
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 universal set be the set of real numbers \\(R\\), \\(A=\\{x \mid |x-2| \leqslant 1\\}\\), \\(B=\\{x \mid x^2-a < 0\\}\\).  
\\((1)\\) When \\(a=4\\), find \\(A \cap B\\) and \\(A \cup B\\);  
\\((2)\\) If \\(B \subseteq \complement_R A\\), find the range of the real number \\(a\\).

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