
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
Yang has the sequence of integers \(1,2, \ldots, 2017\). He makes 2016 swaps in order, where a swap changes the positions of two integers in the sequence. His goal is to end with \(2,3, \ldots, 2017,1\). How many different sequences of swaps can Yang do to achieve his goal?

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