
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
Plan to organize volleyball, basketball, and table tennis competitions in 4 different gyms, with each competition being held in only one gym. Find the number of arrangements such that no more than two types of competitions take place in the same gym.

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