
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
Rachel has two identical basil plants, an aloe plant, and an additional cactus. She also has two identical white lamps, one red lamp, and one blue lamp. Each plant must be under exactly one lamp, and no lamp can be used for just one plant unless it's the red one. How many ways are there for Rachel to put her plants under her lamps?

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