
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 mythical creature has 10 legs, and for each leg, it has one sock and one shoe. In how many different orders can the creature put on its socks and shoes, assuming that, on each leg, the sock must be put on before the shoe?

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