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1e6a533ca4 Warm-Up: Georgian
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2025-11-01 17:33:17 -07:00
35771206e0 Warm-Up: Pairs 2025-11-01 17:33:13 -07:00

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