
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. In how many ways can the 10 animals be placed in a row of 10 cages, such that all of the animals of each type are in adjacent cages? Each animal within the same species is distinguishable.

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