
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 large family reunion, there are 8 married couples. Every participant shakes hands exactly once with every other person except for their spouse and any of their family members (defined here as the other three couples they are related to through marriage but not direct siblings). How many handshakes occur among the people at the reunion?

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