
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
The homes of Andrey, Borya, Vova, and Gleb are located in a certain order on a straight street. The distance between Andrey's and Borya's homes, as well as the distance between Vova's and Gleb's homes, is 600 meters. What can be the distance in meters between Andrey's and Gleb's homes if it is known that this distance is 3 times the distance between Borya's and Vova's homes? Indicate all possible options.

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