
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
Math City has been redesigned to include 10 straight streets, with the new plan ensuring that no two streets are parallel and no three streets intersect at the same point. Additionally, some streets are curved, allowing them to intersect others more than once. Each police officer is stationed at each intersection point. If each curved street intersects every other street exactly twice while straight streets intersect each other once, what is the greatest number of police officers needed?

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