
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
The product of the ages of all of Mr. Násobek's children is 1408. The age of the youngest child is equal to half the age of the oldest child.

How many children does Mr. Násobek have, and how old are they?

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