
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 36 criminal gangs operating in Chicago, some of which are hostile toward each other. Each gangster belongs to several gangs, with no two gangsters belonging to the same set of gangs. It is known that no gangster belongs to two gangs that are hostile toward each other. Additionally, it turns out that each gang, which a particular gangster does not belong to, is hostile to at least one gang that the gangster does belong to. What is the maximum number of gangsters that can be in Chicago?

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