
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 football tournament, each participating team played against each other team exactly once. The teams scored $16, 14, 10, 10, 8, 6, 5, 3$ points. How many teams participated in the tournament, and how many points did the teams that participated in the game and took the top 4 places lose? (A win gives a team 2 points, and a draw gives 1 point.)

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