Create an integer variable named ‘listsize’ and initialize the value to 1000.

2. open an output file named ‘groupassignment4results. csv’. the first line of this file should be the column headings: ‘list size’, ‘selection sort data swap time’, ‘selection sort node swap time’, ’insertion sort node swap time’, ‘quick sort node swap time’.

3. using the rand () function, fill 4 doubly linked list of integers with the number of variables corresponding to the ‘listsize’ variable. the list should be created using the push operator. the values generated by rand () should be numbers from 1-500,000. the list should be named; selectionlistdata, selectionlistnode, insertionlistnode, and quicklistnode.

The code is given in C++. The variable name is arraySize. It should be replaced with listSize

Explanation:

// header file

#include<iostream>

#include<fstream>

#include<cstdlib>

#include<chrono>

using namespace std;

using namespace std::chrono;

// bubble sort algorithm

void bubbleSort(int *a, int size) {

for (int i = 0; i<size - 1; i++) {

for (int j = 0; j<size - i - 1; j++) {

if (a[j]>a[j + 1]) {

//swap

int temp = a[j];

a[j] = a[j + 1];

a[j + 1] = temp;

}

}

}

}

// selection sort

void selectionSort(int *a, int size) {

for (int i = 0; i<size - 1; i++) {

int m_i = i;

for (int j = i + 1; j<size; j++) {

if (a[j]<a[m_i]) {

m_i = j;

}

}

//swap

int temp = a[i];

a[i] = a[m_i];

a[m_i] = a[i];

}

}

// insertion sort

void insertionSort(int *a, int size) {

for (int i = 1; i<size; ++i) {

int key = a[i];

int j=i-1;

for (; (j >= 0 && key < a[j]); j--) {

a[j + 1] = a[j];

}

a[j + 1] = key;

}

}

// make partition on array

int getPartition(int *a, int l, int h) {

int pvt = a[h];

int i = (l - 1);

for (int j = l; j <= h - 1; j++) {

if (a[j]<pvt) {

i++;

//swap

int tmp = a[i];

a[i] = a[j];

a[j] = tmp;

}

}

//swap

int tmp = a[i + 1];

a[i + 1] = a[h];

a[h] = tmp;

return(i + 1);

}

// quick sort

void quickSort(int *a, int l, int h) {

if (l<h) {

int p = getPartition(a, l, h);

quickSort(a, l, p - 1);

quickSort(a, p + 1, h);

}

}

// merge array

void merge(int *a, int l, int m, int r) {

int n1 = m - l + 1;

int n2 = r - m;

int *L = new int[n1];

int *R = new int[n2];

for (int i = 0; i<n1; i++) {

L[i] = a[i + l];

}

for (int j = 0; j<n2; j++) {

R[j] = a[m + j + 1];

}

int i = 0, j = 0, k = 1;

while (i<n1 && j<n2) {

if (L[i] <= R[j]) {

a[k] = L[i];

i++;

}

else {

a[k] = R[j];

j++;

}

k++;

}

while (i<n1) {

a[k] = L[i];

i++;

k++;

}

while (j<n2) {

a[k] = R[j];

j++;

k++;

}

}

// merge sort

void mergeSort(int *a, int l, int r) {

if (l<r) {

int m = l + (r - l) / 2;

mergeSort(a, l, m);

mergeSort(a, m + 1, r);

merge(a, l, m, r);

}

}

int* randomData(int size) {

int *ar = new int[size];

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

ar[i] = rand();

}

return(ar);

}

void copyAry(int *a, int *b, int size) {

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

a[i] = b[i];

}

}

int main() {

int arraySize = 1000;

int *arrLst = new int[arraySize];

int *arLst = new int[arraySize];

arrLst = randomData(arraySize);

//copy array

// because after sorting arry will be sorted

copyAry(arLst, arrLst, arraySize);

auto start1 = high_resolution_clock::now();

bubbleSort(arLst, arraySize);

auto end1 = high_resolution_clock::now();

auto duration1 = duration_cast<microseconds>(end1 - start1);

cout << duration1.count()<<endl;

// copy array for new sort

copyAry(arLst, arrLst, arraySize);

auto start2 = high_resolution_clock::now();

selectionSort(arLst, arraySize);

auto end2 = high_resolution_clock::now();

auto duration2 = duration_cast<microseconds>(end2 - start2);

cout << duration2.count() << endl;

// copy array for new sort

copyAry(arLst, arrLst, arraySize);

auto start3 = high_resolution_clock::now();

insertionSort(arLst, arraySize);

auto end3 = high_resolution_clock::now();

auto duration3 = duration_cast<microseconds>(end3 - start3);

cout << duration3.count() << endl;

// copy array for new sort

copyAry(arLst, arrLst, arraySize);

auto start4 = high_resolution_clock::now();

mergeSort(arLst, 0,arraySize-1);

auto end4 = high_resolution_clock::now();

auto duration4 = duration_cast<microseconds>(end4 - start4);

cout << duration4.count() << endl;

// copy array for new sort

copyAry(arLst, arrLst, arraySize);

auto start5 = high_resolution_clock::now();

quickSort(arLst, 0,arraySize-1);

auto end5 = high_resolution_clock::now();

auto duration5 = duration_cast<microseconds>(end5 - start5);

cout << duration5.count() << endl;

ofstream out("GroupAssignment2Results.csv");

out << "Array Size,Bubble Sort Time,Selection Sort Time,Insertion Sort Time,Quick Sort Time,Merge Sort Time\n";

out << arraySize << "," << duration1.count() << "," << duration2.count() << "," << duration3.count() << "," << duration5.count() << "," << duration4.count();

cout << "\nOutput in File.";

out.close();

cin.get();

return(0);

}

1. the seasons of the world