
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
Petya and Vasya decided to get as many top grades ("5"s) as possible on September 1st and 2nd.

- On September 1st, they received a total of 10 top grades, with Petya receiving more top grades than Vasya.
- On September 2nd, Vasya received 3 top grades, while Petya received none.
- Over the course of these two days, Vasya received more top grades than Petya.

How many top grades did each receive over these two days?

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