Advanced~3h
1D Dynamic Programming in Data Structures & AlgorithmsInterview Readiness Check
Optimal substructure in one dimension — house robber, coin change, climbing stairs, Fibonacci variants.
memoizationtabulationFibonaccihouse robbercoin changeLIS
Learning path
Try a sample question
Climbing stairs: you can climb 1 or 2 steps. How many distinct ways to reach step n? This has the Fibonacci structure. Why is memoization/DP needed over plain recursion?
A.Recursion gives the wrong answer for large n
B.Recursion can't handle steps of size 2
C.Plain recursion recomputes the same subproblems exponentially — f(n) calls f(n-1) and f(n-2), each recomputing overlapping subproblems. DP stores results so each subproblem is solved once.
D.DP uses less stack space than recursion
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What this module tests
- Conceptual understanding of 1d dynamic programming fundamentals
- Trade-offs and design decisions in real system scenarios
- memoization and tabulation — applied knowledge
- Interview-style reasoning and explanation quality
Free to start
Take the 1D Dynamic Programming check →
10 questions · Dimension scoring · AI coach feedback · Shareable result
Test your knowledge — free →No credit card · Takes 10–15 min
Frequently asked questions
- What does the 1D Dynamic Programming check test?
- The check covers optimal substructure in one dimension — house robber, coin change, climbing stairs, fibonacci variants. Questions span beginner to advanced difficulty and test both conceptual understanding and practical trade-off reasoning.
- What keywords should I know for 1D Dynamic Programming?
- Key concepts include: memoization, tabulation, Fibonacci, house robber, coin change, LIS. These frequently appear in data structures & algorithms interviews at product and infrastructure companies.
- How many questions are in the check?
- Each check has 10 questions — a mix of MCQ and short-answer. You get scored by dimension (e.g., scalability, consistency) so you know exactly where to focus.
- How long does it take to study 1D Dynamic Programming?
- Most engineers spend around 3 hours on this module. The check itself takes about 10–15 minutes. You can retake it up to 3 times per day.
- What prerequisite knowledge do I need before 1D Dynamic Programming?
- 1D Dynamic Programming builds on Backtracking. Complete those first for the best results.
- Is memoization, tabulation, Fibonacci covered?
- Yes. The 1D Dynamic Programming module covers memoization, tabulation, Fibonacci among other key concepts. The check includes questions that reflect real data structures & algorithms interview patterns.