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62 changes: 62 additions & 0 deletions C++/heap sort.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,62 @@
#include <iostream>
using namespace std;

void heapify(int arr[], int n, int i) {
int largest = i; // Initialize largest as root
int left = 2*i + 1; // Left child
int right = 2*i + 2; // Right child

// If left child is larger than root
if (left < n && arr[left] > arr[largest])
largest = left;

// If right child is larger than largest so far
if (right < n && arr[right] > arr[largest])
largest = right;

// If largest is not root
if (largest != i) {
swap(arr[i], arr[largest]); // Swap the elements
heapify(arr, n, largest); // Recursively heapify the affected subtree
}
}

void buildHeap(int arr[], int n) {
// Build max heap (rearrange array)
for (int i = n / 2 - 1; i >= 0; i--)
heapify(arr, n, i);
}

void heapSort(int arr[], int n) {
buildHeap(arr, n); // Build a max heap

// One by one extract an element from heap
for (int i = n - 1; i > 0; i--) {
swap(arr[0], arr[i]); // Move current root to end
heapify(arr, i, 0); // call max heapify on the reduced heap
}
}

int main() {
int arr1[] = {4, 1, 3, 9, 7};
int n1 = sizeof(arr1)/sizeof(arr1[0]);

heapSort(arr1, n1);

cout << "Sorted array: ";
for (int i = 0; i < n1; i++)
cout << arr1[i] << " ";
cout << endl;

int arr2[] = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
int n2 = sizeof(arr2)/sizeof(arr2[0]);

heapSort(arr2, n2);

cout << "Sorted array: ";
for (int i = 0; i < n2; i++)
cout << arr2[i] << " ";
cout << endl;

return 0;
}
114 changes: 114 additions & 0 deletions C++/quick sort.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,114 @@
//C++ Implementation of the Quick Sort Algorithm.
#include <iostream>

using namespace std;


int partition(int arr[], int start, int end)
{


int pivot = arr[start];


int count = 0;

for (int i = start + 1; i <= end; i++) {

if (arr[i] <= pivot)

count++;

}


// Giving pivot element its correct position

int pivotIndex = start + count;

swap(arr[pivotIndex], arr[start]);


// Sorting left and right parts of the pivot element

int i = start, j = end;


while (i < pivotIndex && j > pivotIndex) {


while (arr[i] <= pivot) {

i++;

}


while (arr[j] > pivot) {

j--;

}


if (i < pivotIndex && j > pivotIndex) {

swap(arr[i++], arr[j--]);

}

}


return pivotIndex;
}


void quickSort(int arr[], int start, int end)
{


// base case

if (start >= end)

return;


// partitioning the array

int p = partition(arr, start, end);


// Sorting the left part

quickSort(arr, start, p - 1);


// Sorting the right part

quickSort(arr, p + 1, end);
}


int main()
{


int arr[] = { 9, 3, 4, 2, 1, 8 };

int n = 6;


quickSort(arr, 0, n - 1);


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

cout << arr[i] << " ";

}


return 0;
}