
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
If a rational number has a finite number of digits in its decimal representation, it is called "short." For positive integers \( m \) and \( t \), if there exists an integer \( c \in \{1, 2, \cdots, 2017\} \) such that \(\frac{10^t - 1}{cm}\) is short, and for any \( k \in \{1, 2, \cdots, t-1\} \), \(\frac{10^k - 1}{cm}\) is not short, then \( t \) is called "m-splendid." Let \( S(m) \) be the set of m-splendid numbers. For \( m = 1, 2, \cdots \), find the maximum number of elements in \( S(m) \).

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