
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 \\(a > b > 1\\), and \\(c < 0\\). Consider the following three statements:

    \\(① \dfrac{c}{a} > \dfrac{c}{b}\\); \\(② a^{c} < b^{c}\\); \\(③ \log_{b}(a-c) > \log_{a}(b-c)\\),

    Among these, the correct statement(s) is/are \_\_\_\_\_\_\_\_.

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