
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
Imagine a scenario where 25 people attend a meeting. Each person shakes hands with at most 20 other people. Calculate the maximum number of handshakes if each handshake occurs only once between any two people.

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