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Leetcode101-symmetricTree

Description

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

For example, this binary tree [1,2,2,3,4,4,3] is symmetric:

1
2
3
4
5
    1
/ \
2 2
/ \ / \
3 4 4 3

But the following [1,2,2,null,3,null,3] is not:

1
2
3
4
5
  1
/ \
2 2
\ \
3 3

Solution

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