
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 the campfire, eight natives from four tribes are sitting in a circle. Each native tells their neighbor to the left: "If you don't count us, there is no one from my tribe here." It is known that natives lie to outsiders and tell the truth to their own. How many natives can there be from each tribe?

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