
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 \\({{\\left( 1-2x \\right)}^{2018}}={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+...+{{a}_{2018}}{{x}^{2018}}\\left( x\in \mathbb{R} \\right)\\), find the value of \\(\dfrac{{{a}_{1}}}{2}+\dfrac{{{a}_{2}}}{{{2}^{2}}}+\dfrac{{{a}_{2018}}}{{{2}^{2018}}}\).

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