
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 rose plants and an orchid. She has two identical yellow lamps and two identical blue lamps. Each plant must be under exactly one lamp, and more than one plant can be under a single lamp. Determine how many ways Rachel can arrange her plants under these lamps.

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