
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 \\(min\{m,n\}\\) denote the minimum value between \\(m\\) and \\(n\\). Given the functions \\(f(x) = x^3 + ax + \frac{1}{4}\\) and \\(g(x) = -\ln x\\), and let \\(h(x) = min\{f(x),g(x)\} (x > 0)\\). If \\(h(x)\\) has 3 zeros, then the range of the real number \\(a\\) is \_\_\_\_\_\_\_\_\_\_.

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