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The solution conflicts the problem's wording: "it would be rude to collect from the same household twice." Households F, G, J, K would be visited twice.
Those aren't houses, those are intersections. The houses are along the line segments connecting the letters.
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It is written that "You live at intersection A", implying that the intersection is a place where someone lives. This means that it's a house as well as an intersection. So, technically both of you are right. I'm only 14, so if I made a mistake, tell me. I am trying to learn. :)
The way they worded it doesn't make any sense. You cannot live at intersection A, it would make more sense if they wrote you live at intersection A to E or A to B. Other wise, the statement "You live at intersection A", is very obscure.