
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
Regular decagon \( Q_1 Q_2 \dotsb Q_{10} \) is drawn in the coordinate plane with \( Q_1 \) at \((2,0)\) and \( Q_6 \) at \((4,0)\). If \( Q_n \) is the point \((x_n, y_n)\), compute the numerical value of the product
\[
(x_1 + y_1 i)(x_2 + y_2 i)(x_3 + y_3 i) \dotsm (x_{10} + y_{10} i).
\]

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