
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
Neznaika wrote several different natural numbers on the board and divided (in his mind) the sum of these numbers by their product. After that, Neznaika erased the smallest number and divided (again in his mind) the sum of the remaining numbers by their product. The second result turned out to be 3 times larger than the first. What number did Neznaika erase?

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