
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 (1 - 2x)^{2016} = a_{0} + a_{1}x + a_{2}x^{2} + \ldots + a_{2016}x^{2016}, determine the value of (a_{0} + a_{1}) + (a_{0} + a_{2}) + (a_{0} + a_{3}) + \ldots + (a_{0} + a_{2016}).

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