
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 a positive real number called "splendid" if its decimal representation consists solely of the digits \(0\) and \(9\). For instance, \( \frac{900}{111} = 9.\overline{09} = 9.090909\ldots \) is a splendid number. Determine the minimum \( n \) such that \( 1 \) can be written as a sum of \( n \) splendid numbers.
A) 1
B) 2
C) 3
D) 4
E) The number 1 cannot be represented as a sum of finitely many splendid numbers.

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