
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
Harry, Ron, Neville, and Hermione are having a broomstick race. Ron and Hermione have promised not to finish at the same position, and there are no ties between any participants. In how many different possible orders can they finish, adhering to the mentioned constraint?

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