
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

After completing a test, students Volodya, Sasha, and Petya reported their grades at home:

Volodya: "I got a 5."

Sasha: "I got a 3."

Petya: "I did not get a 5."

After verification, it was found that one of the boys received a grade of "4", another got "3", and the third got "5". What grade did each boy receive, given that two of them correctly reported their grade and one was mistaken?

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