
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 the function $f(x)=\begin{cases} 2(1-x), & 0\leqslant x\leqslant 1 \\ x-1, & 1 < x\leqslant 2 \end{cases}$, if for any $n\in\mathbb{N}^{*}$, we define $f_{n}(x)=f\{f[f…f$ (with $n$ times of $f$) $(x)]\}$, calculate the value of $f_{2018}(2)$.

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