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RU-SPB 2014 Problem 95

  • Grade 9

On a cellular plane with a cell side equal to 11 , arbitrarily 100×100100 \times 100 napkin is thrown. It covers some nodes (the node lying on the border of a napkin, is also considered covered). What is the smallest number of lines (going not necessarily along grid lines) you can certainly cover all these nodes?

Dataset text AI-MO AoPS. Quoted with source.

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