
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 mixed-doubles tennis exhibition, there were four teams, each consisting of one man and one woman. After the exhibition, each player shook hands exactly once with every other player except with their team partner. How many handshakes occurred?

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