
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
Meteorological records for a certain area indicate that during a certain period of time, there was 1 day of continuous rain; 9 days when it rained during the day and was clear at night or was clear during the day and rained at night; 6 clear nights and 7 clear days. Find the total number of days in this period as well as the number of fully clear days.

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