
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 four-digit number. By rearranging the digits of this four-digit number (none of which are zero), the largest possible new number is greater than the original number by 5562, and the smallest possible new number is less than the original number by 2700. What is the original four-digit number?

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