LC 42
Trapping Rain Water
Hard · LC 1–100
Candidate solution routes
Monotonic Stack for Nearest Greater/Smaller
Invariant: Stack indexes increase, their values are monotone in the chosen direction, and every stored index has not yet encountered a right-side item that resolves it.
candidate confidence: 0.700 · metadata_only
Stack-Based State Simulation
Invariant: After each input prefix, frames from bottom to top are exactly the unfinished contexts in opening order, and the top is the only context directly affected next.
candidate confidence: 0.488 · metadata_only
Linear dynamic programming
Invariant: After processing i, every state through i equals the true value under its definition, and every future transition reads only these finalized states.
candidate confidence: 0.470 · metadata_only
How to use this page
Read the statement and constraints first, then validate recognition signals, invariant, and complexity. Candidate score is not correctness evidence.