
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
Define "extra-special" numbers as positive real numbers whose decimal representations consist solely of the digits $0$ and $5$. For example, $0.5$, $50.005$, and $5.\overline{05} = 5.050505\cdots$ are extra-special numbers. What is the smallest $n$ such that $10$ can be written as a sum of $n$ extra-special numbers?
A) 5
B) 7
C) 10
D) 12
E) It is not possible to represent the number 10 as a sum of finitely many extra-special numbers.

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