olymmath

GULF 2014 Problem 4

    The numbers from 11 to 6464 must be written on the small squares of a chessboard, with a different number in each small square. Consider the 112112 numbers you can make by adding the numbers in two small squares which have a common edge. Is it possible to write the numbers in the squares so that these 112112 sums are all different?

    Dataset text AI-MO AoPS. Quoted with source.

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