
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 that \( a \neq 0, S_{1}=a, S_{2}=\frac{2}{S_{1}}, \cdots, S_{2018}=\frac{2}{S_{2017}} \), express \( S_{2018} \) in terms of \( a \).

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