
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 round-robin chess tournament (each player plays one game against every other player) with 20 participants, 6 of whom are from Russia, it is known that Vladimir from Russia, who scored more points than anyone else, won first place. Levon from Armenia took second place, also outscoring all the other 18 players. What is the maximum total number of points that the Russian chess players could have scored? (In chess, a win gives one point, a draw gives half a point, and a loss gives no points.)

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