数据结构主要是数据以及数据与数据之间的关系。二叉树这种数据结构的数据:就是节点里面存放的值,数据与数据之间的关系就是:一个节点最多有2个子节点。
其它相关概念不懂的自己百度,直接看代码,程序实现了求二叉树的高度,结点数,前序遍历,中序,后序遍历以及非递归方法前序遍历。
二叉树结构图代码
package smallkong;
import java.util.Stack;
public class BinaryTree {
private TreeNode root = null;
public BinaryTree(){
root = new TreeNode(1, "A");
}
public class TreeNode{
private int index;
private String data;
private TreeNode leftChild;
private TreeNode rightChild;
public int getIndex() {
return index;
}
public void setIndex(int index) {
this.index = index;
}
public String getData() {
return data;
}
public void setData(String data) {
this.data = data;
}
public TreeNode(int index,String data){
this.index = index;
this.data = data;
this.leftChild = null;
this.rightChild = null;
}
}
/**
* 构建二叉树
* A
* B C
* D E F
*/
public void createBinaryTree(){
TreeNode nodeB = new TreeNode(2, "B");
TreeNode nodeC = new TreeNode(3, "C");
TreeNode nodeD = new TreeNode(4, "D");
TreeNode nodeE = new TreeNode(5, "E");
TreeNode nodeF = new TreeNode(6, "F");
root.leftChild = nodeB;
root.rightChild = nodeC;
nodeB.leftChild = nodeD;
nodeB.rightChild = nodeE;
nodeC.rightChild = nodeF;
}
/**
* 求二叉树的高度
* @author smallkong
*
*/
public int getHeight(){
return getHeight(root);
}
private int getHeight(TreeNode node) {
if(node == null){
return 0;
}else{
int i = getHeight(node.leftChild);
int j = getHeight(node.rightChild);
return (i<j)?j+1:i+1;
}
}
/**
* 获取二叉树的结点数
* @author smallkong
*
*/
public int getSize(){
return getSize(root);
}
private int getSize(TreeNode node) {
if(node == null){
return 0;
}else{
return 1+getSize(node.leftChild)+getSize(node.rightChild);
}
}
/**
* 前序遍历——递归
* @author smallkong
*
*/
public void preOrder(TreeNode node){
if(node == null){
return;
}else{
System.out.print(node.getData());
preOrder(node.leftChild);
preOrder(node.rightChild);
}
}
/**
* 前序遍历——非递归
*/
public void nonRecOrder(TreeNode node){
if(node == null){
return;
}
Stack<TreeNode> stack = new Stack<TreeNode>();
stack.push(node);
while(!stack.isEmpty()){
//出栈和进栈
TreeNode n = stack.pop();//弹出根结点
//压入子结点
System.out.print(n.getData());
if(n.rightChild!=null){
stack.push(n.rightChild);
}
if(n.leftChild!=null){
stack.push(n.leftChild);
}
}
}
/**
* 中序遍历——递归
* @author smallkong
*
*/
public void midOrder(TreeNode node){
if(node == null){
return;
}else{
midOrder(node.leftChild);
System.out.print(node.getData());
midOrder(node.rightChild);
}
}
/**
* 后序遍历——递归
* @author smallkong
*
*/
public void postOrder(TreeNode node){
if(node == null){
return;
}else{
postOrder(node.leftChild);
postOrder(node.rightChild);
System.out.print(node.getData());
}
}
public static void main(String[] args){
BinaryTree binaryTree = new BinaryTree();
binaryTree.createBinaryTree();
int height = binaryTree.getHeight();
System.out.println("树的高度treeHeihgt:"+height);
int size = binaryTree.getSize();
System.out.println("结点数treeSize:"+size);
System.out.print("前序preOrder data:");
binaryTree.preOrder(binaryTree.root);
System.out.print("\n中序midOrder data:");
binaryTree.midOrder(binaryTree.root);
System.out.print("\n后序postOrder data:");
binaryTree.postOrder(binaryTree.root);
System.out.print("\n前序非递归preOrder data:");
binaryTree.nonRecOrder(binaryTree.root);
}
}
运行结果:
树的高度treeHeihgt:3
结点数treeSize:6
前序preOrder data:ABDECF
中序midOrder data:DBEACF
后序postOrder data:DEBFCA
前序非递归preOrder data:ABDECF
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