思路:
对称二叉树是左右子树对称,而不是左右子树相等,所以假设一个树只有3个节点,那么判断这个数是否是对称二叉树,肯定是先判断左右两个树,然后再看根节点,这样递归顺序我们就确认了,是后序遍历。
那么根据遍历顺序,我们可写出递归函数,递归函数的中止和放行条件就是第二步了,这一步可以看代码。
代码:
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode() {}
* TreeNode(int val) { this.val = val; }
* TreeNode(int val, TreeNode left, TreeNode right) {
* this.val = val;
* this.left = left;
* this.right = right;
* }
* }
*/
class Solution {
public boolean isSymmetric(TreeNode root) {
return compare(root.left, root.right);
}
public boolean compare(TreeNode left, TreeNode right){
if(left==null && right!=null) return false;
if(left!=null && right==null) return false;
if(left==null && right==null) return true;
if(left.val!=right.val) return false;
boolean compareOutSide = compare(left.left,right.right);
boolean compareInside = compare(left.right,right.left);
return compareOutSide && compareInside;
}
}