include using namespace std; void bubbleSort(int arr[], int n) {     for (int i = 0; i < n - 1; i++) {         for (int j = 0; j < n - i - 1; j++) {             if (arr[j] > arr[j + 1]) {                 int temp = arr[j];                 arr[j] = arr[j + 1];                 arr[j + 1] = temp;             }         }     } } int binarySearch(int arr[], int l, int r, int x, int& comp) {     comp++;     if (r >= l) {         int mid = l + (r - l) / 2;         if (arr[mid] == x) {             return mid;         }         if (arr[mid] > x) {             return binarySearch(arr, l, mid - 1, x, comp);         }         return binarySearch(arr, mid + 1, r, x, comp);     }     return -1; } int main() {     int Num[8192];     srand(time(NULL));     for (int i = 0; i < 8192; i++) {         Num[i] = rand() % 10001;     }         clock_t starting_time = clock();     bubbleSort(Num, 8192);     clock_t ending_time = clock();     clock_t result = ending_time - starting_time;     print_Title();     cout << setprecision(2) << fixed;     cout << "Bubble sort takes " << (double)result/CLOCKS_PER_SEC << " seconds. \n";     cout << "Bubble sort takes " << (double)result << " milliseconds. \n\n";     int x = 71, comparisons = 0;     int index = binarySearch(Num, 0, 8191, x, comparisons);     if (index != -1) {         cout << "Binary search " << x << " takes " << comparisons << " comparisons - found." << endl;     }     else {         cout << "Binary search " << x << " takes " << comparisons << " comparisons - not found." << endl;     }     x = 9997; comparisons = 0;     index = binarySearch(Num, 0, 8191, x, comparisons);     if (index != -1) {         cout << "Binary search " << x << " takes " << comparisons << " comparisons - found." << endl;     }     else {         cout << "Binary search " << x << " takes " << comparisons << " comparisons - not found." << endl;     }     x = 5000; comparisons = 0;     index = binarySearch(Num, 0, 8191, x, comparisons);     if (index != -1) {         cout << "Binary search " << x << " takes " << comparisons << " comparisons - found." << endl;     }     else {         cout << "Binary search " << x << " takes " << comparisons << " comparisons - not found." << endl;     }     x = 2; comparisons = 0;     index = binarySearch(Num, 0, 8191, x, comparisons);     if (index != -1) {         cout << "Binary search " << x << " takes " << comparisons << " comparisons - found." << endl;     }     else {         cout << "Binary search " << x << " takes " << comparisons << " comparisons - not found." << endl;     }     x = 3015; comparisons = 0;     index = binarySearch(Num, 0, 8191, x, comparisons);     if (index != -1) {         cout << "Binary search " << x << " takes " << comparisons << " comparisons - found." << endl;     }     else {         cout << "Binary search " << x << " takes " << comparisons << " comparisons - not found." << endl;     }     return 0; }   implement a selection sort function that measures the time in seconds and milliseconds like how bubble sort was done

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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#include<bits/stdc++.h>
using namespace std;

void bubbleSort(int arr[], int n) {
    for (int i = 0; i < n - 1; i++) {
        for (int j = 0; j < n - i - 1; j++) {
            if (arr[j] > arr[j + 1]) {
                int temp = arr[j];
                arr[j] = arr[j + 1];
                arr[j + 1] = temp;
            }
        }
    }
}
int binarySearch(int arr[], int l, int r, int x, int& comp) {
    comp++;
    if (r >= l) {
        int mid = l + (r - l) / 2;
        if (arr[mid] == x) {
            return mid;
        }
        if (arr[mid] > x) {
            return binarySearch(arr, l, mid - 1, x, comp);
        }
        return binarySearch(arr, mid + 1, r, x, comp);
    }
    return -1;
}
int main() {
    int Num[8192];
    srand(time(NULL));
    for (int i = 0; i < 8192; i++) {
        Num[i] = rand() % 10001;
    }
   
    clock_t starting_time = clock();
    bubbleSort(Num, 8192);
    clock_t ending_time = clock();
    clock_t result = ending_time - starting_time;
    print_Title();
    cout << setprecision(2) << fixed;
    cout << "Bubble sort takes " << (double)result/CLOCKS_PER_SEC << " seconds. \n";
    cout << "Bubble sort takes " << (double)result << " milliseconds. \n\n";

    int x = 71, comparisons = 0;
    int index = binarySearch(Num, 0, 8191, x, comparisons);
    if (index != -1) {
        cout << "Binary search " << x << " takes " << comparisons << " comparisons - found." << endl;
    }
    else {
        cout << "Binary search " << x << " takes " << comparisons << " comparisons - not found." << endl;
    }
    x = 9997; comparisons = 0;
    index = binarySearch(Num, 0, 8191, x, comparisons);
    if (index != -1) {
        cout << "Binary search " << x << " takes " << comparisons << " comparisons - found." << endl;
    }
    else {
        cout << "Binary search " << x << " takes " << comparisons << " comparisons - not found." << endl;
    }
    x = 5000; comparisons = 0;
    index = binarySearch(Num, 0, 8191, x, comparisons);
    if (index != -1) {
        cout << "Binary search " << x << " takes " << comparisons << " comparisons - found." << endl;
    }
    else {
        cout << "Binary search " << x << " takes " << comparisons << " comparisons - not found." << endl;
    }
    x = 2; comparisons = 0;
    index = binarySearch(Num, 0, 8191, x, comparisons);
    if (index != -1) {
        cout << "Binary search " << x << " takes " << comparisons << " comparisons - found." << endl;
    }
    else {
        cout << "Binary search " << x << " takes " << comparisons << " comparisons - not found." << endl;
    }
    x = 3015; comparisons = 0;
    index = binarySearch(Num, 0, 8191, x, comparisons);
    if (index != -1) {
        cout << "Binary search " << x << " takes " << comparisons << " comparisons - found." << endl;
    }
    else {
        cout << "Binary search " << x << " takes " << comparisons << " comparisons - not found." << endl;
    }
    return 0;
}
 
implement a selection sort function that measures the time in seconds and milliseconds like how bubble sort was done. 
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