Dynamic Programming on array
Last updated: January 20, 2026
Quick Overview
Apply the DFS algorithm on a array to solve this optimization problem.
Spotify
Coding & Algorithms
Software Engineer
Spotify
January 20, 2026Software Engineer
Onsite
Coding & Algorithms
Easy
12
4
1,885 solved
Apply the DFS algorithm on a array to solve this optimization problem.
Coding interviews at Spotify 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
- Identify the correct data structure and algorithm for the problem
- Write clean, bug-free code with proper variable naming
- Analyze time and space complexity correctly
- Handle basic edge cases (empty input, single element)
- Communicate your thought process while coding
Key Topics to Cover
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
Time and space complexity analysis
Data structure selection and trade-offs
Graph algorithms and traversal
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 solve this in a single pass?
- What happens if the input contains duplicates?
- How would your solution change if the input was sorted?
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Practice DSA ProblemsSample Answer
Problem Analysis
The problem requires us to optimize a solution using the DFS (Depth-First Search) algorithm on an array. The core pattern here is a recursive exploration of potential solutions, which is typical for o...
Approach
- Define the Problem: Suppose we have an array of numbers and we need to find the maximum sum we can achieve by selecting non-adjacent elements.
- Recursive Function: We will create a recurs...
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