CustomCC0-1.0#ct-p6-022350
Directed Move Grundy
Summary
- •Phase 6 / game-theory
- •Reasoning-first competitive programming drill
Problem Description
Given directed game graph, each position has outgoing moves. For each query start node, decide winner and report Grundy value.
How to read this problem in plain language:
- This is a Phase 6 reasoning drill focused on game-theory.
- Typical lenses to test first: game-theory, grundy, dp.
- Constraints reminder: n,m,q <= 2e5
Mini examples for mental simulation:
1) Boundary example: No moves => grundy 0. Explain expected behavior and why naive logic may fail.
2) Adversarial example: Mex should skip duplicates. Explain expected behavior and why naive logic may fail.
Lite-mode writing target:
- Write 1~2 observations that shrink the search space.
- Name one final algorithm and state target complexity explicitly.
- Validate with at least 2 edge cases and one hand simulation.
Constraints
- •n,m,q <= 2e5
Analysis
Key Insight
Quantifying complexity against constraints is mandatory for selecting the final approach and rejecting brute force formally.
game-theorygrundydp