
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
Consider the set of numbers $\{8, 88, 888, \ldots, 88888888\}$ containing eight elements, each element being a repetition of the digit 8 from one up to eight times. Calculate the arithmetic mean of this set, $N$, which is an 8-digit number. Determine which digit from `0` to `9` is not present in $N$.
A) 0
B) 2
C) 4
D) 6
E) 8

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