
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
Each of the six houses on one side of a street is connected by cable lines with each of the eight houses on the opposite side. How many pairwise intersections do the shadows of these cables form on the surface of the street, assuming no three of them intersect at a single point? Assume that the light producing these shadows is falling vertically downward.

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