
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 committees of bureaucrats. It is known that for each pair of bureaucrats from different committees, among the members of the remaining committee, there are exactly 10 bureaucrats who know both of them, and exactly 10 bureaucrats who do not know both of them. Find the total number of bureaucrats in the committees.

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