
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
If \((1-3x)^{2016} = a_{0} + a_{1}x + a_{2}x^{2} + \ldots + a_{2016}x^{2016} (x \in R)\), calculate the value of \(\frac{a_{1}}{3} + \frac{a_{2}}{3^{2}} + \ldots + \frac{a_{2016}}{3^{2016}}\).

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