private void RemoveRoot(Node root, Node prev_root)
{
if (root == head)
{
head = root.sibling;
}
else
{
prev_root.sibling = root.sibling;
}
Node new_head = null;
Node child = root.child;
while (child != null)
{
Node other_child = child.sibling;
child.sibling = new_head;
child.parent = null;
new_head = child;
child = other_child;
}
BinomialHeap new_heap = new BinomialHeap(new_head);
head = UnionTree(new_heap);
}
public void Add(int key)
{
Node node = new Node(key);
BinomialHeap tempHeap = new BinomialHeap(node);
head = UnionTree(tempHeap);
}
private Node Merge(BinomialHeap Heap1, BinomialHeap Heap2)
{
if (Heap1.head == null)
{
return(Heap2.head);
}
else if (Heap2.head == null)
{
return(Heap1.head);
}
else
{
Node new_head;
Node heap1_next = Heap1.head;
Node heap2_next = Heap2.head;
if (Heap1.head.degree <= Heap2.head.degree)
{
new_head = Heap1.head;
heap1_next = heap1_next.sibling;
}
else
{
new_head = Heap2.head;
heap2_next = heap2_next.sibling;
}
Node end = new_head;
while (heap1_next != null && heap2_next != null)
{
if (heap1_next.degree <= heap2_next.degree)
{
end.sibling = heap1_next;
heap1_next = heap1_next.sibling;
}
else
{
end.sibling = heap2_next;
heap2_next = heap2_next.sibling;
}
end = end.sibling;
}
if (heap1_next != null)
{
end.sibling = heap1_next;
}
else
{
end.sibling = heap2_next;
}
return(new_head);
}
}
private Node UnionTree(BinomialHeap Heap)
{
Node new_head = Merge(this, Heap);
head = null;
Heap.head = null;
if (new_head == null)
{
return(null);
}
Node prev = null;
Node current = new_head;
Node next = new_head.sibling;
while (next != null)
{
if (current.degree != next.degree ||
(next.sibling != null && next.sibling.degree == current.degree))
{
prev = current;
current = next;
}
else if (current.key < next.key)
{
current.sibling = next.sibling;
BuildTree(current, next);
}
else
{
if (prev == null)
{
new_head = next;
}
else
{
prev.sibling = next;
}
BuildTree(next, current);
current = next;
}
next = current.sibling;
}
return(new_head);
}
static void Main(string[] args)
{
BinomialHeap heap = new BinomialHeap();
bool check = false;
do
{
Console.WriteLine("Выберите действие с биноминальной кучей:\n1 - добавить элемент\n2 - удалить минимальный элемент\n3 - вывод кучи\n4 - выход ");
string p = Console.ReadLine();
switch (p)
{
case "1":
Console.WriteLine("Какой элемент добавить?");
heap.Add(Convert.ToInt32(Console.ReadLine()));
check = false;
break;
case "2":
heap.DeleteMin();
heap.Print();
check = false;
break;
case "3":
heap.Print();
check = false;
break;
case "4":
check = true;
break;
default:
Console.WriteLine("Неверный ввод.Попробуйте ещё раз.");
break;
}
} while (check == false);
}