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The indecisive gardener - Colegiul National Mihail Eminescu (Satu Mare - Roumanie)

Titre du sujet: 
The indecisive gardener
A gardener wants to create zones in his circular garden using strings. How many zones can we create with n strings, at the most ? We shall also study the following generalisation : obstacles on the zone, juxtaposition of disks.
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Sujet | by Dr. Radut