前序遍历: 先输出父节点,再遍历左子树和右子树
中序遍历: 先遍历左子树,再输出父节点,再遍历右子树
后序遍历: 先遍历左子树,再遍历右子树,最后输出父节点
看输出父节点的顺序,就确定是前序,中序还是后序
对下面二叉树进行前中后续遍历和查找及节点的删除
package com.whb.tree;
public class BinaryTreeDemo {
public static void main(String[] args) {
// 先需要创建一颗二叉树
BinaryTree binaryTree = new BinaryTree();
// 创建需要的结点
HeroNode root = new HeroNode(1, "宋江");
HeroNode node2 = new HeroNode(2, "吴用");
HeroNode node3 = new HeroNode(3, "卢俊义");
HeroNode node4 = new HeroNode(4, "林冲");
HeroNode node5 = new HeroNode(5, "关胜");
// 先手动创建该二叉树
root.setLeft(node2);
root.setRight(node3);
node3.setRight(node4);
node3.setLeft(node5);
binaryTree.setRoot(root);
// 测试
// System.out.println("前序遍历"); // 1,2,3,5,4
// binaryTree.preOrder();
// 测试
// System.out.println("中序遍历");
// binaryTree.infixOrder(); // 2,1,5,3,4
//
// System.out.println("后序遍历");
// binaryTree.postOrder(); // 2,5,4,3,1
// 前序遍历
// 前序遍历的次数 :4
// System.out.println("前序遍历方式~~~");
// HeroNode resNode = binaryTree.preOrderSearch(5);
// if (resNode != null) {
// System.out.printf("找到了,信息为 no=%d name=%s", resNode.getNo(), resNode.getName());
// } else {
// System.out.printf("没有找到 no = %d 的英雄", 5);
// }
// 中序遍历查找
// 中序遍历3次
// System.out.println("中序遍历方式~~~");
// HeroNode resNode = binaryTree.infixOrderSearch(5);
// if (resNode != null) {
// System.out.printf("找到了,信息为 no=%d name=%s", resNode.getNo(), resNode.getName());
// } else {
// System.out.printf("没有找到 no = %d 的英雄", 5);
// }
// 后序遍历查找
// 后序遍历查找的次数 2次
// System.out.println("后序遍历方式~~~");
// HeroNode resNode = binaryTree.postOrderSearch(5);
// if (resNode != null) {
// System.out.printf("找到了,信息为 no=%d name=%s", resNode.getNo(), resNode.getName());
// } else {
// System.out.printf("没有找到 no = %d 的英雄", 5);
// }
// 测试删除结点
System.out.println("删除前,前序遍历");
binaryTree.preOrder(); // 1,2,3,5,4
binaryTree.delNode(5);
// binaryTree.delNode(3);
System.out.println("删除后,前序遍历");
binaryTree.preOrder(); // 1,2,3,4
}
}
class BinaryTree{
private HeroNode root;
public void setRoot(HeroNode root){
this.root = root;
}
// 删除结点
public void delNode(int no){
if (root != null){
if (root.getNo() == no){
root = null;
}else {
root.delNode(no);
}
}else {
System.out.println("空树, 不能删除~");
}
}
//前序遍历
public void preOrder() {
if(this.root != null) {
this.root.preOrder();
}else {
System.out.println("二叉树为空,无法遍历");
}
}
// 中序遍历
public void infixOrder(){
if (this.root != null){
this.root.infixOrder();
}else {
System.out.println("二叉树为空");
}
}
// 后序遍历
public void postOrder(){
if (this.root != null){
this.root.postOrder();
}else {
System.out.println("二叉树为空,无法遍历");
}
}
// 前序遍历查找
public HeroNode preOrderSearch(int no) {
if(root != null) {
return root.preOrderSearch(no);
} else {
return null;
}
}
// 中序遍历查找
public HeroNode infixOrderSearch(int no) {
if(root != null) {
return root.infixOrderSearch(no);
}else {
return null;
}
}
// 后序遍历查找
public HeroNode postOrderSearch(int no) {
if(root != null) {
return this.root.postOrderSearch(no);
}else {
return null;
}
}
}
class HeroNode{
private int no;
private String name;
private HeroNode left;
private HeroNode right;
public HeroNode(int no, String name){
this.no = no;
this.name = name;
}
public int getNo() {
return no;
}
public void setNo(int no) {
this.no = no;
}
public String getName() {
return name;
}
public void setName(String name) {
this.name = name;
}
public HeroNode getLeft() {
return left;
}
public void setLeft(HeroNode left) {
this.left = left;
}
public HeroNode getRight() {
return right;
}
public void setRight(HeroNode right) {
this.right = right;
}
public String toString() {
return "HeroNode [no=" + no + ", name=" + name + "]";
}
// 递归删除节点
public void delNode(int no){
if (this.left != null && this.left.no == no){
this.left = null;
return;
}
if (this.right != null && this.right.no == no){
this.right = null;
return;
}
if (this.left != null){
this.left.delNode(no);
}
if (this.right != null){
this.right.delNode(no);
}
}
// 前序遍历查找
public void preOrder(){
System.out.println(this);
if(this.left != null){
this.left.preOrder();
}
if(this.right != null){
this.right.preOrder();
}
}
// 中序遍历
public void infixOrder(){
if(this.left != null){
this.left.infixOrder();
}
System.out.println(this);
if(this.right != null){
this.right.infixOrder();
}
}
// 后序列遍历
public void postOrder(){
if (this.left != null){
this.left.postOrder();
}
if(this.right != null){
this.right.postOrder();
}
System.out.println(this);
}
// 前序遍历查找
public HeroNode preOrderSearch(int no){
System.out.println("进入前序遍历");
if (this.no == no){
return this;
}
HeroNode resNode = null;
if (this.left != null){
resNode = this.left.preOrderSearch(no);
}
if (resNode != null){
return resNode;
}
if (this.right != null){
resNode = this.right.preOrderSearch(no);
}
return resNode;
}
// 中序遍历查找
public HeroNode infixOrderSearch(int no){
HeroNode resNode = null;
if (this.left != null){
resNode = this.left.infixOrderSearch(no);
}
if (resNode != null){
return resNode;
}
System.out.println("进入中序查找");
if (this.no == no){
return this;
}
if (this.right != null){
resNode = this.right.infixOrderSearch(no);
}
return resNode;
}
// 后序遍历查找
public HeroNode postOrderSearch(int no){
HeroNode resNode = null;
if (this.left != null){
resNode = this.postOrderSearch(no);
}
if (resNode != null){
return resNode;
}
if (this.right != null){
resNode = this.right.postOrderSearch(no);
}
if (resNode != null){
return resNode;
}
System.out.println("进入后序查找");
if (this.no == no){
resNode = this;
}
return resNode;
}
}