
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 proposition \\(p\\): The real number \\(x\\) satisfies \\({{x}^{2}}-4ax+3{{a}^{2}} < 0\\), where \\(a > 0\\); proposition \\(q\\): The real number \\(x\\), satisfies \\( \dfrac{x-3}{x-2} < 0 \\).

\\((1)\\) If \\(a=1\\) and \\(p \land q \\) is true, find the range of real numbers \\(x\\);

\\((2)\\) If \\(q\\) is a sufficient but not necessary condition for \\(p\\), find the range of real numbers \\(a\\).

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