
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 Xueyou Bookstore's promotion plan, which offers no discount for purchases under 100 yuan, a 10% discount for purchases between 100 and 200 yuan, and a 20% discount for purchases at or above 200 yuan, determine the original price of the books if Wang Ming paid 162 yuan for his single purchase.

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