
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 (a > 0\\) and \\(a \neq 1)\\) is \\(\{x|x < 0\}\\); \\(q\\): The domain of the function \\(y=\lg (x^{2}-x+a)\\) is \\(\mathbb{R}\\). If \\(p \lor q\\) is a true proposition and \\(p \land q\\) is a false proposition, then the range of the real number \\(a\\) is \_\_\_\_\_\_.

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