
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 lighthouse keeper of Finisterre has been informed that there will be a power outage and must operate the lighthouse using a diesel-powered generator. This generator consumes 6 liters of diesel per hour and an additional half liter every time it is started (initially, it is turned off). During the exact 10 hours that the night will last, the lighthouse cannot stop operating for more than 10 consecutive minutes. And when it operates, it must do so for at least 15 consecutive minutes. How many liters of diesel are needed, at a minimum, to comply with the lighthouse's operating rules?

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