
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
From the digits $1, 2, 3, 4, 5, 6, 7, 8, 9$, nine nine-digit numbers (not necessarily different) are formed with each digit used exactly once in each number. What is the largest number of zeros that the sum of these nine numbers can end with?

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