
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
Alice wrote several positive integers. Sasha copied these numbers and added one integer that is less than all of Alice's numbers. Each of them found the sum and product of their respective sets of numbers and divided the sum by the product. Sasha's result was 5 times less than Alice's. What number could he have added?

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