
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
Two advanced Level 3 students participated in a university chess tournament. Each participant plays against all others exactly once. A win is worth 1 point, a draw is worth 0.5 points, and a loss is worth 0 points. The total scores of the two Level 3 students sum up to 6.5 points. All university students scored the same amount of points. How many university students participated in the competition?

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