
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
Jacob has three identical ferns and one rubber plant. He has three identical blue lamps and two identical yellow lamps. How many different ways can Jacob arrange his plants under these lamps, assuming each plant must be under exactly one lamp?

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