
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
In a family photo album, there are 10 photos, each showing 3 people: a man in the center, his son on the left, and his brother on the right. Given that the 10 men in the center of the 10 photos are all different, what is the minimum number of different people in these photos?

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