
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
Find a two-digit number such that if it is divided by the product of its digits, the quotient is $16 / 3$, and if you subtract 9 from it, the difference is also a two-digit number that is a rearrangement of the original number's digits.

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