
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 \\({{(1-2x)}^{2018}}={{a}_{0}}+{{a}_{1}}x+\cdots +{{a}_{2018}}{{x}^{2018}}(x\in \mathbb{R})\\), then the value of \\(\dfrac{{a}_{1}}{2}+\dfrac{{a}_{2}}{{2}^{2}}+\cdots +\dfrac{{a}_{2018}}{{2}^{2018}}\\) is __________.

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