
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
Sasha chose a natural number \( N > 1 \) and wrote down all of its natural divisors in ascending order: \( d_{1}<\ldots<d_{s} \) (such that \( d_{1}=1 \) and \( d_{s}=N \)). Then for each pair of adjacent numbers, he calculated their greatest common divisor; the sum of the \( s-1 \) resulting numbers turned out to be equal to \( N-2 \). What values could \( N \) take?

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