
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, eight participants competed, and each one scored a different number of points. The player who took second place scored as many points as the combined total of the last four participants. How did the players who took third and seventh places play against each other?

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