
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
There are three commissions of bureaucrats. It is known for each pair of bureaucrats from different commissions that among the members of the remaining commission, there are exactly 10 bureaucrats who are acquainted with both and exactly 10 bureaucrats who are not acquainted with either. Find the total number of bureaucrats in the commissions.

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