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Applying Node Expansion in a Reasoning Task

A reasoning system is solving the following problem: 'If a train leaves City A at 2 PM traveling at 60 mph, and City B is 150 miles away, what time will it arrive?' The system has generated the first step of its reasoning path: 'Step 1: Calculate the total travel time by dividing distance by speed.'

Describe the 'node expansion' process that would occur at this stage. Specifically, what is the role of the language model, and what is a likely output it would generate to create a new, longer candidate path?

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Updated 2025-10-05

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