
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 teacher checked the test papers of three students: Alekseev, Vasiliev, and Sergeev. When the students met the teacher on the street, they asked what grades they received. The teacher replied, "I didn't bring your papers with me, but I remember that all of you received different grades: 3, 4, and 5. Sergeev did not get 5, Vasiliev did not get 4, and Alekseev got 4." At home, the teacher checked the students' papers and realized that he had given incorrect grades to two students. What grades did the students actually receive?

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