
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 conference with $30$ businessmen, fifteen businessmen drank coffee, thirteen drank tea, and eight drank soda. Six businessmen drank both coffee and tea, two drank both coffee and soda, and three drank both tea and soda. One businessman drank all three beverages. How many businessmen drank none of the beverages?

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