
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 certain school's cafeteria has the following consumption standards for lunch and dinner:

| Category        | Price       |
|-----------------|-------------|
| Rice            | $0.5$ yuan per serving |
| Category $A$ dish | $3.5$ yuan per serving |
| Category $B$ dish | $2.5$ yuan per serving |

A student at the school ate lunch and dinner at the school from Monday to Friday. Each meal included 1 serving of rice and either 1 serving of Category $A$ dish or 1 serving of Category $B$ dish. The total cost for these 5 days was 36 yuan. How many times did the student choose Category $A$ dish and Category $B$ dish, respectively?

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