
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
Three cyclists, Dima, Misha, and Petya, simultaneously started a 1 km race. When Misha finished, Dima still had one-tenth of the distance left to cover. When Dima finished, Petya still had one-tenth of the distance left to cover. What was the distance (in meters) between Petya and Misha when Misha finished? (The cyclists ride at constant speeds).

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