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Omni-MATH / For a rational point (x,y), if xy is an integer that divided by 2 but not 3,…

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problem

For a rational point (x,y), if xy is an integer that divided by 2 but not 3, color (x,y) red, if xy is an integer that divided by 3 but not 2, color (x,y) blue. Determine whether there is a line segment in the plane such that it contains exactly 2017 blue points and 58 red points.

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