
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 arithmetic mean of the nine numbers in the set $\{11, 111, 1111, 11111, \ldots, 111111111\}$ is an 9-digit number $N$. All of whose digits are distinct. The number $N$ does not contain the digit
A) 0
B) 8
C) 9
D) 5

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