
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
Petya runs from the fourth floor to the first floor 2 seconds faster than his mother rides the elevator. His mother rides the elevator from the fourth floor to the first floor 2 seconds faster than Petya runs from the fifth floor to the first floor. How many seconds does it take Petya to run from the fourth floor to the first floor? (The lengths of the stairway flights between all floors are the same).

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