Basic Framework
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LeetCode Card 333 — Shortest Paths / Structure

Shortest Paths — BASIC step map

Pattern signal

This pattern usually appears when the prompt involves weighted path optimization or repeated frontier relaxation. Network Delay Time, Cheapest Flights Within K Stops, Dijkstra-like routing, and graph cost problems use this family.

Patterns are shortcuts, not substitutes for reasoning.

What Structure means here

In BASIC, the Structure step is where you state the invariant, helper contract, or control-flow skeleton before coding. For Shortest Paths, that matters because the pattern only becomes useful once the candidate is explicit about what is being tracked, reduced, or preserved.

Interview move

A strong move is to make the plan visible before full execution. In this pattern family, say out loud what representation makes the problem easier: the map entry, the pointer invariant, the recursion contract, the queue contents, or the DP state. That keeps the implementation attached to a reason.

Common miss

Candidates confuse unweighted BFS with weighted shortest-path logic. BASIC reduces that risk because the stage sequence forces you to earn the implementation instead of jumping straight into it.

BASIC prompt

“Given that this looks like Shortest Paths, what is the simplest way to state the invariant, helper contract, or control-flow skeleton before coding?”

From the research
Cognitive science calls this 'externalization' — moving the plan out of your head and into a visible format. It reduces working memory load and makes your reasoning inspectable. Both of those are directly valuable in an interview setting.

References

S10 S12 S13

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