
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 of the 8 participants plays one game with every other participant. All participants scored different amounts of points (whole numbers), and the runner-up scored as many points as the combined points of the players who finished from fifth to eighth place. How did the game between the players who finished third and fifth place end?

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