sorting algorithm (tsz. sorting algorithms)
Here’s a C++ program implementing six different sorting algorithms:
This program lets the user choose a sorting algorithm and sorts an array accordingly.
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
// Bubble Sort
void bubbleSort(vector<int>& arr) {
int n = arr.size();
for (int i = 0; i < n - 1; i++) {
for (int j = 0; j < n - i - 1; j++) {
if (arr > arr) {
swap(arr, arr);
}
}
}
}
// Selection Sort
void selectionSort(vector<int>& arr) {
int n = arr.size();
for (int i = 0; i < n - 1; i++) {
int minIndex = i;
for (int j = i + 1; j < n; j++) {
if (arr < arr) {
minIndex = j;
}
}
swap(arr, arr);
}
}
// Insertion Sort
void insertionSort(vector<int>& arr) {
int n = arr.size();
for (int i = 1; i < n; i++) {
int key = arr;
int j = i - 1;
while (j >= 0 && arr > key) {
arr = arr;
j--;
}
arr = key;
}
}
// Merge Sort (Helper function)
void merge(vector<int>& arr, int left, int mid, int right) {
int n1 = mid - left + 1, n2 = right - mid;
vector<int> L(n1), R(n2);
for (int i = 0; i < n1; i++) L = arr;
for (int i = 0; i < n2; i++) R = arr;
int i = 0, j = 0, k = left;
while (i < n1 && j < n2) arr = (L <= R) ? L : R;
while (i < n1) arr = L;
while (j < n2) arr = R;
}
// Merge Sort
void mergeSort(vector<int>& arr, int left, int right) {
if (left < right) {
int mid = left + (right - left) / 2;
mergeSort(arr, left, mid);
mergeSort(arr, mid + 1, right);
merge(arr, left, mid, right);
}
}
// Quick Sort (Helper function)
int partition(vector<int>& arr, int low, int high) {
int pivot = arr, i = low - 1;
for (int j = low; j < high; j++) {
if (arr < pivot) swap(arr, arr);
}
swap(arr, arr);
return i + 1;
}
// Quick Sort
void quickSort(vector<int>& arr, int low, int high) {
if (low < high) {
int pi = partition(arr, low, high);
quickSort(arr, low, pi - 1);
quickSort(arr, pi + 1, high);
}
}
// Heap Sort (Helper function)
void heapify(vector<int>& arr, int n, int i) {
int largest = i, left = 2 * i + 1, right = 2 * i + 2;
if (left < n && arr > arr) largest = left;
if (right < n && arr > arr) largest = right;
if (largest != i) {
swap(arr, arr);
heapify(arr, n, largest);
}
}
// Heap Sort
void heapSort(vector<int>& arr) {
int n = arr.size();
for (int i = n / 2 - 1; i >= 0; i--) heapify(arr, n, i);
for (int i = n - 1; i > 0; i--) {
swap(arr, arr);
heapify(arr, i, 0);
}
}
// Function to print the array
void printArray(const vector<int>& arr) {
for (int num : arr) cout << num << " ";
cout << endl;
}
int main() {
vector<int> arr = {64, 25, 12, 22, 11, 90, 34, 56};
int choice;
cout << "Choose a sorting algorithm:\n";
cout << "1. Bubble Sort\n2. Selection Sort\n3. Insertion Sort\n";
cout << "4. Merge Sort\n5. Quick Sort\n6. Heap Sort\n";
cout << "Enter your choice: ";
cin >> choice;
switch (choice) {
case 1: bubbleSort(arr); break;
case 2: selectionSort(arr); break;
case 3: insertionSort(arr); break;
case 4: mergeSort(arr, 0, arr.size() - 1); break;
case 5: quickSort(arr, 0, arr.size() - 1); break;
case 6: heapSort(arr); break;
default: cout << "Invalid choice!\n"; return 1;
}
cout << "Sorted array: ";
printArray(arr);
return 0;
}
Algorithm | Best Case | Average Case | Worst Case |
---|---|---|---|
Bubble Sort | O(n) | O(n²) | O(n²) |
Selection Sort | O(n²) | O(n²) | O(n²) |
Insertion Sort | O(n) | O(n²) | O(n²) |
Merge Sort | O(n log n) | O(n log n) | O(n log n) |
Quick Sort | O(n log n) | O(n log n) | O(n²) (worst case) |
Heap Sort | O(n log n) | O(n log n) | O(n log n) |