
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
A pet store has 12 puppies, 9 kittens, 7 hamsters, and 5 birds. Alice, Bob, Charlie, and Donna each want to buy a pet. Alice wants either a puppy or a kitten, Bob wants either a kitten or a hamster, Charlie wants either a hamster or a bird, and Donna is happy with any pet. How many ways can they buy their pets to ensure everyone is satisfied with a different kind of pet?

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