8_ I need completion of code.  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. """ # TC: O(b) SC: O(log n) def is_symmetric(root):     if root is None:         return True     return helper(root.left, root.right) def helper(p, q):     if p is None and q is None:         return True     if p is not None or q is not None or q.val != p.val:         return False     return helper(p.left, q.right) and helper(p.right, q.left) def is_symmetric_iterative(root):     if root is None:         return True     stack = [[root.left, root.right]]     while stack:         left, right = stack.pop()  # popleft         if left is None and right is None:             continue. .

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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8_ I need completion of code. 

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.
"""

# TC: O(b) SC: O(log n)
def is_symmetric(root):
    if root is None:
        return True
    return helper(root.left, root.right)


def helper(p, q):
    if p is None and q is None:
        return True
    if p is not None or q is not None or q.val != p.val:
        return False
    return helper(p.left, q.right) and helper(p.right, q.left)


def is_symmetric_iterative(root):
    if root is None:
        return True
    stack = [[root.left, root.right]]
    while stack:
        left, right = stack.pop()  # popleft
        if left is None and right is None:
            continue. . 

 

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