
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 is running a "half-price coffee" promotion, where the first cup is at the original price, the second cup is at half the original price, and the third cup costs only 3 yuan. Xiaozhou drank 3 cups of coffee that day, with an average cost of 19 yuan per cup. What is the original price of one cup of coffee (in yuan)?

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