MediumNo. 0951

Flip Equivalent Binary Trees — LeetCode 951 Python Solution

Topics
Tree, Depth-First Search, Binary Tree
Reading time
3 min

The problem

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.

Example

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.

Python solution

PythonSolution
# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution:
    def flipEquiv(self, root1: Optional[TreeNode], root2: Optional[TreeNode]) -> bool:
        def dfs(root1, root2):
            if root1 == root2 or (root1 is None and root2 is None):
                return True
            if root1 is None or root2 is None or root1.val != root2.val:
                return False
            return (dfs(root1.left, root2.left) and dfs(root1.right, root2.right)) or (
                dfs(root1.left, root2.right) and dfs(root1.right, root2.left)
            )

        return dfs(root1, root2)

Complexity

Time
O(V+E)
Space · auxiliary
O(V)

Pattern: Tree Traversal

Choose the order — preorder, inorder, postorder, level — and the problem solves itself. LeetCode 951. Flip Equivalent Binary Trees is filed here because LeetCode tags it Tree and Binary Tree, which is the vocabulary this hub collects.

The tree traversal guide has the Python template for the pattern and the 225 LeetCode problems that use it.

Related problems

Related problems
No.ProblemDifficulty
0098Validate Binary Search TreeMedium
0099Recover Binary Search TreeMedium
0100Same TreeEasy
0101Symmetric TreeEasy
0104Maximum Depth of Binary TreeEasy
0110Balanced Binary TreeEasy

Frequently asked questions

How hard is LeetCode 951. Flip Equivalent Binary Trees?

LeetCode 951. Flip Equivalent Binary Trees is rated Medium on LeetCode.

What is the time complexity of LeetCode 951. Flip Equivalent Binary Trees?

The Python solution on this page runs in O(V+E).

What is the space complexity of LeetCode 951. Flip Equivalent Binary Trees?

The Python solution on this page uses O(V) auxiliary space.

What topics does LeetCode 951. Flip Equivalent Binary Trees cover?

LeetCode 951. Flip Equivalent Binary Trees is tagged Tree, Depth-First Search and Binary Tree on LeetCode.

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