Two Sum BSTs — LeetCode 1214 Python Solution

MediumLeetCode PremiumStackTreeDepth-First SearchBinary Search TreeTwo PointersBinary SearchBinary Tree
Problem
#1214
Pattern
Stack
Reading time
5 min

The problem

Given the roots of two binary search trees, root1 and root2, return true if and only if there is a node in the first tree and a node in the second tree whose values sum up to a given integer target.

Example

Input
root1 = [2,1,4], root2 = [1,0,3], target = 5
Output
true
Explanation
2 and 3 sum up to 5.

Python solution

Python
# 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 twoSumBSTs(
        self, root1: Optional[TreeNode], root2: Optional[TreeNode], target: int
    ) -> bool:
        def dfs(root: Optional[TreeNode], i: int):
            if root is None:
                return
            dfs(root.left, i)
            nums[i].append(root.val)
            dfs(root.right, i)

        nums = [[], []]
        dfs(root1, 0)
        dfs(root2, 1)
        i, j = 0, len(nums[1]) - 1
        while i < len(nums[0]) and ~j:
            x = nums[0][i] + nums[1][j]
            if x == target:
                return True
            if x < target:
                i += 1
            else:
                j -= 1
        return False

Complexity

MeasureComplexity
TimeO(m + n)
SpaceO(m + n) auxiliary

Pattern: Stack

When the most recent unresolved thing is the one that matters, use a stack. LeetCode 1214. Two Sum BSTs is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Stack.

The stack guide has the Python template for the pattern and the 194 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 1214. Two Sum BSTs?
LeetCode 1214. Two Sum BSTs is rated Medium on LeetCode.
What is the time complexity of LeetCode 1214. Two Sum BSTs?
The Python solution on this page runs in O(m + n).
What is the space complexity of LeetCode 1214. Two Sum BSTs?
The Python solution on this page uses O(m + n) auxiliary space.
What topics does LeetCode 1214. Two Sum BSTs cover?
LeetCode 1214. Two Sum BSTs is tagged Stack, Tree, Depth-First Search, Binary Search Tree, Two Pointers, Binary Search and Binary Tree on LeetCode.
Is LeetCode 1214. Two Sum BSTs a premium problem?
Yes. LeetCode 1214. Two Sum BSTs is a LeetCode Premium problem, so the full statement and test cases require a paid LeetCode subscription.

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