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Added Heap_sort.java (tornado-12#103)
Added Heap sort in java. with detailed explanation
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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). | ||
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// Java program for implementation of Heap Sort | ||
public class HeapSort { | ||
public void sort(int arr[]) | ||
{ | ||
int n = arr.length; | ||
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// Build heap (rearrange array) | ||
for (int i = n / 2 - 1; i >= 0; i--) | ||
heapify(arr, n, i); | ||
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// 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; | ||
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// call max heapify on the reduced heap | ||
heapify(arr, i, 0); | ||
} | ||
} | ||
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// 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 | ||
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// If left child is larger than root | ||
if (l < n && arr[l] > arr[largest]) | ||
largest = l; | ||
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// If right child is larger than largest so far | ||
if (r < n && arr[r] > arr[largest]) | ||
largest = r; | ||
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// If largest is not root | ||
if (largest != i) { | ||
int swap = arr[i]; | ||
arr[i] = arr[largest]; | ||
arr[largest] = swap; | ||
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// Recursively heapify the affected sub-tree | ||
heapify(arr, n, largest); | ||
} | ||
} | ||
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/* 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(); | ||
} | ||
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// Driver code | ||
public static void main(String args[]) | ||
{ | ||
int arr[] = { 12, 11, 13, 5, 6, 7 }; | ||
int n = arr.length; | ||
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HeapSort ob = new HeapSort(); | ||
ob.sort(arr); | ||
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System.out.println("Sorted array is"); | ||
printArray(arr); | ||
} | ||
} |