
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

Four French people, two representatives from the Republic of Côte d'Ivoire, three English people, and four Swedish people gathered at a conference to discuss forestry issues. At the opening ceremony, participants from the same country sat next to each other on a 13-seat bench. Later, at the working sessions, they sat at a round 13-seat table.

How many different ways can the conference participants sit next to each other in each of these two cases?

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