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#include <iostream>
#include <cstdlib>
#include <ctime>
#include <algorithm>
using namespace std;
// ============================================================
// 1. БЫСТРАЯ СОРТИРОВКА (Quick Sort)
// ============================================================
int partition(int arr[], int low, int high) {
int pivot = arr[high];
int i = low - 1;
for (int j = low; j < high; j++) {
if (arr[j] <= pivot) {
i++;
swap(arr[i], arr[j]);
}
}
swap(arr[i + 1], arr[high]);
return i + 1;
}
void quickSort(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);
}
}
// ============================================================
// 2. СОРТИРОВКА СЛИЯНИЯМИ (Merge Sort)
// ============================================================
void merge(int arr[], int left, int mid, int right) {
int n1 = mid - left + 1;
int n2 = right - mid;
int* L = new int[n1];
int* R = new int[n2];
for (int i = 0; i < n1; i++) L[i] = arr[left + i];
for (int j = 0; j < n2; j++) R[j] = arr[mid + 1 + j];
int i = 0, j = 0, k = left;
while (i < n1 && j < n2) {
if (L[i] <= R[j]) { arr[k] = L[i]; i++; }
else { arr[k] = R[j]; j++; }
k++;
}
while (i < n1) { arr[k] = L[i]; i++; k++; }
while (j < n2) { arr[k] = R[j]; j++; k++; }
delete[] L;
delete[] R;
}
void mergeSort(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);
}
}
// ============================================================
// 3. ПИРАМИДАЛЬНАЯ СОРТИРОВКА (Heap Sort)
// ============================================================
void heapify(int arr[], int n, int i) {
int largest = i;
int left = 2 * i + 1;
int right = 2 * i + 2;
if (left < n && arr[left] > arr[largest]) largest = left;
if (right < n && arr[right] > arr[largest]) largest = right;
if (largest != i) {
swap(arr[i], arr[largest]);
heapify(arr, n, largest);
}
}
void heapSort(int arr[], int n) {
for (int i = n / 2 - 1; i >= 0; i--)
heapify(arr, n, i);
for (int i = n - 1; i > 0; i--) {
swap(arr[0], arr[i]);
heapify(arr, i, 0);
}
}
// ============================================================
// КОПИРОВАНИЕ МАССИВА
// ============================================================
void coppy(int from[], int to[], int n) {
for (int i = 0; i < n; i++) to[i] = from[i];
}
// ============================================================
// ВЫВОД МАССИВА
// ============================================================
void vivodd(int arr[], int n) {
for (int i = 0; i < n; i++) cout << arr[i] << " ";
cout << endl;
}
// ============================================================
// ГЛАВНАЯ ФУНКЦИЯ
// ============================================================
int main() {
setlocale(LC_ALL, "Russian");
srand(time(0));
int n;
cout << "Введите размер массива: ";
cin >> n;
int* original = new int[n];
int* temp = new int[n];
for (int i = 0; i < n; i++) original[i] = rand() % 100;
cout << "\nИсходный массив:\n ";
vivodd(original, n);
// 1. Быстрая
coppy(original, temp, n);
quickSort(temp, 0, n - 1);
cout << "\n1. Быстрая сортировка:\n ";
vivodd(temp, n);
// 2. Слияниями
coppy(original, temp, n);
mergeSort(temp, 0, n - 1);
cout << "\n2. Сортировка слияниями:\n ";
vivodd(temp, n);
// 3. Пирамидальная
coppy(original, temp, n);
heapSort(temp, n);
cout << "\n3. Пирамидальная сортировка:\n ";
vivodd(temp, n);
delete[] original;
delete[] temp;
return 0;
}