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Artificial Intelligence / Unit 2   AI 0083 short lesson, about 20 seconds

The Fewest-Steps Guarantee

Captions available

The idea

Breadth-first search is guaranteed to find a solution with the fewest steps, because the queue serves paths strictly in length order.

In practice

On Riverbend it returns a three-road route to Grandmother's, and no shorter route exists.

Where people slip

The guarantee is structural, not lucky — every shorter candidate is tried and exhausted first.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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