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| 1 | +#include <bits/stdc++.h> |
| 2 | + |
| 3 | +using namespace std; |
| 4 | + |
| 5 | +class MinHeap { |
| 6 | +private: |
| 7 | + vector<int> heap; |
| 8 | + |
| 9 | +public: |
| 10 | + void heapify(const vector<int> &nums) { |
| 11 | + heap.push_back(0); |
| 12 | + for (const int &num : nums) |
| 13 | + insert(num); |
| 14 | + } |
| 15 | + |
| 16 | + MinHeap() { heap.push_back(0); } |
| 17 | + MinHeap(const vector<int> &nums) { heapify(nums); } |
| 18 | + |
| 19 | + void insert(int num) { |
| 20 | + heap.push_back(num); |
| 21 | + int i = heap.size() - 1; |
| 22 | + while (i > 1 && heap[i] < heap[i >> 1]) { |
| 23 | + swap(heap[i], heap[i >> 1]); |
| 24 | + i >>= 1; |
| 25 | + } |
| 26 | + } |
| 27 | + |
| 28 | + void remove() { |
| 29 | + heap[1] = heap[heap.size() - 1]; |
| 30 | + heap.pop_back(); |
| 31 | + int i = 1; |
| 32 | + while (i < heap.size()) { |
| 33 | + int left = i << 1, right = (i << 1) + 1, smallest = i; |
| 34 | + if (left < heap.size() && heap[left] < heap[smallest]) |
| 35 | + smallest = left; |
| 36 | + if (right < heap.size() && heap[right] < heap[smallest]) |
| 37 | + smallest = right; |
| 38 | + if (smallest == i) |
| 39 | + break; |
| 40 | + swap(heap[i], heap[smallest]); |
| 41 | + i = smallest; |
| 42 | + } |
| 43 | + } |
| 44 | + |
| 45 | + int top() { return heap[1]; } |
| 46 | + |
| 47 | + int size() { return heap.size() - 1; } |
| 48 | + |
| 49 | + bool empty() { return heap.size() == 1; } |
| 50 | + |
| 51 | + void replace(int num) { |
| 52 | + heap[1] = num; |
| 53 | + int i = 1; |
| 54 | + while (i < heap.size()) { |
| 55 | + int left = i << 1, right = (i << 1) + 1, smallest = i; |
| 56 | + if (left < heap.size() && heap[left] < heap[smallest]) |
| 57 | + smallest = left; |
| 58 | + if (right < heap.size() && heap[right] < heap[smallest]) |
| 59 | + smallest = right; |
| 60 | + if (smallest == i) |
| 61 | + break; |
| 62 | + swap(heap[i], heap[smallest]); |
| 63 | + i = smallest; |
| 64 | + } |
| 65 | + } |
| 66 | +}; |
| 67 | + |
| 68 | +class MaxHeap { |
| 69 | +private: |
| 70 | + vector<int> heap; |
| 71 | + |
| 72 | +public: |
| 73 | + void heapify(const vector<int> &nums) { |
| 74 | + heap.push_back(0); |
| 75 | + for (const int &num : nums) |
| 76 | + insert(num); |
| 77 | + } |
| 78 | + |
| 79 | + MaxHeap() { heap.push_back(0); } |
| 80 | + MaxHeap(const vector<int> &nums) { heapify(nums); } |
| 81 | + |
| 82 | + void insert(int num) { |
| 83 | + heap.push_back(num); |
| 84 | + int i = heap.size() - 1; |
| 85 | + while (i > 1 && heap[i] > heap[i >> 1]) { |
| 86 | + swap(heap[i], heap[i >> 1]); |
| 87 | + i >>= 1; |
| 88 | + } |
| 89 | + } |
| 90 | + |
| 91 | + void remove() { |
| 92 | + heap[1] = heap[heap.size() - 1]; |
| 93 | + heap.pop_back(); |
| 94 | + int i = 1; |
| 95 | + while (i < heap.size()) { |
| 96 | + int left = i << 1, right = (i << 1) + 1, largest = i; |
| 97 | + if (left < heap.size() && heap[left] > heap[largest]) |
| 98 | + largest = left; |
| 99 | + if (right < heap.size() && heap[right] > heap[largest]) |
| 100 | + largest = right; |
| 101 | + if (largest == i) |
| 102 | + break; |
| 103 | + swap(heap[i], heap[largest]); |
| 104 | + i = largest; |
| 105 | + } |
| 106 | + } |
| 107 | + |
| 108 | + int top() { return heap[1]; } |
| 109 | + |
| 110 | + int size() { return heap.size() - 1; } |
| 111 | + |
| 112 | + bool empty() { return heap.size() == 1; } |
| 113 | + |
| 114 | + void replace(int num) { |
| 115 | + heap[1] = num; |
| 116 | + int i = 1; |
| 117 | + while (i < heap.size()) { |
| 118 | + int left = i << 1, right = (i << 1) + 1, largest = i; |
| 119 | + if (left < heap.size() && heap[left] > heap[largest]) |
| 120 | + largest = left; |
| 121 | + if (right < heap.size() && heap[right] > heap[largest]) |
| 122 | + largest = right; |
| 123 | + if (largest == i) |
| 124 | + break; |
| 125 | + swap(heap[i], heap[largest]); |
| 126 | + i = largest; |
| 127 | + } |
| 128 | + } |
| 129 | +}; |
| 130 | + |
| 131 | +int main() { |
| 132 | + MaxHeap heap; |
| 133 | + heap.insert(3); |
| 134 | + heap.insert(2); |
| 135 | + heap.insert(1); |
| 136 | + |
| 137 | + while (!heap.empty()) { |
| 138 | + cout << heap.top() << endl; |
| 139 | + heap.remove(); |
| 140 | + } |
| 141 | +} |
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