
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 certain class spent $48$ yuan to purchase two types of prizes, A and B, to reward students who performed well in a math competition. Each type of prize must be purchased at least once. The price of each A prize is $4$ yuan, and the price of each B prize is $3$ yuan. There are ____ possible purchasing plans.

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