
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 that $x > 0$, observe the following expressions: $$x+ \frac {1}{x}\geqslant 2, x+ \frac {4}{x^{2}}\geqslant 3, x+ \frac {27}{x^{3}}\geqslant 4, x+ \frac {256}{x^{4}}\geqslant 5,…$$ By analogy, we have $$x+ \frac {a}{x^{2016}}\geqslant 2017, \text{where } a= \_\_\_\_\_\_ \cdot $$

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