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How to Solve Vertical Order Traversal of a Binary Tree Problem
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LeetCode ProblemVertical Order Traversal of a Binary Tree
Given the root of a binary tree, calculate the vertical order traversal of the binary tree. For each node at position (row, col), its left and right children will be at positions (row + 1, col - 1) and (row + 1, col + 1) respectively. The root of the tree is at (0, 0). The vertical order traversal of a binary tree is a list of top-to-bottom orderings for each column index starting from the leftmost column and ending on the rightmost column. There may be multiple nodes in the same row and same column. In such a case, sort these nodes by their values. Return the vertical order traversal of the binary tree.
Hash TableTreeDepth-First SearchBreadth-First SearchSortingBinary Tree
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Problem Breakdown
Understanding the Vertical Order Traversal of a Binary Tree Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
Given the root of a binary tree, calculate the vertical order traversal of the binary tree. For each node at position (row, col), its left and right children will be at positions (row + 1, col - 1) and (row + 1, col + 1) respectively. The root of the tree is at (0, 0). The vertical order traversal of a binary tree is a list of top-to-bottom orderings for each column index starting from the leftmost column and ending on the rightmost column. There may be multiple nodes in the same row and same column. In such a case, sort these nodes by their values. Return the vertical order traversal of the binary tree.
HardProblem #987
LeetCodeVertical Order Traversal of a Binary Tree
Related Topics
Hash TableTreeDepth-First SearchBreadth-First SearchSortingBinary Tree
How Phantom Code Helps
Get real-time assistance for Vertical Order Traversal of a Binary Tree problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
root = [3,9,20,null,null,15,7]
Output
[[9],[3,15],[20],[7]]
# Example 2
Input
root = [1,2,3,4,5,6,7]
Output
[[4],[2],[1,5,6],[3],[7]]
# Example 3
Input
root = [1,2,3,4,6,5,7]
Output
[[4],[2],[1,5,6],[3],[7]]
Constraints
The number of nodes in the tree is in the range [1, 1000].
0 <= Node.val <= 1000
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Solve Vertical Order Traversal of a Binary Tree — Given the root of a binary tree, calculate the vertical order traversal of the b...
Here's the optimal approach using Hash Table:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Vertical Order Traversal of a Binary Tree and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Vertical Order Traversal of a Binary Tree during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
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Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Vertical Order Traversal of a Binary Tree?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Vertical Order Traversal of a Binary Tree type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Vertical Order Traversal of a Binary Tree interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
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No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code help when I'm struggling with Vertical Order Traversal of a Binary Tree style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code work for the coding platforms used in Vertical Order Traversal of a Binary Tree interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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