GIVEN: n red points and n blue points in the plane in general position (i.e., no 3 points are on the same line) PROVE: there exists a matching (i.e., 1-1 correspondence) between red and blue points...

Extracted text: GIVEN: n red points and n blue points in the plane in general position (i.e., no 3 points are on the same line) PROVE: there exists a matching (i.e., 1-1 correspondence) between red and blue points such that the segments connecting the corresponding points do not intersect. EXTRA/HINT: describe an algorithm for finding such matching