
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 $f(x)= \begin{cases} |\log_{3}x|, & 0 < x < 3 \\ -cs( \frac {π}{3}x), & 3\leqslant x \leqslant 9 \end{cases}$, if real numbers $x_1$, $x_2$, $x_3$, $x_4$ satisfy $f(1)=(x_2=f(x_3=f(x_4), find the range of $x_1 \cdot 2 \cdot x_3 \cdot x_4$.

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