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BALTIC-WAY 2002 Problem 15

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A spider and a fly are sitting on a cube. The fly wants to maximize the shortest path to the spider along the surface of the cube. Is it necessarily best for the fly to be at the point opposite to the spider? ("Opposite" means "symmetric with respect to the center of the cube".)

Dataset text NuminaMath olympiads. Quoted with source.

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0<s<(3-\sqrt{7}) / 2

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