
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
The cafe "Buratino" operates 6 days a week and is closed on Mondays. Kolya made two statements: "from April 1 to April 20, the cafe was open for 18 days" and "from April 10 to April 30, the cafe was also open for 18 days." It is known that he made a mistake once. How many days was the cafe open from April 1 to April 27?

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