
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
Find all ten-digit numbers such that the 1st digit of the number is equal to the number of zeros in its decimal representation, the 2nd digit is equal to the number of ones, and so on up to the 10th digit, which is equal to the number of nines in the number's representation.

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