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IR-MO-R2 2018 Problem 2

    Let nn be odd natural number and x1,x2,⋯ ,xnx_1,x_2,\cdots,x_n be pairwise distinct numbers. Prove that someone can divide the difference of these number into two sets with equal sum. ( X={∣xi−xj∣∣i<j}X=\{\mid x_i-x_j \mid | i<j\} )

    Dataset text AI-MO AoPS. Quoted with source.

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