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#problem()
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$n$ black and $n$ white points are randomly distributed on a plane. No three points are collinear.\
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Show that it is always possible to draw $n$ nonintersecting lines between pairs of points of different colors.
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Show that it is always possible to draw $n$ nonintersecting line segments between pairs of points of different colors.
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#solution([
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Consider the total length of all lines on the plane.
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