
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
In a certain city, the car plate number consists of a six-digit number formed from the digits 0, 1, 2, ..., 9 (digits can be reused, and 0 can be the first digit). How many car plate numbers are there such that the sum of the digits is a multiple of 9, and the number contains at least three 9s?

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