
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 regional conference, there are 25 wizards and 18 elves. Elves do not shake hands with each other due to a recent disagreement, but each elf shakes hands with every wizard. Wizards, being sociable, shake hands with each other and all the elves. Calculate the total number of handshakes at this conference.

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