
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
Around a round table sit  $2n$  Peruvians,  $2n$  Bolivians and  $2n$  Ecuadorians. If it is requested that all those who have as neighbors, to their right and to their left, people of the same
nationality. Find as many people as can stand up.
Clarification: For example, for a Peruvian to get up, his neighbors must be of equal nationality, but not necessarily Peruvians.

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