public static BiTNode pEnd = null; //双向链表尾结点
/// <summary>
/// 方法功能：把二叉树转换为双向链表
/// 输入参数：root-二叉树根结点
/// </summary>
/// <param name="root"></param>
public static void InOrderBSTree(BiTNode root)
{
if (root == null)
{
return;
}
//转换root的左子树
InOrderBSTree(root.Lchild);
root.Lchild = pEnd; //使当前结点的左指针指向双向链表中最后一个结点
if (pEnd == null)
{
//双向链表中最后一个结点的右指针指向当前结点
pHead = root;
}
else
{
//使双向链表中最后一个结点的右指针指向当前结点
pEnd.Rchild = root;
}
pEnd = root; //将当前结点设为双向链表中最后一个结点
//转换root的右子树
InOrderBSTree(root.Rchild);
}
/// <summary>
/// 方法功能：判断两个二叉树是否相等
/// 参数：root1与root2分别为两个二叉树的根结点
/// </summary>
/// <param name="root1"></param>
/// <param name="root2"></param>
/// <returns></returns>
public static bool IsEqual(BiTNode root1, BiTNode root2)
{
if (root1 == null && root2 == null)
{
return(true);
}
if (root1 == null && root2 != null)
{
return(false);
}
if (root1 != null && root2 == null)
{
return(false);
}
if (root1.Data == root2.Data)
{
return(IsEqual(root1.Lchild, root2.Lchild) && IsEqual(root1.Rchild, root2.Rchild));
}
else
{
return(false);
}
}
/// <summary>
/// 方法功能：打印出满足所有结点的和等于num的所有路径
/// 参数：root-0二叉树根结点；num：给定的整数；sum：当前路径上所有结点的和
/// v:用来存储从根结点到当前遍历到结点的路径
/// </summary>
/// <param name="root"></param>
/// <param name="num"></param>
/// <param name="sum"></param>
/// <param name="v"></param>
public static void FindRoad(BiTNode root, int num, int sum, List <int> v)
{
//记录当前遍历的root结点
sum += root.Data;
v.Add(root.Data);
//当前结点是叶子结点且遍历的路径上所有结点的和等于sum
if (root.Lchild == null && root.Rchild == null && sum == num)
{
for (int i = 0; i < v.Count; i++)
{
Console.Write(v[i] + " ");
}
Console.WriteLine();
}
//遍历root的左子树
if (root.Lchild != null)
{
FindRoad(root.Lchild, num, sum, v);
}
//遍历root的右子树
if (root.Rchild != null)
{
FindRoad(root.Rchild, num, sum, v);
}
//清除遍历的路径
sum -= v[v.Count - 1];
v.Remove(v.Count - 1);
}
public static void PrintTreeLayer(BiTNode root)
{
if (root == null)
{
return;
}
BiTNode p;
Queue <BiTNode> queue = new Queue <BiTNode>();
//树根结点进队列
queue.Enqueue(root);
while (queue.Count > 0)
{
p = queue.Dequeue();
//访问当前结点
Console.Write(p.Data + " ");
//如果这个结点的左孩子不为空则入队列
if (p.Lchild != null)
{
queue.Enqueue(p.Lchild);
}
//如果这个结点的右孩子不为空则入队列
if (p.Rchild != null)
{
queue.Enqueue(p.Rchild);
}
}
}
/// <summary>
/// 方法功能：查找值最大的结点
/// 输入参数：root-根结点
/// </summary>
/// <param name="root"></param>
/// <returns></returns>
public static BiTNode GetMaxNode(BiTNode root)
{
if (root == null)
{
return(root);
}
while (root.Rchild != null)
{
root = root.Rchild;
}
return(root);
}
public static void ReverseTree(BiTNode root)
{
if (root == null)
{
return;
}
ReverseTree(root.Lchild);
ReverseTree(root.Rchild);
BiTNode tmp = root.Lchild;
root.Lchild = root.Rchild;
root.Rchild = tmp;
}
public static BiTNode createDupTree(BiTNode root)
{
if (root == null)
{
return(null);
}
//二叉树根结点
BiTNode dupTreee = new BiTNode();
dupTreee.Data = root.Data;
//复制左子树
dupTreee.Lchild = createDupTree(root.Lchild);
//复制右子树
dupTreee.Rchild = createDupTree(root.Rchild);
return(dupTreee);
}
public static void printTreeMidOrder(BiTNode root)
{
if (root == null)
{
return;
}
//遍历root结点的左子树
if (root.Lchild != null)
{
printTreeMidOrder(root.Lchild);
}
//遍历root结点
Console.Write(root.Data + " ");
//遍历root结点的右子树
