
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 hundreds digit in the number 2025 is 0. Removing this 0 results in the number 225 (by removing only the hundreds place 0), and $225 \times 9 = 2025$. Such a 4-digit number is called a "zero clever number". Please list all the "zero clever numbers".

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