
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 coffee shop launched a "half-price coffee" promotion with the following rules: Buy the first cup at the original price, the second cup at half price, and the third cup costs only 3 yuan. Xiao Zhou drank 3 cups of coffee that day, with the average price per cup being 19 yuan. What is the original price of one cup of coffee in yuan?

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