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:

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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.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
bool isSymmetric(TreeNode* root) {
if (root == NULL)
return true;

return help(root->left, root->right);
}

bool help(TreeNode* p1, TreeNode* p2) {
if (p1 == NULL && p2 == NULL)
return true;
if (p1 == NULL || p2 == NULL)
return false;

return p1->val == p2->val && help(p1->left, p2->right) && help(p1->right, p2->left);
}
};