
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 a natural number \( n > 1 \), perform the following operation: if \( n \) is even, divide it by two; if \( n \) is odd, add 5 to it. If the number obtained after this operation is 1, stop the process; otherwise, continue applying the same operation repeatedly. Determine all values of \( n \) for which this process is finite, meaning it reaches 1 at some point.

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