
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
During the National Day celebration, the Wuyang Bookstore offers a 10% discount on all books, priced at their original value. Additionally, for every 10 yuan spent on books at the original price, customers receive a 1 yuan coupon (no coupon for purchases less than 10 yuan). Deng, Zheng, Qiu, Xing, and Guo have a total of 800 yuan in cash. If they purchase books and then use the coupons to buy more books until the coupons are exhausted, calculate the total original price of the books they can buy.

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