
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
Given a sequence \(\{a_n\}\) that satisfies:
\[ a_1 = \sqrt{3}, \quad a_{n+1} = \lfloor a_n \rfloor + \frac{1}{\{a_n\}}, \]
where \(\lfloor a_n \rfloor\) and \(\{a_n\}\) denote the integer part and the fractional part of the positive number \(a_n\), respectively. Find \(a_{2015}\).

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