namespace _2_1_3二叉排序樹
{
  /// <summary>
  /// 結(jié)點(diǎn)類
  /// </summary>
  class BSNode
  {
    //結(jié)點(diǎn)
    public BSNode LeftChild { get; set; }
    public BSNode RightChild { get; set; }
    public BSNode Parent { get; set; }
    public int Data { get; set; }
    // 構(gòu)造方法
    public BSNode(){}
    public BSNode(int item)
    {
      this.Data = item;
    }
  }
}
using System;
namespace _2_1_3二叉排序樹
{
  /// <summary>
  /// 二叉排序樹
  /// </summary>
  class BSTree
  {
    BSNode root = null;
    /// <summary>
    /// 添加數(shù)據(jù)
    /// </summary>
    public void Add(int item)
    {
      //創(chuàng)建新結(jié)點(diǎn)
      BSNode newNode = new BSNode(item);
      if (root == null)     //若為空，則創(chuàng)建為根結(jié)點(diǎn)
      {
        root = newNode;
      }
      else
      {
        BSNode temp = root;
        while (true)
        {
          if (item >= temp.Data) //放在temp結(jié)點(diǎn)的右邊
          {
            if (temp.RightChild == null)
            {
              temp.RightChild = newNode;
              newNode.Parent = temp;
              break;
            }
            else
            {
              temp = temp.RightChild;
            }
          }
          else          //放在temp結(jié)點(diǎn)的左邊
          {
            if (temp.LeftChild == null)
            {
              temp.LeftChild = newNode;
              newNode.Parent = temp;
              break;
            }
            else
            {
              temp = temp.LeftChild;
            }
          }
        }
      }
    }
    /// <summary>
    /// 中序遍歷二叉樹
    /// </summary>
    public void MiddleBianli()
    {
      MiddleBianli(root);
    }
    //遞歸方式中序遍歷樹
    private void MiddleBianli(BSNode node)
    {
      if (node == null) return;
      MiddleBianli(node.LeftChild);
      Console.Write(node.Data + " ");
      MiddleBianli(node.RightChild);
    }
    /// <summary>
    ///查找方法-1
    /// </summary>
    public bool Find1(int item)
    {
      return Find(item, root);
    }
    private bool Find(int item, BSNode node)
    {
      if (node == null) { return false; }
      if (node.Data == item)
      {
        return true;
      }
      else
      {
        //利用二叉排序樹的便利
        if (item > node.Data)
        {
          return Find(item, node.RightChild);
        }
        else
        {
          return Find(item, node.LeftChild);
        }
      }
    }
    /// <summary>
    /// 查找方法-2
    /// </summary>
    /// <param name="item"></param>
    /// <returns></returns>
    public bool Find2(int item)
    {
      BSNode temp = root;
      while (true)
      {
        if (temp == null) return false;
        if (temp.Data == item) return true;
        if (item > temp.Data)
        {
          temp = temp.RightChild;
        }
        else
        {
          temp = temp.LeftChild;
        }
      }
    }
    public bool Delete(int item)
    {
      BSNode temp = root;
      while (true)
      {
        if (temp == null) return false;
        if (temp.Data == item)
        {
          Delete(temp);
          return true;
        }
        if (item > temp.Data)
        {
          temp = temp.RightChild;
        }
        else
        {
          temp = temp.LeftChild;
        }
      }
    }
    public void Delete(BSNode node)
    {
      //葉子結(jié)點(diǎn)，即無子樹情況
      if (node.LeftChild == null && node.RightChild == null)
      {
        if (node.Parent == null)
        {
          root = null;
        }
        else if (node.Parent.LeftChild == node)
        {
          node.Parent.LeftChild = null;
        }
        else if (node.Parent.RightChild == node)
        {
          node.Parent.RightChild = null;
        }
        return;
      }
      //只有右子樹的情況
      if (node.LeftChild == null && node.RightChild != null)
      {
        node.Data = node.RightChild.Data;
        node.RightChild = null;
        return;
      }
      //只有左子樹的情況
      if (node.LeftChild != null && node.RightChild == null)
      {
        node.Data = node.LeftChild.Data;
        node.LeftChild = null;
        return;
      }
      //刪除的結(jié)點(diǎn)有左，右子樹
      BSNode temp = node.RightChild;
      while (true)
      {
        if (temp.LeftChild != null)
        {
          temp = temp.LeftChild;
        }
        else
        {
          break;
        }
      }
      node.Data = temp.Data;
      Delete(temp);
    }
  }
}
using System;
namespace _2_1_3二叉排序樹
{
  /// <summary>
  /// 測試類
  /// </summary>
  class Program
  {
    static void Main(string[] args)
    {
      BSTree tree = new BSTree();
      int[] data = {62,58,28,47,73,99,35,51,93,37 };

      foreach (int item in data)
      {
        tree.Add(item);
      }
      Console.Write("中序遍歷的結(jié)果：");
      tree.MiddleBianli();
      Console.WriteLine();
      Console.WriteLine("Find-1方法查找62是否存在：" + tree.Find1(62));
      Console.WriteLine("Find-2方法查找62是否存在：" + tree.Find2(62));
      Console.WriteLine("Find-1方法查找63是否存在：" + tree.Find1(63)); 
      Console.WriteLine("Find-2方法查找63是否存在：" + tree.Find2(63));
      Console.WriteLine("刪除根結(jié)點(diǎn)后的結(jié)果：");
      tree.Delete(62);
      tree.MiddleBianli();
      Console.ReadKey();
    }
  }
}