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| 1 | +/** |
| 2 | + * Algorithm: Heap Sort |
| 3 | + * Description: Implementation of Heap Sort algorithm using binary heap |
| 4 | + * Time Complexity: O(n log n) for all cases |
| 5 | + * Space Complexity: O(1) (in-place) |
| 6 | + */ |
| 7 | +import java.util.Scanner; |
| 8 | +public class HeapSort { |
| 9 | + |
| 10 | + public static int[] arrInput(Scanner sc) { |
| 11 | + System.out.print("Enter the size of the array: "); |
| 12 | + int n = sc.nextInt(); |
| 13 | + int[] arr = new int[n]; |
| 14 | + System.out.println("Enter the elements of the array: "); |
| 15 | + for (int i = 0; i < n; i++) { |
| 16 | + arr[i] = sc.nextInt(); |
| 17 | + } |
| 18 | + return arr; |
| 19 | + } |
| 20 | + |
| 21 | + public static void heapSort(int[] arr) { |
| 22 | + int n = arr.length; |
| 23 | + // Build max heap |
| 24 | + for (int i = n / 2 - 1; i >= 0; i--) { |
| 25 | + heapify(arr, n, i); |
| 26 | + } |
| 27 | + // Extract elements from heap |
| 28 | + for (int i = n - 1; i >= 0; i--) { |
| 29 | + // Swap current root with end |
| 30 | + int temp = arr[0]; |
| 31 | + arr[0] = arr[i]; |
| 32 | + arr[i] = temp; |
| 33 | + // Heapify reduced heap |
| 34 | + heapify(arr, i, 0); |
| 35 | + } |
| 36 | + } |
| 37 | + |
| 38 | + public static void heapify(int[] arr, int n, int i) { |
| 39 | + int largest = i; |
| 40 | + int left = 2 * i + 1; |
| 41 | + int right = 2 * i + 2; |
| 42 | + if (left < n && arr[left] > arr[largest]) { |
| 43 | + largest = left; |
| 44 | + } |
| 45 | + if (right < n && arr[right] > arr[largest]) { |
| 46 | + largest = right; |
| 47 | + } |
| 48 | + if (largest != i) { |
| 49 | + int swap = arr[i]; |
| 50 | + arr[i] = arr[largest]; |
| 51 | + arr[largest] = swap; |
| 52 | + heapify(arr, n, largest); |
| 53 | + } |
| 54 | + } |
| 55 | + |
| 56 | + public static void main(String[] args) { |
| 57 | + Scanner sc = new Scanner(System.in); |
| 58 | + int[] arr = arrInput(sc); |
| 59 | + System.out.print("Array before sorting: "); |
| 60 | + for (int num : arr) { |
| 61 | + System.out.print(num + " "); |
| 62 | + } |
| 63 | + System.out.println(); |
| 64 | + heapSort(arr); |
| 65 | + System.out.print("Array after sorting: "); |
| 66 | + for (int num : arr) { |
| 67 | + System.out.print(num + " "); |
| 68 | + } |
| 69 | + System.out.println(); |
| 70 | + sc.close(); |
| 71 | + } |
| 72 | +} |
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