
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
Given that a community plans to invest 500 yuan to purchase three types of books, A, B, and C, to enrich the cultural life of the residents and create a "bookish community", where type A costs 30 yuan per book, type B costs 25 yuan per book, and type C costs 20 yuan per book, and the community must buy at least 5 books of type A and at most 6 books of type A, determine the number of purchasing schemes for this procurement plan.

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