
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
Five students participated in a bicycle race. Before the race, four supporters made the following predictions about the distribution of places:

1. Sergey will take second place, and Kolya will take third place.
2. Nadya will take third place, and Tolya will take fifth place.
3. Tolya will take first place, and Nadya will take second place.
4. Sergey will take second place, and Vanya will take fourth place.

After the race, it turned out that in each of these predictions, one part was correct, and the other part was incorrect. How were the places distributed among the students?

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