
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
A wise man S was informed of the sum of three natural numbers, and a wise man P was informed of their product.  
- "If I knew," said S, "that your number is greater than mine, I would immediately name the three sought numbers."  
- "My number is less than yours," replied P, "and the sought numbers are ..., ... and ... ."  

What numbers did P name?

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