
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
The Happy Valley Kennel now has 3 chickens, 3 dogs, and 4 cats, and they need to be placed in a row of 10 cages. How many ways can the 10 animals be placed in the cages, such that all of the animals of each type are in adjacent cages, with each type of animal being distinguishable?

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