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   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.
# class TreeNode:
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution:
    def isSymmetric2(self, l: TreeNode, r: TreeNode) -> bool:
        if l is None and r is None:
            return True
        if l is None or r is None:
            return False
        if l.val == r.val:
            return self.isSymmetric2(l.left, r.right) and self.isSymmetric2(l.right, r.left)
        
    def isSymmetric(self, root: TreeNode) -> bool:
        if root is None:
            return True
        return self.isSymmetric2(root.left, root.right)

 

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