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Turkey TST 1992 - P6: Find circle with 11 pts out of 251 pts

Source:

March 13, 2011
geometrycombinatorics proposedcombinatorics

Problem Statement

A circle with radius 44 and 251251 distinct points inside the circle are given. Show that it is possible to draw a circle with radius 11 and containing at least 1111 of these points.
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