compression on Binary Tree
Last updated: February 2, 2026
Quick Overview
Perform a partitioning on a binary tree and return the result.
Goldman Sachs
Coding & Algorithms
Software Engineer
Goldman Sachs
February 2, 2026Software Engineer
Phone Screen
Coding & Algorithms
Medium
131
4
1,596 solved
Perform a partitioning on a binary tree and return the result.
Goldman Sachs uses this problem in the Phone Screen to evaluate your algorithmic thinking. They expect you to discuss multiple approaches, analyze trade-offs between them, and implement the optimal solution with clean, readable code.
What the Interviewer Expects
- Recognize the underlying problem pattern (sliding window, two pointers, BFS/DFS, etc.)
- Discuss multiple approaches and trade-offs before coding
- Implement an optimal solution with clean, production-quality code
- Handle all edge cases including boundary conditions and invalid input
- Optimize both time and space complexity with clear justification
- Test your solution systematically with well-chosen examples
Key Topics to Cover
Hash maps and frequency counting
Sorting and searching
Edge cases and input validation
Dynamic programming and memoization
Tree structures and recursion
How to Approach This
- Clarify input constraints and edge cases before writing code.
- Walk through your approach verbally and confirm with the interviewer before coding.
- Start with a brute force solution, then optimize. Mention time and space complexity.
- Test your solution with examples, including edge cases like empty input or duplicates.
- Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
- Can you optimize the space complexity of your solution?
- How would you modify your solution to handle streaming input?
- How would you parallelize this solution?
- Can you solve this in a single pass?
Sharpen Your Skills on Codemia
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Practice DSA ProblemsSample Answer
Problem Analysis
To solve the problem of partitioning a binary tree, we first need to recognize the structure of the tree and the potential relationships between the nodes. Here, recursion is a fitting approach becaus...
Approach
- Define a recursive function that traverses the binary tree. This function will take a node as an argument and will return a list of nodes that meet the partitioning criteria.
- **Base Case:*...
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