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Added Heap_sort.java (tornado-12#103)
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Added Heap sort in java.
with detailed explanation
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ShivamChoudhary17 authored Oct 4, 2021
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//Why is heap sort more efficient than selection sort?
//Heapsort is just like selection sort, but with a better way to get the largest element.
//Instead of scanning all the items to find the max, it pulls it from a heap.
//Heaps have properties that allow heapsort to work in-place, without additional memory.
//Creating the heap is O(N lg N).




// Java program for implementation of Heap Sort
public class HeapSort {
public void sort(int arr[])
{
int n = arr.length;

// Build heap (rearrange array)
for (int i = n / 2 - 1; i >= 0; i--)
heapify(arr, n, i);

// One by one extract an element from heap
for (int i = n - 1; i > 0; i--) {
// Move current root to end
int temp = arr[0];
arr[0] = arr[i];
arr[i] = temp;

// call max heapify on the reduced heap
heapify(arr, i, 0);
}
}

// To heapify a subtree rooted with node i which is
// an index in arr[]. n is size of heap
void heapify(int arr[], int n, int i)
{
int largest = i; // Initialize largest as root
int l = 2 * i + 1; // left = 2*i + 1
int r = 2 * i + 2; // right = 2*i + 2

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

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

// If largest is not root
if (largest != i) {
int swap = arr[i];
arr[i] = arr[largest];
arr[largest] = swap;

// Recursively heapify the affected sub-tree
heapify(arr, n, largest);
}
}

/* A utility function to print array of size n */
static void printArray(int arr[])
{
int n = arr.length;
for (int i = 0; i < n; ++i)
System.out.print(arr[i] + " ");
System.out.println();
}

// Driver code
public static void main(String args[])
{
int arr[] = { 12, 11, 13, 5, 6, 7 };
int n = arr.length;

HeapSort ob = new HeapSort();
ob.sort(arr);

System.out.println("Sorted array is");
printArray(arr);
}
}

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