Transform linked list to tree
Last updated: September 2, 2025
Quick Overview
Given a singly linked list, transform it into a balanced binary search tree (BST) such that the elements of the linked list are represented in sorted order in the tree. The input is the head of the linked list, and the output should be the root node of the resulting BST. Ensure that the transformation maintains the properties of a binary search tree and is optimized for time complexity.
Capital One
September 2, 202537
6
470 solved
Given a singly linked list, transform it into a balanced binary search tree (BST) such that the elements of the linked list are represented in sorted order in the tree. The input is the head of the linked list, and the output should be the root node of the resulting BST. Ensure that the transformation maintains the properties of a binary search tree and is optimized for time complexity.
Coding interviews at Capital One focus on problem-solving approach as much as the final solution. The interviewer wants to see you break down the problem, consider edge cases, and optimize iteratively. Communication throughout the process is key.
What the Interviewer Expects
- Quickly identify the optimal approach and its theoretical basis
- Handle complex algorithm design with multiple interacting components
- Write concise, elegant code under time pressure
- Prove correctness of your approach and discuss alternative solutions
- Optimize beyond the obvious: discuss constant factor improvements
- Address follow-up variations and explain how the solution generalizes
Key Topics to Cover
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
- What if the input doesn't fit in memory?
- What happens if the input contains duplicates?
- What is the worst-case input for your solution?
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Problem Analysis
To transform a singly linked list into a balanced binary search tree (BST), we need to ensure that the elements from the linked list are represented in sorted order in the tree. The key observation is...
Approach
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Count the Length of the Linked List: First, traverse the linked list to determine its length. This will help in identifying the middle node during the construction of the BST.
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**Recursiv...
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