
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 spider is making a web between \( n > 1 \) distinct leaves which are equally spaced around a circle. The spider chooses a leaf to start at, and to make the base layer of the web it travels to each leaf one at a time, making a straight line of silk between each consecutive pair of leaves. No two of the lines of silk cross each other, and the spider visits every leaf exactly once. In how many ways can the spider make the base layer of the web? Express your answer in terms of \( n \).

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