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Symmetric Tree

Symmetric Tree

Given a binary tree, check whether it is a mirror of itself (ie, symmetric around its center).

For example, this binary tree is symmetric:

    1   /   2   2 / \ / 3  4 4  3

 

But the following is not:

    1   /   2   2   \      3    3

 

Note:
Bonus points if you could solve it both recursively and iteratively.

 

首先1. top-down 还是 bottom-up.    选择top-down

     2.  用递归. 是否需要内嵌小递归.   需要. 其实就是判定root的是否一样的小递归.

     3.  逻辑运用小递归. left.left,right.right    left.right,right.left

 

/** * Definition for binary tree * public class TreeNode { *     int val; *     TreeNode left; *     TreeNode right; *     TreeNode(int x) { val = x; } * } */public class Solution {    public boolean isSymmetric(TreeNode root){         if(root == null)            return true;         return isSymmetric(root.left,root.right);    }    public boolean isSymmetric(TreeNode left, TreeNode right) {        if(left == null && right == null)            return true;        if(left == null || right == null)            return false;        if(left.val != right.val)            return false;        return isSymmetric(left.left,right.right) && isSymmetric(left.right,right.left);    }}

 

Symmetric Tree