
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
Let \( a \) and \( b \) be two non-zero digits, not necessarily distinct. The two-digit number \(\overline{a b}\) is called curious if it is a divisor of the number \(\overline{b a}\), which is formed by swapping the order of the digits of \(\overline{a b}\). Find all curious numbers.

Note: The bar over the numbers is used to distinguish the product \(a \cdot b\) from the two-digit number \(\overline{a b}\).

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