
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
Jane draws a regular six-pointed star (two overlapping equilateral triangles) in the sand, and at each of the 6 outward-pointing points, she places one of six different colorful stones. How many ways can she place the stones, if reflections and rotations of an arrangement are considered equivalent?

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