
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
A natural number is written on the board. Each minute the following operation is performed: if it has two identical digits, one of them is erased; if all digits are distinct, the entire number is erased and replaced by three times its value. For example, from the number 57 in two minutes, you can obtain $57 \rightarrow 171 \rightarrow 71$ or $57 \rightarrow 171 \rightarrow 17$. Maria wrote a two-digit number and after several minutes obtained the same number again. Provide an example of how she could have done this.

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