Implement Segment Tree with without recursion
Last updated: September 7, 2025
Quick Overview
Implement a Segment Tree data structure without using recursion. Your implementation should support the following operations: building the tree from an array, updating an element, and querying the sum of a range of elements. The input will consist of an array of integers, and the output for the query operation should return the sum of the specified range.
Notion
September 7, 202547
11
3,202 solved
Implement a Segment Tree data structure without using recursion. Your implementation should support the following operations: building the tree from an array, updating an element, and querying the sum of a range of elements. The input will consist of an array of integers, and the output for the query operation should return the sum of the specified range.
Notion uses this problem in the Technical 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
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
- How would your solution change if the input was sorted?
- Can you solve this in a single pass?
- Can you optimize the space complexity of your solution?
- How would you test this solution thoroughly?
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Practice DSA ProblemsSample Answer
Problem Analysis
The problem requires us to implement a Segment Tree without recursion to support three operations: building the tree, updating an element, and querying the sum of a range. The segment tree is a perfec...
Approach
- Building the Segment Tree: Create an array
treewhere the size is 2 * n (where n is the size of the input array) to hold the segment tree. The first half of thetreearray will hold the ele...
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