给定一个二叉树,检查它是否是镜像对称的。
例如,二叉树 [1,2,2,3,4,4,3] 是对称的。
1 / \ 2 2 / \ / \ 3 4 4 3
下面这个 [1,2,2,null,3,null,3] 则不是镜像对称的:
1 / \ 2 2 \ \ 3 3
package com.loo;
import java.util.Queue; import java.util.LinkedList;
public class SymmetricTree { public static void main(String[] args) { TreeNode root = new TreeNode(8); TreeNode l1 = new TreeNode(4); TreeNode l2 = new TreeNode(2); TreeNode l3 = new TreeNode(5); TreeNode r1 = new TreeNode(4); TreeNode r2 = new TreeNode(2); TreeNode r3 = new TreeNode(5); root.left = l1; l1.left = l2; l1.right = l3; root.right = r1; r1.left = r3; r1.right = r2; System.out.println(isSymmetricTree1(root)); System.out.println(isSymmetricTree2(root)); }
static class TreeNode { int value; TreeNode left; TreeNode right; public TreeNode(int v) { value = v; } }
public static boolean isSymmetricTree1(TreeNode root) { if (root == null) { return true; } return checkSymmetricTree1(root , root); }
public static boolean checkSymmetricTree1(TreeNode p , TreeNode q) { if (p==null && q==null) { return true; } if (p==null || q==null) { return false; } return p.value == q.value && checkSymmetricTree1(p.left , q.right) && checkSymmetricTree1(p.right , q.left); }
public static boolean isSymmetricTree2(TreeNode root) { if (root == null) { return true; } return checkSymmetricTree2(root , root); }
public static boolean checkSymmetricTree2(TreeNode p , TreeNode q) { Queue<TreeNode> queue = new LinkedList<TreeNode>(); queue.offer(p); queue.offer(q); while (!queue.isEmpty()) { p = queue.poll(); q = queue.poll(); if (p==null && q==null) { continue; } if (p==null || q==null || p.value != q.value) { return false; } queue.offer(p.left); queue.offer(q.right); queue.offer(p.right); queue.offer(q.left); } return true; } }