olymmath

CONO-SUR 2012 Problem 1

    Around a circumference are written 20122012 number, each of with is equal to 11 or −1-1 . If there are not 1010 consecutive numbers that sum 00 , find all possible values of the sum of the 20122012 numbers.

    Dataset text AI-MO AoPS. Quoted with source.

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