
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
Let the sequence \\(a_n\\) satisfy: \\(a_1=\sqrt{3}\\), \\(a_{n+1}=\left[ a_n \right]+\frac{1}{\{ a_n \}}\\), where \\(\left[ a_n \right]\\) and \\(\{ a_n \}\\) respectively represent the integer part and the fractional part of the positive number \\(a_n\\). Find the value of \\(a_{2018}\\).

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