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XK-TST 2012 Problem 1

    A student had 1818 papers. He seleced some of these papers, then he cut each of them in 1818 pieces.He took these pieces and selected some of them, which he again cut in 1818 pieces each.The student took this procedure untill he got tired .After a time he counted the pieces and got 20122012 pieces .Prove that the student was wrong during the counting.

    Dataset text AI-MO AoPS. Quoted with source.

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