
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 the following four conclusions:  
\\(①\\) If "p and q" is a false proposition, then both p and q are false propositions;  
\\(②\\) The negation of the proposition "If \\(a > b\\), then \\(2^{a} > 2^{b}-1\\)" is "If \\(a \leqslant b\\), then \\(2^{a} \leqslant 2^{b}-1\\)";  
\\(③\\) If the random variable \\(\zeta \sim N(3,4)\\), and \\(P(\zeta < 2a-3) = P(\zeta > a+2)\\), then \\(a=3\\);  
\\(④\\) There are \\(2\\) lines passing through point \\(A(1,4)\\) with absolute values of horizontal and vertical intercepts being equal.  
Among these, the correct conclusion(s) is/are \_\_\_\_\_\_.

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