
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 park is in the shape of a regular hexagon $3$ km on a side. Starting at a corner, Alice walks along the perimeter of the park for a distance of $10$ km. How many kilometers is she from her starting point?

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