
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
For any positive integer \( n \), let \( D_{n} \) be the set of all positive divisors of \( n \), and let \( f_{i}(n) \) (for \(i=0,1,2,3\)) be the cardinality of the set
$$
F_{i}(n)=\left\{a \in D_{n} \mid a \equiv i(\bmod 4)\right\}.
$$

Find the smallest positive integer \( m \) such that
$$
f_{0}(m)+f_{1}(m)-f_{2}(m)-f_{3}(m)=2017.
$$

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