
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
Cat Matroskin, Uncle Fyodor, postman Pechkin, and Sharik sat at a round table. Each had a plate with 15 sandwiches in front of them. Every minute, three of them ate a sandwich from their own plate, and the fourth ate a sandwich from their neighbor's plate. Five minutes after the meal began, Uncle Fyodor had 8 sandwiches left on his plate. What is the minimum number of sandwiches that could remain on Cat Matroskin's plate?

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