
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
The sequence $\left\{x_{n}\right\}$ is defined by $x_{n}=\frac{n}{n+2016}$. If $x_{2016}=x_{m} \cdot x_{n}$, find a pair of positive integers $\{m, n\}=$.

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