
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 athletes ($A, B, C, D$, and $E$) participated in a race. Two predictions were made regarding the order in which they would finish.

- First prediction: $A$ finishes first, $B$ second, $C$ third, $D$ fourth, $E$ fifth.
- Second prediction: $C$ finishes first, $E$ second, $A$ third, $B$ fourth, $D$ fifth.

It turned out that the first prediction was correct for exactly three athletes, while the second prediction was correct for exactly two athletes. What was the actual finish order of the race?

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