
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
Nikita and Egor run along a circular track, starting from the same point in opposite directions. It is known that Nikita completes a lap 12 seconds faster than Egor, but still takes more than 30 seconds to do so. They met at the starting point for the seventh time after they began running. What is the time it takes each of them to complete a lap?

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