algorithmsEASYALGORITHM TRACING
Warm up with dynamic programming budget planner
Easy Algorithms arena: 0/1 knapsack, state compression, and reconstruction
XP reward
105
Coins
9
Target time
21m
A team must choose training modules under a fixed weekly time budget. You are working inside an algorithm arena, and the arena only clears when the result is safe, deterministic, and explainable.
Learning objective
Learn to apply 0/1 knapsack, state compression, and reconstruction in an algorithm arena while explaining the invariant, safety constraints, and hidden edge cases.
Mission order
Modules have time cost, XP value, and category labels. Implement the direct solution first, then document the one edge case that can break it. Submit the solution plus enough reasoning to pass hidden edge cases.Visible checks
sample case
Expected: 2
empty input
Expected: 0
Clear requirements
- Demonstrates 0/1 knapsack, state compression, and reconstruction
- Handles the visible sample and hidden edge cases
- Keeps output deterministic and explainable
- Avoids unsafe dynamic execution
Secure validation contract
Judge type
ALGORITHM TRACING
Complexity target
Readable O(n) or O(n log n) baseline
Workspace
Code editor
pythonsafe mock judge
Charging editor core
Test Results
Run the visible checks when your first pass is ready.
Clear Protocol
1Read the scenario and restate the expected output shape.
2Run visible checks before chasing hidden edge cases.
3Use Genie for one nudge if stuck, then explain the invariant.
4Submit only when the result is deterministic and safe.
Rewards
XP
105
Coins
9
Mission Route
Hints
Hints are metered and logged for No Hint Hero runs.
Genie Mentor Core
Hint protocol / contextual guardrails active
Progressive hints
Failed-test aware
Solution guarded
Mission: algorithms-easy-dp-budget0 attempts0 failed tests0 hints used
Progressive hint depth
Genie: Genie online. I use your mission, attempts, failed tests, hints, and path context to coach the next rep without dumping answers first.