
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 is planning a new layout with ten streets, all designed to be straight. None of these streets are parallel to one another, and due to modern city planning, exactly three pairs of these streets are designed to not intersect. How many police officers are needed to man each intersection?

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