二叉排序树,又称为二叉查找树。它或者是一颗空树,或者是具有下列性质的二叉树:
1,排序方便
2,查找方便
3,便于插入和删除
C#链式存储二叉排序树,实现简单的排序,以及查找,具体代码如下:
namespace _2_1_3二叉排序树{ /// <summary> /// 结点类 /// </summary> class BSNode { //结点 public BSNode LeftChild { get; set; } public BSNode RightChild { get; set; } public BSNode Parent { get; set; } public int Data { get; set; } // 构造方法 public BSNode(){} public BSNode(int item) { this.Data = item; } }}using System;namespace _2_1_3二叉排序树{ /// <summary> /// 二叉排序树 /// </summary> class BSTree { BSNode root = null; /// <summary> /// 添加数据 /// </summary> public void Add(int item) { //创建新结点 BSNode newNode = new BSNode(item); if (root == null) //若为空,则创建为根结点 { root = newNode; } else { BSNode temp = root; while (true) { if (item >= temp.Data) //放在temp结点的右边 { if (temp.RightChild == null) { temp.RightChild = newNode; newNode.Parent = temp; break; } else { temp = temp.RightChild; } } else //放在temp结点的左边 { if (temp.LeftChild == null) { temp.LeftChild = newNode; newNode.Parent = temp; break; } else { temp = temp.LeftChild; } } } } } /// <summary> /// 中序遍历二叉树 /// </summary> public void MiddleBianli() { MiddleBianli(root); } //递归方式中序遍历树 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 { //利用二叉排序树的便利 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) { //叶子结点,即无子树情况 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; } //只有右子树的情况 if (node.LeftChild == null && node.RightChild != null) { node.Data = node.RightChild.Data; node.RightChild = null; return; } //只有左子树的情况 if (node.LeftChild != null && node.RightChild == null) { node.Data = node.LeftChild.Data; node.LeftChild = null; return; } //删除的结点有左,右子树 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_3二叉排序树{ /// <summary> /// 测试类 /// </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("中序遍历的结果:"); 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("删除根结点后的结果:"); tree.Delete(62); tree.MiddleBianli(); Console.ReadKey(); } }}
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