
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
Given that a student observed the weather during a holiday of $n$ days, it rained 7 times, either in the morning or in the afternoon, and no day had both rain in the morning and afternoon, with exactly 5 afternoons that were sunny and exactly 6 mornings that were sunny, determine the minimum value of $n$.

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