
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 $f(x)= \frac{x+a}{x+b}$ is such that $f(x)+f\left( \frac{1}{x} \right)=0$ for any $x$ within its domain, then $a^{2018}+b^{2018}=$_______.

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