CustomCC0-1.0#ct-p5-012200
Subset Route Compression
Summary
- •Phase 5 / advanced-dp
- •Reasoning-first competitive programming drill
Problem Description
Given 2k special nodes in weighted graph, find minimum cost pairing paths that do not share edges.
How to read this problem in plain language:
- This is a Phase 5 reasoning drill focused on advanced-dp.
- Typical lenses to test first: bitmask-dp, shortest-path, matching.
- Constraints reminder: k <= 10, n <= 1e5
Mini examples for mental simulation:
1) Boundary example: Unreachable pair should propagate INF.
2) Adversarial example: Single pair direct answer. 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
- •k <= 10, n <= 1e5
Analysis
Key Insight
Feasible because k <= 10. This step should reduce search space or formalize correctness. State why this insight changes your algorithm choice.
bitmask-dpshortest-pathmatching