
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
Vasya thought of a two-digit number and told Petya the product of the digits of this number, while Sasha was told the sum of these digits. The following dialogue took place between the boys:

Petya: "I can guess the conceived number in three attempts, but two may not be enough for me."

Sasha: "If that's the case, then I can guess it in four attempts, but three may not be enough for me."

What number was told to Sasha?

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