π WAYPOINT LESSON
Checkpoint β Collapse, Then Walk
βββ advancedβ³ 20 min readπ Lesson 261 of 281
The fusion executed at scale: collapse cycles into components, then DP the condensation. A DAG-assuming DP inflates cyclic inputs β that inflation is the graded failure.
Δiα»m kiα»m tra β CΓ΄ ΔαΊ·c, rα»i Δi. One-way corridors with coins, cycles allowed, n β€ 200000. The correct route: find strongly connected components, bank each component's coins, then DP over the condensation. The plausible wrong answer runs a longest-path DP assuming a DAG β on cyclic inputs it double-counts. Deterministic wrong-side failure, verified.