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CONO-SUR 2009 Problem 1

    The four circles in the figure determine 10 bounded regions. 1010 numbers summing to 100100 are written in these regions, one in each region. The sum of the numbers contained in each circle is equal to SS (the same quantity for each of the four circles). Determine the greatest and smallest possible values of SS .

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    conosurdiagram.png

    Dataset text AI-MO AoPS. Quoted with source.

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