
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 football tournament with 16 teams, each team plays with every other team exactly once. At the end of the tournament, the team "Joker" won against all the teams that finished above "Joker" in the final standings (by points) and lost to all the teams that finished below. Moreover, no team finished with the same number of points as "Joker". What is the highest place "Joker" could have achieved in the tournament? Justify your answer. (It is known that in football, a win gives 3 points, a draw 1 point, and a loss 0 points.)

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