RU-ALLRUSSIAN 1982 Problem 12
Cucumber River has parallel banks a distance 1 meter apart. It has some islands with total perimeter 8 meters. It is claimed that it is always possible to cross the river (starting from an arbitrary point) by boat in at most 3 meters. Is the claim always true for any arrangement of islands? [Neglect the current.]
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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