
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
For every real number \( x \), define \( \lfloor x \rfloor \) as the greatest integer less than or equal to \( x \), and let 
\[ g(x) = \lfloor x \rfloor(2015^{x - \lfloor x \rfloor} - 1). \]
Find the sum of the lengths of intervals for \( x \) such that \( 1 \leq x < 2015 \) and \( g(x) \leq 1 \).
A) \(0\)
B) \(0.5\)
C) \(1\)
D) \(2\)
E) \(2015^{\frac{1}{2015}}\)

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