
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 chess tournament, each participant played with every other participant exactly once. The winner won half of his games and drew the other half. It turned out that the winner scored 13 times fewer points than all the other participants combined. (A win gives 1 point, a draw gives 0.5 points, and a loss gives 0 points.) How many chess players were in the tournament?

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