
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
12 Smurfs are sitting around a circular table. Each Smurf dislikes the 2 Smurfs sitting next to them, but does not dislike the remaining 9 Smurfs. Papa Smurf needs to form a team of 5 Smurfs to rescue Smurfette, who was captured by Gargamel. No team should include any Smurfs who dislike each other. How many ways can this team be formed?

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