Interactive Algorithm Paradigms & Corner Cases

Trapping Rain Water

Two Pointers — Elevation Basin Invariant

Time: O(N) Space: O(1) Two Pointers

💡 Core Invariant:

Scene

Explanation

🛡️ Formal Invariant Guarantee ("Why is this safe?")

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1. Decision Rule

2. Limiting Bottleneck

3. Invariant Proof

🤔 Bug: "Couldn't an unseen element change this?"

🧑 Algo: "No. The bounding invariant guarantees safety."

Source Code C#

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