
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Points \( A \) and \( B \), located on a circular alley, are connected by a straight road segment 4 km long, which is the diameter of the circular alley. A pedestrian left home at point \( A \) for a walk along the alley. After walking for 1 hour, he realized he had forgotten his keys and asked a neighbor-cyclist to bring them. What is the minimum time in which he can receive the keys, if the cyclist's speed is 15 km/h on the road, 20 km/h on the alley, and the pedestrian's speed is 7 km/h? The pedestrian can walk towards the cyclist.

Present the answer in LaTex format: \boxed{Your answer}
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