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| 1 | +#include <stdio.h> |
| 2 | +#include <stdlib.h> |
| 3 | + |
| 4 | +#define MAX_HEAP_SIZE 100 |
| 5 | + |
| 6 | +// Structure for the max heap |
| 7 | +typedef struct { |
| 8 | + int items[MAX_HEAP_SIZE]; |
| 9 | + int size; |
| 10 | +} MaxHeap; |
| 11 | + |
| 12 | +// Function to swap two elements in the heap |
| 13 | +void swap(int* a, int* b) { |
| 14 | + int temp = *a; |
| 15 | + *a = *b; |
| 16 | + *b = temp; |
| 17 | +} |
| 18 | + |
| 19 | +// Function to maintain the max heap property after inserting an element |
| 20 | +void heapifyUp(MaxHeap* heap, int index) { |
| 21 | + while (index > 0 && heap->items[(index - 1) / 2] < heap->items[index]) { |
| 22 | + swap(&heap->items[(index - 1) / 2], &heap->items[index]); |
| 23 | + index = (index - 1) / 2; |
| 24 | + } |
| 25 | +} |
| 26 | + |
| 27 | +// Function to maintain the max heap property after removing the root |
| 28 | +void heapifyDown(MaxHeap* heap, int index) { |
| 29 | + int largest = index; |
| 30 | + int leftChild = 2 * index + 1; |
| 31 | + int rightChild = 2 * index + 2; |
| 32 | + |
| 33 | + if (leftChild < heap->size && heap->items[leftChild] > heap->items[largest]) |
| 34 | + largest = leftChild; |
| 35 | + if (rightChild < heap->size && heap->items[rightChild] > heap->items[largest]) |
| 36 | + largest = rightChild; |
| 37 | + |
| 38 | + if (largest != index) { |
| 39 | + swap(&heap->items[index], &heap->items[largest]); |
| 40 | + heapifyDown(heap, largest); |
| 41 | + } |
| 42 | +} |
| 43 | + |
| 44 | +// Function to insert an element into the heap |
| 45 | +void insert(MaxHeap* heap, int value) { |
| 46 | + if (heap->size >= MAX_HEAP_SIZE) { |
| 47 | + printf("Heap is full. Cannot insert.\n"); |
| 48 | + return; |
| 49 | + } |
| 50 | + heap->items[heap->size] = value; |
| 51 | + heap->size++; |
| 52 | + heapifyUp(heap, heap->size - 1); |
| 53 | +} |
| 54 | + |
| 55 | +// Function to delete the root (maximum value) from the heap |
| 56 | +int deleteMax(MaxHeap* heap) { |
| 57 | + if (heap->size == 0) { |
| 58 | + printf("Heap is empty. Cannot delete.\n"); |
| 59 | + return -1; |
| 60 | + } |
| 61 | + int deletedItem = heap->items[0]; |
| 62 | + heap->items[0] = heap->items[heap->size - 1]; |
| 63 | + heap->size--; |
| 64 | + heapifyDown(heap, 0); |
| 65 | + return deletedItem; |
| 66 | +} |
| 67 | + |
| 68 | +// Function to perform heap sort |
| 69 | +void heapSort(int arr[], int n) { |
| 70 | + MaxHeap heap; |
| 71 | + heap.size = 0; |
| 72 | + |
| 73 | + // Inserting elements into the max heap |
| 74 | + for (int i = 0; i < n; i++) { |
| 75 | + insert(&heap, arr[i]); |
| 76 | + } |
| 77 | + |
| 78 | + // Deleting elements from the max heap and storing them in sorted order |
| 79 | + for (int i = n - 1; i >= 0; i--) { |
| 80 | + arr[i] = deleteMax(&heap); |
| 81 | + } |
| 82 | +} |
| 83 | + |
| 84 | +int main() { |
| 85 | + int arr[] = {4, 10, 3, 5, 1}; |
| 86 | + int n = sizeof(arr) / sizeof(arr[0]); |
| 87 | + |
| 88 | + // Performing heap sort |
| 89 | + heapSort(arr, n); |
| 90 | + |
| 91 | + // Displaying sorted array |
| 92 | + printf("Sorted array: "); |
| 93 | + for (int i = 0; i < n; i++) { |
| 94 | + printf("%d ", arr[i]); |
| 95 | + } |
| 96 | + printf("\n"); |
| 97 | + |
| 98 | + return 0; |
| 99 | +} |
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