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Fewest Hops

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Problem context and objectives
Mission briefing

Expedition navigator · Safe camps and hazards form a connected world map

Find a valid route while marking every place already explored: Fewest Hops.

Without visited state, the party loops forever or revisits expensive terrain.

How you win

  1. 1Recognize when Unweighted shortest path by BFS matches the clues
  2. 2Keep this true after every move: every queued node has its shortest distance and all earlier queue entries are no farther away
  3. 3Reach the result within O(V + E) time and O(V) space

Rules and pressure

  • Target cost: O(V + E) time and O(V) space
  • State rule: every queued node has its shortest distance and all earlier queue entries are no farther away

New words in this mission

Open a term for a plain-language explanation.
durable queue+

A waiting line that keeps work until a consumer finishes it. It absorbs bursts and lets failed work be retried.

Lesson 1 of 3

Freeze the frontier as one distance ring and expand the complete ring together.

Your call · Why must node 3 wait until the complete distance-1 frontier [1, 2] is processed?

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