symmetric tree


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

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


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