TUYMAADA 2008 S5
Every street in the city of Hamiltonville connects two squares, and every square may be reached by streets from every other. The governor discovered that if he closed all squares of any route not passing any square more than once, every remained square would be reachable from each other. Prove that there exists a circular route passing every square of the city exactly once.
Author: S. Berlov
Dataset text AI-MO AoPS. Quoted with source.
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