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 2
/ \ / \
3 4 4 3
But the following [1,2,2,null,3,null,3] is not:
1
/ \
2 2
\ \
3 3
Note: Bonus points if you could solve it both recursively and iteratively.
/**
* 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;
return isSymmetric(root.left, root.right);
}
public boolean isSymmetric(TreeNode left, TreeNode right){
if(left == null && right == null)
return true;
else if (left == null || right == null)
return false;
else if (left.val != right.val)
return false;
return isSymmetric(left.left, right.right) && isSymmetric(left.right, right.left);
}
}