
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 competition with 2018 teams, all of different strengths, each match between two teams always results in a win for the stronger team. All the teams were paired up and played one game, then were paired up differently and played another game. It turned out that exactly one team won both games. How could this happen?

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