
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 last digit of a four-digit number was moved to the front (for example, $1234 \rightarrow$ 4123), and the resulting number was added to the original number. The sum turned out to be 3333. What is the original number, given that it does not contain the digit 0? Find all possible options.

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