
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 \\(p\\): Real number \\(x\\) satisfies \\((x-3a)(x-a) < 0\\), \\(q\\): Real number \\(x\\) satisfies \\(|x-3| < 1\\).

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

\\((2)\\) If \\(a > 0\\) and \\(\neg p\\) is a sufficient but not necessary condition for \\(\neg q\\), find the range of real numbers \\(a\\).

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