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July 17, 2020 19:40
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Full Solution to Merge K Sorted Linked Lists in C# with MinHeap<T> and ListNode implementation
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/* | |
Full solution to Merge K Sorted Lists with custom MinHeap<T> and ListNode classes implemented. | |
*/ | |
using System; | |
using System.Collections; | |
using System.Collections.Generic; | |
class Solution | |
{ | |
static void Main(string[] args) | |
{ | |
ListNode l1 = new ListNode(2); | |
l1.Next = new ListNode(6); | |
l1.Next.Next = new ListNode(8); | |
ListNode l2 = new ListNode(3); | |
l2.Next = new ListNode(6); | |
l2.Next.Next = new ListNode(7); | |
ListNode l3 = new ListNode(1); | |
l3.Next = new ListNode(3); | |
l3.Next.Next = new ListNode(4); | |
ListNode[] example = new ListNode[] {l1, l2, l3 }; | |
ListNode result = MergeLinkedLists(example); | |
Console.WriteLine("Here are the elements from the merged list: "); | |
while (result != null) | |
{ | |
Console.WriteLine(result.Value + " "); | |
result = result.Next; | |
} | |
} | |
public static ListNode MergeLinkedLists(ListNode[] lists) | |
{ | |
MinHeap<ListNode> nodeHeap = new MinHeap<ListNode>(); | |
// put the root of each list in the min heap | |
foreach (ListNode root in lists) | |
{ | |
if (root != null) | |
{ | |
nodeHeap.Push(root); | |
} | |
} | |
// take the smallest (top) element from the min-heap and add it to the result; | |
// if the top element has a next element add it to the heap | |
ListNode resultHead = null; | |
ListNode resultTail = null; | |
while (!nodeHeap.IsEmpty()) | |
{ | |
ListNode node = nodeHeap.Pop(); | |
if (resultHead == null) | |
{ | |
resultHead = resultTail = node; | |
} | |
else | |
{ | |
resultTail.Next = node; | |
resultTail = resultTail.Next; | |
} | |
if (node.Next != null) | |
{ | |
nodeHeap.Push(node.Next); | |
} | |
} | |
return resultHead; | |
} | |
public class ListNode : IComparable<ListNode> | |
{ | |
public int Value; | |
public ListNode Next; | |
public ListNode(int val) | |
{ | |
Value = val; | |
} | |
public int CompareTo(ListNode otherNode) | |
{ | |
if (otherNode == null) | |
{ | |
return 1; | |
} | |
if (otherNode.Value != null) | |
{ | |
return this.Value.CompareTo(otherNode.Value); | |
} | |
else | |
{ | |
throw new ArgumentException("Object is not a ListNode"); | |
} | |
} | |
} | |
public class MinHeap<T> where T: System.IComparable<T> | |
{ | |
public List<T> heapList {get; set;} | |
public int Count {get => heapList.Count;} | |
private int GetLeftChildIndex(int elementIndex) => 2 * elementIndex + 1; | |
private int GetRightChildIndex(int elementIndex) => 2 * elementIndex + 2; | |
private int GetParentIndex(int elementIndex) => (elementIndex - 1) / 2; | |
private bool HasLeftChild(int elementIndex) => GetLeftChildIndex(elementIndex) < Count; | |
private bool HasRightChild(int elementIndex) => GetRightChildIndex(elementIndex) < Count; | |
private bool IsRoot(int elementIndex) => elementIndex == 0; | |
private T GetLeftChild(int elementIndex) => heapList[GetLeftChildIndex(elementIndex)]; | |
private T GetRightChild(int elementIndex) => heapList[GetRightChildIndex(elementIndex)]; | |
private T GetParent(int elementIndex) => heapList[GetParentIndex(elementIndex)]; | |
public MinHeap() | |
{ | |
heapList = new List<T>(); | |
} | |
public void PrintHeap() | |
{ | |
foreach (T item in heapList) | |
{ | |
Console.WriteLine(item.ToString()); | |
} | |
} | |
public void Push (T item) | |
{ | |
heapList.Add(item); | |
BubbleUp(Count - 1); | |
} | |
public T Pop () | |
{ | |
if (Count == 0) | |
{ | |
throw new IndexOutOfRangeException(); | |
} | |
// store copy to return at the end of the method | |
T firstItemCopy = heapList[0]; | |
// move last item to first position | |
heapList[0] = heapList[Count - 1]; | |
// remove the last thing off the list because it's redundant (it's now at the top of the heap) | |
heapList.RemoveAt(Count - 1); | |
FilterDown(0); | |
return firstItemCopy; | |
} | |
public T Peek() | |
{ | |
if (Count == 0) | |
{ | |
throw new IndexOutOfRangeException(); | |
} | |
return heapList[0]; | |
} | |
public bool IsEmpty() | |
{ | |
return Count == 0; | |
} | |
void Swap (int firstIndex, int secondIndex) | |
{ | |
T temp = heapList[firstIndex]; | |
heapList[firstIndex] = heapList[secondIndex]; | |
heapList[secondIndex] = temp; | |
} | |
void BubbleUp (int index) | |
{ | |
while (!IsRoot(index) && heapList[index].CompareTo(GetParent(index)) < 0) | |
{ | |
int parentIndex = GetParentIndex(index); | |
Swap(parentIndex, index); | |
index = parentIndex; | |
} | |
} | |
void FilterDown (int index) | |
{ | |
// set currentIndex | |
int currentIndex = index; | |
// while loop: check if index has a left child | |
while (HasLeftChild(currentIndex)) | |
{ | |
// if it does, establish a smaller index | |
int smallerIndex = GetLeftChildIndex(currentIndex); | |
// check and see which of the left or right child has a smaller value | |
// allocate the smaller value child as the smaller index | |
if (HasRightChild(currentIndex) && GetRightChild(currentIndex).CompareTo(GetLeftChild(currentIndex)) < 0) | |
{ | |
smallerIndex = GetRightChildIndex(currentIndex); | |
} | |
// if the element at smallerindex is bigger than the element at current index, then break | |
if (heapList[smallerIndex].CompareTo(heapList[currentIndex]) >= 0) | |
{ | |
break; | |
} | |
// otherwise, swap element[currentindex] with element[smallerindex] | |
Swap(smallerIndex, currentIndex); | |
// set index to smallerIndex | |
currentIndex = smallerIndex; | |
// while loop will break when the index no longer has a left child | |
} | |
} | |
} | |
} |
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