二叉树的翻转,即以根所在垂直线为对称线,对称位置的两个节点进行交换。
实现这种算法,可以有两种思路,即递归和非递归(栈)。
下面给出Java代码实现。
import java.util.Stack;
/**
* Created by Lee on 2017/11/11.
*/
//树节点
class Node {
int value;
Node left;
Node right;
Node(int value) {
this.value = value;
}
@Override
public String toString() {
return "Node{" +
"value=" + value +
", left=" + left +
", right=" + right +
'}';
}
}
public class InvertBinaryTreeDemo {
public static void swap(Node root){
Node temp = root.left;
root.left = root.right;
root.right = temp;
}
//递归实现
public static Node invert(Node root){
if (root == null){
return null;
}
root.left = invert(root.left);
root.right = invert(root.right);
swap(root);
return root;
}
//非递归,用栈实现
public static void invertByStack(Node root){
Stack<Node> stack = new Stack<Node>();
stack.push(root);
while (!stack.empty()){
Node node = stack.pop();
swap(node);
if (node.left != null){
stack.push(node.left);
}
if (node.right != null){
stack.push(node.right);
}
}
}
//测试
public static void main(String[] args) {
Node node0 = new Node(1);
Node node1 = new Node(2);
Node node2 = new Node(3);
Node node3 = new Node(4);
Node node4 = new Node(5);
Node node5 = new Node(6);
Node node6 = new Node(7);
node0.left = node1;
node0.right = node2;
node1.left = node3;
node1.right = node4;
node2.left = node5;
node2.right = node6;
//invertByStack(node0);
//invert(node0);
System.out.println(node0);
}
}