
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 is divided into two parts from the middle, resulting in two two-digit numbers. If a 0 is added to the end of the first two-digit number and then added to the product of the two two-digit numbers, it equals the original four-digit number. It is also known that the unit digit of the original number is 5. Find this four-digit number.

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