
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
In the center of a circular field, there is a geologists' house. From it, 8 straight roads extend, dividing the field into 8 equal sectors. Two geologists set out on a journey from their house at a speed of 5 km/h on roads each has randomly chosen. Determine the probability that the distance between them after an hour will be more than 8 km.

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