

[],

size

_

t n

) / /

Precondition: data is an array with at least n components.

/ /

Postcondition: The elements of data have been rearranged so

/ /

that data

[0] < =

data

[1] < = . . . < =

data

[

- 1] . / /

NOTE: If there is insufficient dynamic memory, thenbad

_

alloc is thrown.

/ /

Library facilities used: cstdlib

/ / * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * / / * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * / /

QUICKSORT IMPLEMENTATION:

/ / / / * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *

size

_

t partition

(

int data

[],

size

_

t n

)

void quicksort

(

int data

[],

size

_

t n

) / / * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * / /

SELECTIONSORT IMPLEMENTATION:

/ /

void selectionsort

(

int data

[],

size

_

t n

) / /

Library facilities used: algorithm, cstdlib

/ / * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * / / * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * / /

INSERTION SORT IMPLEMENTATION

/ /

void insertionsort

(

int data

[],

size

_

t n

) / /

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