if (root.Rchild != null)
{
printTreeMidOrder(root.Rchild);
}
}
/// <summary>
/// 方法功能：构造二叉树
/// 返回值：返回新构造的二叉树的根结点
/// </summary>
/// <returns></returns>
public static BiTNode constructTree(int i, int j, int x, int y)
{
BiTNode root = new BiTNode();
BiTNode node1 = new BiTNode();
BiTNode node2 = new BiTNode();
BiTNode node3 = new BiTNode();
BiTNode node4 = new BiTNode();
root.Data = i;
node1.Data = j;
node2.Data = x;
node3.Data = y;
node4.Data = 9;
root.Lchild = node1;
root.Rchild = node2;
node1.Lchild = node3;
node1.Rchild = node4;
node2.Lchild = node2.Rchild = node3.Lchild = node3.Rchild = node4.Lchild = node4.Rchild = null;
return(root);
}
public static BiTNode constructTree()
{
BiTNode root = new BiTNode();
BiTNode node1 = new BiTNode();
BiTNode node2 = new BiTNode();
BiTNode node3 = new BiTNode();
BiTNode node4 = new BiTNode();
root.Data = 6;
node1.Data = 3;
node2.Data = -7;
node3.Data = -1;
node4.Data = 9;
root.Lchild = node1;
root.Rchild = node2;
node1.Lchild = node3;
node1.Rchild = node4;
node2.Lchild = node2.Rchild = node3.Lchild = node3.Rchild = node4.Lchild = node4.Rchild = null;
return(root);
}
/// <summary>
/// 方法功能；查找二叉树中两个结点最近的共同父结点
/// 输入参数：root-根结点；node1和node2为二叉树中两个结点
/// 返回值：node1和node2最近的共同父结点
/// </summary>
/// <param name="root"></param>
/// <param name="root1"></param>
/// <param name="root2"></param>
/// <returns></returns>
public static BiTNode FindParentNode(BiTNode root, BiTNode node1, BiTNode node2)
{
Stack <BiTNode> stack1 = new Stack <BiTNode>(); //保存从root到node1的路径
Stack <BiTNode> stack2 = new Stack <BiTNode>(); //保存从root到node2的路径
//获取从root到node1的路径
getPathFromRoot(root, node1, stack1);
//获取从root到node2的路径
getPathFromRoot(root, node2, stack2);
BiTNode commomParent = null;
//获取最靠近node1和node2的父结点
while (stack1.Peek() == stack2.Peek())
{
commomParent = stack1.Peek();
stack1.Pop();
stack2.Pop();
}
return(commomParent);
}
public static BiTNode arraytotree(int[] arr, int start, int end)
{
BiTNode root = null;
if (end >= start)
{
root = new BiTNode();
int mid = (start + end + 1) / 2;
//树的根结点为数组中间的元素
root.Data = arr[mid];
//递归的用左半部分数组构造root的左子树
root.Lchild = arraytotree(arr, start, mid - 1);
//递归的用右半部分数组构造root的右子树
root.Rchild = arraytotree(arr, mid + 1, end);
}
else
{
root = null;
}
return(root);
}
/// <summary>
/// 方法功能：获取二叉树从根结点root到node结点的路径
/// 输入参数：root-根结点 node-二叉树中的某个结点；s-用来存储路径的栈
/// </summary>
/// <param name="root"></param>
/// <param name="node"></param>
/// <param name=""></param>
/// <returns></returns>
public static bool getPathFromRoot(BiTNode root, BiTNode node, Stack <BiTNode> s)
{
if (root == null)
{
return(false);
}
if (root == node)
{
s.Push(root);
return(true);
}
//如果node结点在root结点的左子树或右子树上
//那么root就是node的祖先结点，把它加到栈里
if (getPathFromRoot(root.Lchild, node, s) || getPathFromRoot(root.Rchild, node, s))
{
s.Push(root);
return(true);
}
return(false);
}
public static BiTNode GetNode(BiTNode root)
{
BiTNode maxNode = GetMaxNode(root);
BiTNode minNode = GetMinNode(root);
int mid = (maxNode.Data + minNode.Data) / 2;
BiTNode result = null;
while (root != null)
{
//当前结点的值不大于f，则在右子树上找
if (root.Data <= mid)
{
root = root.Rchild;
}
//否在左子树上找
else
{
result = root;
root = root.Lchild;
}
}
return(result);
}
