
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 to be very special if it has a decimal representation that consists entirely of digits $0$ and $5$. For instance, $\frac{500}{99}= 5.\overline{05}= 5.050505\cdots$ and $55.005$ are very special numbers. Find the smallest $n$ such that $1$ can be written as a sum of $n$ very special numbers using only up to three decimal places in each number.

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