
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
A dragonfly starts from the origin. It flies 1 inch due east to point $Q_1$. For $k \geq 1$, once the dragonfly lands at $Q_k$, it turns $60^{\circ}$ counterclockwise and then flies $2^k$ inches straight to reach point $Q_{k+1}$. When the dragonfly reaches $Q_{18}$, how far from the starting point is it, in inches?

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