import java.util.Stack;
class Node {
private char key;
private Node left, right;
public Node(char key) {
this(key, null, null);
}
public Node(char key, Node left, Node right) {
this.key = key;
this.left = left;
this.right = right;
}
public char getKey() {
return key;
}
public void setKey(char key) {
this.key = key;
}
public Node getLeft() {
return left;
}
public void setLeft(Node left) {
this.left = left;
}
public Node getRight() {
return right;
}
public void setRight(Node right) {
this.right = right;
}
}
public class BinaryTree {
protected Node root;
public BinaryTree(Node root) {
this.root = root;
}
public Node getRoot() {
return root;
}
/** 构造树 */
public static Node init() {
Node a = new Node('A');
Node b = new Node('B', null, a);
Node c = new Node('C');
Node d = new Node('D', b, c);
Node e = new Node('E');
Node f = new Node('F', e, null);
Node g = new Node('G', null, f);
Node h = new Node('H', d, g);
return h;// root
}
/** 访问节点 */
public static void visit(Node p) {
System.out.print(p.getKey() + " ");
}
/** 递归实现前序遍历 */
protected static void preorder(Node p) {
if (p != null) {
visit(p);
preorder(p.getLeft());
preorder(p.getRight());
}
}
/** 递归实现中序遍历 */
protected static void inorder(Node p) {
if (p != null) {
inorder(p.getLeft());
visit(p);
inorder(p.getRight());
}
}
/** 递归实现后序遍历 */
protected static void postorder(Node p) {
if (p != null) {
postorder(p.getLeft());
postorder(p.getRight());
visit(p);
}
}
//前序非递归实现
protected static void iterativePreorder(Node p) {
Stack<Node> stack = new Stack<Node>();
Node node = p;
while (node != null || stack.size() > 0) {
while (node != null) {//压入所有的左节点,压入前访问它。左节点压入完后pop访问右节点。像这样算法时思考规律性的东西在哪。不管哪个节点都要压所节点判断右节点。
visit(node);
stack.push(node);
node = node.getLeft();
}
if (stack.size() > 0) {//
node = stack.pop();
node = node.getRight();
}
}
}
//中序非递归实现
protected static void iterativeInorder(Node p) {
Stack<Node> stack = new Stack<Node>();
Node node = p;
while(node != null || stack.size() > 0) {
while (node != null) {
stack.push(node);
node = node.getLeft();
}
if (stack.size() > 0) {
node = stack.pop();
visit(node);
node = node.getRight();
}
}
}
//后序非递归实现
protected static void iterativePostorder(Node p) {
Node q = p;
Stack<Node> stack = new Stack<Node>();
while (p != null) {
// 左子树入栈
for (; p.getLeft() != null; p = p.getLeft())
stack.push(p);
// 当前节点无右子或右子已经输出
while (p != null && (p.getRight() == null || p.getRight() == q)) {
visit(p);
q = p;// 记录上一个已输出节点
if (stack.empty())
return;
p = stack.pop();
}
// 处理右子
stack.push(p);
p = p.getRight();
}
}
public static void main(String[] args) {
BinaryTree tree = new BinaryTree(init());
System.out.print(" 递归前序遍历 \n");
preorder(tree.getRoot());
System.out.println();
System.out.print(" 递归中序遍历 \n");
inorder(tree.getRoot());
System.out.println();
System.out.print(" 递归后序遍历 \n");
postorder(tree.getRoot());
System.out.println();
System.out.print(" 非递归前序遍历 \n");
iterativePreorder(tree.getRoot());
System.out.println();
System.out.print(" 非递归中序遍历 \n");
iterativeInorder(tree.getRoot());
System.out.println();
System.out.print(" 非递归后序遍历 \n");
iterativePostorder(tree.getRoot());
}
}