1、二叉树的先序,中序,后序遍历
import java.util.Stack;
/**
* @Author zb
* @Date 2018/8/14
* 二叉树的先序,中序,后序遍历
*/
public class PreInPosTraversal {
/**
* 定义二叉树结点
*/
public static class Node{
public int value;
public Node left;
public Node right;
public Node(int data){
this.value = data;
}
}
/**
* 递归实现先序遍历
* @param head
*/
public static void preOrderRecur(Node head){
if(head == null){
return ;
}
System.out.print(head.value + " ");
preOrderRecur(head.left);
preOrderRecur(head.right);
}
/**
* 递归实现中序遍历
* @param head
*/
public static void inOrderRecur(Node head){
if(head == null){
return ;
}
inOrderRecur(head.left);
System.out.print(head.value + " ");
inOrderRecur(head.right);
}
/**
* 递归实现后序遍历
* @param head
*/
public static void posOrderRecur(Node head){
if(head == null){
return ;
}
posOrderRecur(head.left);
posOrderRecur(head.right);
System.out.print(head.value + " ");
}
/**
* 非递归实现先序遍历
* @param head
*/
public static void preOrderUnRecur(Node head){
System.out.println("pre-order: ");
if(head != null){
Stack<Node> stack = new Stack<Node>();
stack.add(head);
Node cur;
while(!stack.isEmpty()){
cur = stack.pop();
System.out.print(cur.value + " ");
if(cur.right != null){
stack.push(cur.right);
}
if(cur.left != null){
stack.push(cur.left);
}
}
}
System.out.println();
}
/**
* 非递归实现中序遍历
* @param head
*/
public static void inOrderUnRecur(Node head){
System.out.println("in-order:");
if(head != null){
Stack<Node> stack = new Stack<Node>();
Node cur = head;
while(!stack.isEmpty() || cur != null){
if(cur != null){
stack.push(cur);
cur = cur.left;
}else{
cur = stack.pop();
System.out.print(cur.value + " ");
cur = cur.right;
}
}
}
System.out.println();
}
/**
* 非递归实现后序遍历(两个栈)
* @param head
*/
public static void posOrderUnRecur1(Node head){
System.out.println("pos-order:");
if(head != null){
Stack<Node> s1 = new Stack<Node>();
Stack<Node> s2 = new Stack<Node>();
s1.push(head);
Node cur = head;
while (!s1.isEmpty()){
cur = s1.pop();
s2.push(cur);
if(cur.left != null){
s1.push(cur.left);
}
if(cur.right != null){
s1.push(cur.right);
}
}
while (!s2.isEmpty()){
System.out.print(s2.pop().value + " ");
}
}
System.out.println();
}
/**
* 非递归实现后序遍历(一个栈)
* @param head
*/
public static void posOrderUnRecur2(Node head){
System.out.println("pos-order:");
if(head != null){
Stack<Node> stack = new Stack<Node>();
stack.push(head);
Node cur = null;
while(!stack.isEmpty()){
cur = stack.peek();
if(cur.left != null && head != cur.left && head != cur.right){
stack.push(cur.left);
}else if(cur.right != null && head != cur.right){
stack.push(cur.right);
}else {
System.out.print(stack.pop().value + " ");
head = cur;
}
}
}
System.out.println();
}
public static void main(String[] args) {
Node head = new Node(1);
head.left = new Node(2);
head.right = new Node(3);
head.left.left = new Node(4);
head.left.right = new Node(5);
head.right.left = new Node(6);
head.right.right = new Node(7);
System.out.println("==============recursive==============");
System.out.print("pre-order: ");
preOrderRecur(head);
System.out.println();
System.out.print("in-order: ");
inOrderRecur(head);
System.out.println();
System.out.print("pos-order: ");
posOrderRecur(head);
System.out.println();
System.out.println("============unrecursive=============");
preOrderUnRecur(head);
inOrderUnRecur(head);
posOrderUnRecur1(head);
posOrderUnRecur2(head);
}
}