
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 the function \( f(x) \) that satisfies the following condition:

\[ 
f(x y+1) = f(x) f(y) - f(y) - x + 2
\]

What is the value of \( f(2017) \), given that \( f(0) = 1 \)?

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