
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

In a soccer tournament, teams \( A, B, C, D, E \) each played exactly once against every other team. For each match, 3 points were awarded for a win, 1 point for a draw, and 0 points for a loss.

It is known that at the end of the tournament:

- All teams scored a different number of points.
- Team \( A \) scored the most points overall, although they lost to team \( B \).
- Teams \( B \) and \( C \) did not lose any games.
- Team \( C \) scored fewer points than team \( D \).

How many points did each team score?

Team \( A \) scored:

Team \( B \) scored:

Team \( C \) scored:

Team \( D \) scored:

Team \( E \) scored:

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