
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
Determine the value of \\((1-i)^{2016}+(1+i)^{2016}\\), where $i$ is the imaginary unit.

A) $2^{1008}$
B) $2^{1009}$
C) $0$
D) $2^{2016}$

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