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any rectange coved by 25 circles of r=2, can be covered by 100 circles of R=1?

Source: Polish MO Recond Round 1988 p5

September 9, 2024
geometryrectangleGeometric Inequalitiescombinatorial geometrycombinatorics

Problem Statement

Decide whether any rectangle that can be covered by 25 circles of radius 2 can also be covered by 100 circles of radius 1.