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| 1 | +#include <iostream> |
| 2 | +#include <cstdio> |
| 3 | +#include <vector> |
| 4 | +#include <iostream> |
| 5 | +#include <climits> |
| 6 | + |
| 7 | +using namespace std; //Not the best tactic, used for cleaner code and better understanding |
| 8 | + |
| 9 | +class Heap { |
| 10 | +private: |
| 11 | +std::vector<int> heap; |
| 12 | +int hpsz; |
| 13 | +public: |
| 14 | + |
| 15 | +Heap(){ |
| 16 | + hpsz=0; //At first the Heap is Empty |
| 17 | + heap.push_back(0); //Index 0 must be initialized because we start indexing from 1 |
| 18 | +} |
| 19 | + |
| 20 | +Heap(std::vector<int>& array){ |
| 21 | + int n = array.size(); |
| 22 | + heap.push_back(100); //The first index of heap array is 1 so we must fill 0 index with dummy content let it be 0 |
| 23 | + heap.insert(heap.end(),array.begin(),array.end()); //προσθέτω το 0 |
| 24 | + hpsz=n; //Heap size = Heap Array size |
| 25 | + for (int i = n / 2; i > 0; i--) combine(i); |
| 26 | +} |
| 27 | + |
| 28 | +void insert(int elmnt) { |
| 29 | + heap.push_back(elmnt); |
| 30 | + hpsz++; |
| 31 | + int i = hpsz, parent = i / 2; |
| 32 | + while ((i > 1) && (heap[parent] < heap[i])) |
| 33 | + { |
| 34 | + iter_swap(heap.begin() + parent, heap.begin() + i); |
| 35 | + i = parent; parent = i / 2; |
| 36 | + } |
| 37 | +} |
| 38 | + |
| 39 | +//Get max without deleting from heap |
| 40 | +int peek_max(){ |
| 41 | + return heap[1]; |
| 42 | +} |
| 43 | + |
| 44 | +void combine (int i){ |
| 45 | + int mp=i,left=2*i,right=(2*i)+1; |
| 46 | + if((left<=hpsz) && (heap[left]>heap[mp])) { |
| 47 | + mp = left; |
| 48 | + } |
| 49 | + if((right<=hpsz) && (heap[right]>heap[mp])) { |
| 50 | + mp = right; |
| 51 | + } |
| 52 | + if(mp!=i) { |
| 53 | + iter_swap(heap.begin() + i, heap.begin() + mp); |
| 54 | + combine(mp); |
| 55 | + } |
| 56 | +} |
| 57 | + |
| 58 | +int deletemax(){ |
| 59 | + if(isEmpty()) return -1; |
| 60 | + int max = heap[1]; |
| 61 | + |
| 62 | + heap[1] = heap[hpsz--]; |
| 63 | + combine(1); |
| 64 | + return max; |
| 65 | +} |
| 66 | + |
| 67 | +bool isEmpty(){ |
| 68 | + return (hpsz==0); |
| 69 | +} |
| 70 | + |
| 71 | +int getHeapSize(){ |
| 72 | + return (hpsz); |
| 73 | +} |
| 74 | + |
| 75 | +void heapSort(){ |
| 76 | + int temp = hpsz; |
| 77 | + for (int i = hpsz; i > 1; i--) { |
| 78 | + iter_swap(heap.begin() + 1, heap.begin() + i); |
| 79 | + hpsz--; |
| 80 | + combine(1); |
| 81 | + } |
| 82 | + hpsz = temp; |
| 83 | +} |
| 84 | + |
| 85 | +void printHeap(){ |
| 86 | + for (int i = 1; i <= hpsz; i++) { |
| 87 | + printf("%d ", heap[i] ); |
| 88 | + } |
| 89 | + printf("\n"); |
| 90 | +} |
| 91 | +}; |
| 92 | + |
| 93 | +int main(){ |
| 94 | + /* |
| 95 | + Heap can be constructed using vector as input |
| 96 | + */ |
| 97 | + int a[] = {3,4,10,8,15,16,17,12,11,20}; |
| 98 | + vector<int> heapin (a, a + sizeof(a) / sizeof(a[0]) ); //C++2003 |
| 99 | + //std::vector<int> heapin ({3,4,10,8,15,16,17,12,11,20}); //C++2011 |
| 100 | + // std::vector<int> heapin(std::begin(a), std::end(a)); //C++2003 |
| 101 | + Heap test(heapin); |
| 102 | + /* |
| 103 | + Heap can be constructed using one by one insertion of elements |
| 104 | + <--------------------------------------------------------------> |
| 105 | + Heap test; |
| 106 | + int num_elements; |
| 107 | + printf("Enter number of elements\n"); |
| 108 | + scanf("%d\n",&num_elements); |
| 109 | + int elem; |
| 110 | +
|
| 111 | + while(num_elements!=0) { |
| 112 | + num_elements--; |
| 113 | + scanf("%dendl",&elem ); |
| 114 | + test.insert(elem); |
| 115 | + } |
| 116 | + */ |
| 117 | + |
| 118 | + test.printHeap(); //Heap array |
| 119 | + test.heapSort(); //after heap sorting the array does not include a list |
| 120 | + test.printHeap(); //Sorted array |
| 121 | + |
| 122 | + /* |
| 123 | + * Use the following loop to extract all the elements from head of max heap |
| 124 | + while (!test.isEmpty()) { |
| 125 | + printf("Max after delete: %d\n", test.deletemax()); |
| 126 | + } |
| 127 | + */ |
| 128 | + |
| 129 | + |
| 130 | + |
| 131 | +} |
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