
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 there be two propositions, \(p\): The solution set of the inequality \(a^x > 1\) (where \(a > 0\) and \(a \neq 1\)) is \(\{x|x < 0\}\); \(q\): The domain of the function \(y = \log(ax^2 - x + a)\) is \(R\). If the proposition \(p \vee q\) is true, and \(p \wedge q\) is false, the range of values for the real number \(a\) is _________.

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