
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 four-digit number has digits that form an arithmetic sequence. The digit in the hundreds place is the geometric mean of the digits in the units place and the thousands place. When the digits are reversed, the sum of the original number and the reversed number is 11110. Find the original four-digit number.

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