
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 the function $f(x)$ can be represented by a list as shown below, then the value of $f[{10f({\frac{1}{2}})}]$ is ____.

| $x$ | $x\leqslant 1$ | $1 \lt x \lt 2$ | $x\geqslant 2$ |
|-----|----------------|-----------------|---------------|
| $f\left(x\right)$ | $1$ | $2$ | $3$ |

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