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> drawing a line at every angle through a country and then moving that line up and down.

This part is quite messy. For every given (c1,c2) city pair, you'd get 1 straight line that connects c1 to c2. Then for every city ck, you need info on whether ck is above that line or below - you can compute that by point-slope geometry with the lat-long coordinates ( given point p(x,y) & line l with some slope, is p above l or below ).

If you want to poke around, the dataset is here: http://seer.cancer.gov/popdata/




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