
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 to each other. Each gangster belongs to several gangs, and any two gangsters are members of different sets of gangs. It is known that no gangster belongs to two gangs that are hostile to each other. Furthermore, if a gangster does not belong to a particular gang, that gang is hostile to one of the gangs the gangster is a member of. What is the maximum number of gangsters that can be in Chicago?

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