
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
There is a natural 1001-digit number \( A \). The 1001-digit number \( Z \) is the same number \( A \), written in reverse order (for example, for four-digit numbers, these might be 7432 and 2347). It is known that \( A > Z \). For which \( A \) will the quotient \( A / Z \) be the smallest (but strictly greater than 1)?

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