
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 20 puppies, 6 kittens, and 8 hamsters. Alice, Bob, and Charlie each want to buy a pet. Alice specifically wants a puppy. For variety, Bob and Charlie each want different pets from each other and different from what Alice chooses. How many ways can Alice, Bob, and Charlie buy pets and leave the store satisfied?

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