MathDB
Iranian Second Round P2

Source: Iran 2nd-round MO 2018 - P2

April 26, 2018
combinatoricsIran

Problem Statement

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\} )
Back to ProblemsView on AoPS