
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 two different lines \\(a\\) and \\(b\\), and three non-coincident planes \\(\alpha\\), \\(\beta\\), and \\(\gamma\\), the condition for \\(\alpha \perp \beta\\) is ______ (Fill in the serial number).

\\(① \alpha \perp \gamma\\), \\(\beta \perp \gamma;\\)　　\\(② \alpha \cap \beta = a\\), \\(b \perp a\\), \\(b \subset \beta;\\)

\\(③ a \parallel \beta\\), \\(a \parallel \alpha;\\)　　\\(④ a \parallel \alpha\\), \\(a \perp \beta\\).

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