
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 \\(f(x)=|x+a|+|x-a^{2}|\\), where \\(a\in(-1,3)\\).

\\((1)\\) If \\(a=1\\), solve the inequality \\(f(x) \geqslant 4\\).

\\((2)\\) If for every \\(x \in \mathbb{R}\\), there exists an \\(a \in (-1,3)\\) such that the inequality \\(m < f(x)\\) holds, find the range of values for \\(m\\).

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