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| 1 | +#include <iostream> |
| 2 | +using namespace std; |
| 3 | + |
| 4 | +// Swap function to interchange |
| 5 | +int swap(int& x, int& y) |
| 6 | +{ |
| 7 | + int temp = x; |
| 8 | + x = y; |
| 9 | + y = temp; |
| 10 | +} |
| 11 | + |
| 12 | +// Min Heap Class |
| 13 | +class MinHeap { |
| 14 | + |
| 15 | + int size; |
| 16 | + int* arr; |
| 17 | + |
| 18 | +public: |
| 19 | + // Constructor to initialize the size and arr |
| 20 | + MinHeap(int size, int input[]); |
| 21 | + |
| 22 | + // heap property for i. |
| 23 | + void heapify(int i); |
| 24 | + |
| 25 | + // Build the min heap |
| 26 | + void buildHeap(); |
| 27 | +}; |
| 28 | + |
| 29 | + |
| 30 | +MinHeap::MinHeap(int size, int input[]) |
| 31 | +{ |
| 32 | + // Initializing arr and size |
| 33 | + this->size = size; |
| 34 | + this->arr = input; |
| 35 | + |
| 36 | + // Building the Min Heap |
| 37 | + buildHeap(); |
| 38 | +} |
| 39 | + |
| 40 | +void MinHeap::heapify(int i) |
| 41 | +{ |
| 42 | + //Case 1:Leaf Node |
| 43 | + if (i >= size / 2) |
| 44 | + return; |
| 45 | + |
| 46 | + // variable to store the smallest element |
| 47 | + int smallest; |
| 48 | + |
| 49 | + // Index of left node |
| 50 | + int left = 2 * i + 1; |
| 51 | + |
| 52 | + // Index of right node |
| 53 | + int right = 2 * i + 2; |
| 54 | + |
| 55 | + |
| 56 | + // Compare left node with current i node |
| 57 | + smallest = arr[left] < arr[i] ? left : i; |
| 58 | + |
| 59 | + // Compare right node with smallest node |
| 60 | + if (right < size) |
| 61 | + smallest = arr[right] < arr[smallest] |
| 62 | + ? right : smallest; |
| 63 | + |
| 64 | + // If Node i violates the min heap property, swap current node i with smallest to fix the min-heap property and recursively call heapify for node smallest. |
| 65 | + if (smallest != i) { |
| 66 | + swap(arr[i], arr[smallest]); |
| 67 | + heapify(smallest); |
| 68 | + } |
| 69 | +} |
| 70 | + |
| 71 | +// Build Min Heap |
| 72 | +void MinHeap::buildHeap() |
| 73 | +{ |
| 74 | + // Calling Heapify for all non leaf nodes |
| 75 | + for (int i = size / 2 - 1; i >= 0; i--) { |
| 76 | + heapify(i); |
| 77 | + } |
| 78 | +} |
| 79 | + |
| 80 | +void MaxKelements(int arr[],int size,int k){ |
| 81 | + // Creating Min Heap for first K elements |
| 82 | + MinHeap* m = new MinHeap(k, arr); |
| 83 | + |
| 84 | + // Loop For each element in array after the kth element |
| 85 | + for (int i = k; i < size; i++) { |
| 86 | + |
| 87 | + if (arr[0] > arr[i]) |
| 88 | + continue; |
| 89 | + else { |
| 90 | + arr[0] = arr[i]; |
| 91 | + m->heapify(0); |
| 92 | + } |
| 93 | + } |
| 94 | + //Iterate and print K large elements |
| 95 | + for (int i = 0; i < k; i++) { |
| 96 | + cout << arr[i] << " "; |
| 97 | + } |
| 98 | +} |
| 99 | + |
| 100 | + |
| 101 | +int main() |
| 102 | +{ |
| 103 | + |
| 104 | + int arr[] = { 111, 93, 11, 152, 5, 42, |
| 105 | + 435, 188, 96, 150, 455 }; |
| 106 | + |
| 107 | + int size = sizeof(arr) / sizeof(arr[0]); |
| 108 | + |
| 109 | + // Size of Min Heap |
| 110 | + int k = 3; |
| 111 | + |
| 112 | + MaxKelements(arr,size,k); |
| 113 | + |
| 114 | + return 0; |
| 115 | +} |
| 116 | + |
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