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38th Austrian Mathematical Competition 2007

Source: 1st round

February 7, 2009
inequalities unsolvedinequalities

Problem Statement

Let 0<x0,x1,…,x669<1 0<x_0,x_1, \dots , x_{669}<1 be pairwise distinct real numbers. Show that there exists a pair (xi,xj) (x_i,x_j) with 0
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