
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 football tournament, each team meets exactly twice with every other team. There are no draws, a victory earns two points and a defeat earns no points. One team won the tournament with 26 points, and there are two teams tied for last place with 20 points each. Determine the number of teams, and provide an example of a tournament where such results occur.

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