
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 executives, 15 executives drank coffee, 13 executives drank tea, and 9 executives drank soda. Seven executives drank both coffee and tea, four drank both tea and soda, and three drank both coffee and soda. Two executives drank all three beverages. How many executives drank none of these beverages?

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