
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 \\(p\\): \\(x \in A = \{x | x^{2} + ax + b \leqslant 0, a \in \mathbb{R}, b \in \mathbb{R}\}\\), \\(q\\): \\(x \in B = \{x | x^{2} - 2mx + m^{2} - 4 < 0, m \in \mathbb{R}\}\\).
\\((1)\\) If \\(A = \{x | -1 \leqslant x \leqslant 4\}\\), find the value of \\(a + b\\);
\\((2)\\) Under the condition of \\((1)\\), if \\(\neg q\\) is a necessary condition for \\(p\\), find the range of the real number \\(m\\).

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