
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 pair of players competes in exactly one game. The winner of each game scores 2 points, the loser scores 0 points, and in the event of a draw, each player scores 1 point. There are 4 people who have tallied the total scores from this tournament, but due to carelessness, their data are all different, being 1979, 1980, 1984, and 1985 respectively. After verification, it was found that one person's tally was correct. How many players participated in this tournament?

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