
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
At a mixed doubles tennis tournament, there were four teams consisting of one man and one woman each. After the tournament, each player shook hands once with every player of the opposite gender except their own partner. How many such handshakes occurred?

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