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July 5, 2023 14:36
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Min Heap and max heap implementation using C#
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public class MinHeap | |
{ | |
public List<int> Heap {get; set;} | |
public int Count {get; set;} | |
public MinHeap() | |
{ | |
Heap = new(); | |
} | |
public MinHeap(int[] nums) | |
{ | |
Heap = new(); | |
foreach(int num in nums) | |
{ | |
Heap.Add(num); | |
Count++; | |
} | |
for(int i = nums.Length - 1; i >= 0; i--) | |
{ | |
Heapify(i); | |
} | |
} | |
private void Heapify(int pos) | |
{ | |
// Check if node and its children are correct heap | |
int leftPos = 2 * pos + 1; | |
int rightPos = 2 * pos + 2; | |
int leftChild = leftPos >= Count ? Int32.MaxValue : Heap[leftPos]; | |
int rightChild = rightPos >= Count ? Int32.MaxValue : Heap[rightPos]; | |
if(leftChild == Int32.MaxValue) | |
{ | |
// If no left child then there is no right child | |
return; | |
} | |
int root = Heap[pos]; | |
if(leftChild <= rightChild && root > leftChild) | |
{ | |
// Swap left and root | |
Swap(leftPos, pos); | |
Heapify(leftPos); | |
} | |
else if(rightChild <= leftChild && root > rightChild) | |
{ | |
// Swap right and root | |
Swap(rightPos, pos); | |
Heapify(rightPos); | |
} | |
} | |
public int PopMin() | |
{ | |
int res = Heap[0]; | |
Heap[0] = Heap[Count-1]; | |
Count--; | |
Heapify(0); | |
return res; | |
} | |
public void Add(int val) | |
{ | |
// Add at end i.e. Count and then heapify up | |
if(Count < Heap.Count) | |
{ | |
Heap[Count] = val; | |
} | |
else | |
{ | |
Heap.Add(val); | |
} | |
Count++; | |
int pos = Count - 1; | |
int parentPos = (int)Math.Floor((double)(pos - 1) / 2); | |
while(pos > 0) | |
{ | |
if(Heap[pos] >= Heap[parentPos]) | |
{ | |
break; | |
} | |
Swap(pos, parentPos); | |
pos = parentPos; | |
parentPos = (int)Math.Floor((double)(pos - 1) / 2); | |
} | |
} | |
public int Peek() | |
{ | |
return Heap[0]; | |
} | |
private void Swap(int first, int second) | |
{ | |
int tmp = Heap[first]; | |
Heap[first] = Heap[second]; | |
Heap[second] = tmp; | |
} | |
} | |
public class MaxHeap | |
{ | |
public List<int> Heap {get; set;} | |
public int Count {get; set;} | |
public MaxHeap(int[] nums) | |
{ | |
Heap = new(); | |
foreach(int num in nums) | |
{ | |
Heap.Add(num); | |
Count++; | |
} | |
for(int i = nums.Length; i>=0; i--) | |
{ | |
Heapify(i); | |
} | |
} | |
private void Heapify(int pos) | |
{ | |
int leftPos = 2 * pos + 1; | |
int rightPos = 2 * pos + 2; | |
while(leftPos < Count || rightPos < Count) | |
{ | |
int leftChild = leftPos < Count ? Heap[leftPos] : Int32.MinValue; | |
int rightChild = rightPos < Count ? Heap[rightPos] : Int32.MinValue; | |
int root = Heap[pos]; | |
if(leftChild >= rightChild && root < leftChild) | |
{ | |
Swap(leftPos, pos); | |
pos = leftPos; | |
} | |
else if(rightChild >= leftChild && root < rightChild) | |
{ | |
Swap(rightPos, pos); | |
pos = rightPos; | |
} | |
else | |
{ | |
break; | |
} | |
leftPos = 2 * pos + 1; | |
rightPos = 2 * pos + 2; | |
} | |
} | |
public void Add(int val) | |
{ | |
if(Count < Heap.Count) | |
{ | |
Heap[Count] = val; | |
} | |
else | |
{ | |
Heap.Add(val); | |
} | |
Count++; | |
int pos = Count - 1; | |
while(pos > 0) | |
{ | |
int parentPos = (pos - 1) / 2; | |
if(Heap[pos] > Heap[parentPos]) | |
{ | |
Swap(pos, parentPos); | |
pos = parentPos; | |
} | |
else | |
{ | |
break; | |
} | |
} | |
} | |
public int PopMax() | |
{ | |
int res = Heap[0]; | |
Heap[0] = Heap[Count-1]; | |
Count--; | |
Heapify(0); | |
return res; | |
} | |
public int Peek() | |
{ | |
return Heap[0]; | |
} | |
private void Swap(int first, int second) | |
{ | |
int tmp = Heap[first]; | |
Heap[first] = Heap[second]; | |
Heap[second] = tmp; | |
} | |
} |
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