
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
25 people attend a conference. Each person shakes hands with at most 24 other people. What is the maximum possible number of handshakes, assuming that any two people can shake hands at most once?

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