
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 \\(\alpha\\) and \\(\beta\\) are two different planes, there are the following three conditions:

\\(①\\) There exists a plane \\(\gamma\\), such that \\(\gamma \perp \alpha\\) and \\(\gamma \parallel \beta\\);

\\(②\\) There exists a line \\(a\\), such that \\(a \perp \beta\\);

\\(③\\) There exist two perpendicular lines \\(a\\) and \\(b\\), such that \\(a \perp \beta\\) and \\(b \perp \alpha\\).

Among these, the serial numbers that can serve as the necessary and sufficient condition for “\\(\alpha \perp \beta\\)” are __________.

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