
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
There are 15 players participating in a Go tournament. Each pair of players needs to play one match. A win earns 2 points, a draw earns 1 point for each player, and a loss earns 0 points. If a player scores at least 20 points, they will receive a prize. What is the maximum number of players that can receive a prize?

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