
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
20 people attend a seminar. Each person shakes hands with every other person exactly once. What is the maximum number of handshakes that can occur, assuming no handshake is repeated?

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