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For a binary tree T, we can define a flip operation as follows: choose any node, and swap the left and right child subtrees.
A binary tree X is flip equivalent to a binary tree Y if and only if we can make X equal to Y after some number of flip operations.
Given the roots of two binary trees root1
and root2
, return true
if the two trees are flip equivalent or false
otherwise.
Example 1:
Input: root1 = [1,2,3,4,5,6,null,null,null,7,8], root2 = [1,3,2,null,6,4,5,null,null,null,null,8,7] Output: true Explanation: We flipped at nodes with values 1, 3, and 5.
Example 2:
Input: root1 = [], root2 = [] Output: true
Example 3:
Input: root1 = [], root2 = [1] Output: false
Constraints:
- The number of nodes in each tree is in the range
[0, 100]
. - Each tree will have unique node values in the range
[0, 99]
.
Python
# time complexity: O(n)
# space complexity: O(n)
from typing import Optional
class TreeNode:
def __init__(self, val=0, left=None, right=None):
self.val = val
self.left = left
self.right = right
def traverse(node):
if node is None:
return
if node.val:
print(node.val)
if node.left:
traverse(node.left)
if node.right:
traverse(node.right)
class Solution:
def flipEquiv(self, root1: Optional[TreeNode], root2: Optional[TreeNode]) -> bool:
if not root1 and not root2:
return True
if not root1 or not root2:
return False
if root1.val != root2.val:
return False
return (self.flipEquiv(root1.left, root2.left) and self.flipEquiv(root1.right, root2.right)) or (self.flipEquiv(root1.left, root2.right) and self.flipEquiv(root1.right, root2.left))
root1 = TreeNode(1)
root1.left = TreeNode(2)
root1.right = TreeNode(3)
root1.left.left = TreeNode(4)
root1.left.right = TreeNode(5)
root1.right.left = TreeNode(6)
root1.left.right.left = TreeNode(7)
root1.left.right.right = TreeNode(8)
root2 = TreeNode(1)
root2.left = TreeNode(3)
root2.right = TreeNode(2)
root2.left.right = TreeNode(6)
root2.right.left = TreeNode(4)
root2.right.right = TreeNode(5)
root2.right.right.left = TreeNode(8)
root2.right.right.right = TreeNode(7)
print(Solution().flipEquiv(root1, root2))