
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 \\(a > 0\\), let \\(p\\): real number \\(x\\) satisfies \\(x^{2}-4ax+3a^{2} < 0\\), \\(q\\): real number \\(x\\) satisfies \\((x-3)^{2} < 1\\).
\\((1)\\) If \\(a=1\\) and \\(p \land q\\) is true, find the range of real numbers \\(x\\).
\\((2)\\) If \\(\lnot p\\) is a sufficient but not necessary condition for \\(\lnot q\\), find the range of real numbers \\(a\\).

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