
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
A function \( f \) satisfies the equation \((n - 2019) f(n) - f(2019 - n) = 2019\) for every integer \( n \).
What is the value of \( f(2019) \)?
A) 0
B) 1
C) \(2018 \times 2019\)
D) \(2019^2\)
E) \(2019 \times 2020\)

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