
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
In a gathering, there are 25 witches and 18 zombies. Witches refuse to interact with other witches, but they willingly interact with all the zombies. The zombies are more sociable and interact with everyone, including other zombies. Each pair of creatures interacts at most once. Calculate how many interactions happened during this event.

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