
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 set \(\Lambda=\left\{(x, y) \left|\, \frac{x-2}{y-3}=a+I\right.\right\}\), and \(B=\left\{(x, y) \mid (a^{2}-1) y + (a-1)x = 0\right\}\), and the intersection of \(\Lambda\) and \(B\) is empty, determine all possible values of \(a\).

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