
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
Let \( N > 1 \) be an integer, and \( 1 = d_1 < d_2 < \cdots < d_s = N \) be all the positive divisors of \( N \). It is known that
\[ (d_1, d_2) + (d_2, d_3) + \cdots + (d_{s-1}, d_s) = N - 2. \]
Find all possible values of \( N \).

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