
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
Two painters are painting a 15-meter corridor. Each starts from the beginning of the corridor and moves toward the end, beginning to paint when they reach a specific point, and continuing until their paint runs out. The first painter has enough red paint to cover 9 meters of the corridor; the second has yellow paint sufficient to cover 10 meters.

The first painter starts painting when he is 2 meters from the beginning of the corridor, and the second painter finishes painting when he is 1 meter from the end of the corridor. How many meters of the corridor are painted with exactly one layer?

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