c# - .Net 中的堆数据结构

Question

可能重复：
.Net 中的优先级队列

.Net 中是否有堆数据结构的实现？

http://en.wikipedia.org/wiki/Heap_(data_structure)

Answer 1

我一直在学习的这门课可能对你有用。显然我不给你任何保证。

public sealed class FibonacciHeap<TKey, TValue>
{
    readonly List<Node> _root = new List<Node>();
    int _count;
    Node _min;

    public void Push(TKey key, TValue value)
    {
        Insert(new Node {
            Key = key,
            Value = value
        });
    }       

    public KeyValuePair<TKey, TValue> Peek()
    {
        if (_min == null)
            throw new InvalidOperationException();
        return new KeyValuePair<TKey,TValue>(_min.Key, _min.Value);
    }       

    public KeyValuePair<TKey, TValue> Pop()
    {
        if (_min == null)
            throw new InvalidOperationException();
        var min = ExtractMin();
        return new KeyValuePair<TKey,TValue>(min.Key, min.Value);
    }

    void Insert(Node node)
    {
        _count++;
        _root.Add(node);
        if (_min == null)
        {
            _min = node;
        }
        else if (Comparer<TKey>.Default.Compare(node.Key, _min.Key) < 0)
        {
            _min = node;
        }
    }

    Node ExtractMin()
    {
        var result = _min;
        if (result == null)
            return null;
        foreach (var child in result.Children)
        {
            child.Parent = null;
            _root.Add(child);
        }
        _root.Remove(result);
        if (_root.Count == 0)
        {
            _min = null;
        }
        else
        {
            _min = _root[0];
            Consolidate();
        }
        _count--;
        return result;
    }

    void Consolidate()
    {
        var a = new Node[UpperBound()];
        for (int i = 0; i < _root.Count; i++)
        {
            var x = _root[i];
            var d = x.Children.Count;
            while (true)
            {   
                var y = a[d];
                if (y == null)
                    break;                  
                if (Comparer<TKey>.Default.Compare(x.Key, y.Key) > 0)
                {
                    var t = x;
                    x = y;
                    y = t;
                }
                _root.Remove(y);
                i--;
                x.AddChild(y);
                y.Mark = false;
                a[d] = null;
                d++;
            }
            a[d] = x;
        }
        _min = null;
        for (int i = 0; i < a.Length; i++)
        {
            var n = a[i];
            if (n == null)
                continue;
            if (_min == null)
            {
                _root.Clear();
                _min = n;
            }
            else
            {
                if (Comparer<TKey>.Default.Compare(n.Key, _min.Key) < 0)
                {
                    _min = n;
                }
            }
            _root.Add(n);
        }
    }

    int UpperBound()
    {
        return (int)Math.Floor(Math.Log(_count, (1.0 + Math.Sqrt(5)) / 2.0)) + 1;
    }

    class Node
    {
        public TKey Key;
        public TValue Value;
        public Node Parent;
        public List<Node> Children = new List<Node>();
        public bool Mark;

        public void AddChild(Node child)
        {
            child.Parent = this;
            Children.Add(child);
        }

        public override string ToString()
        {
            return string.Format("({0},{1})", Key, Value);
        }
    }
}