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An easy problem from silk road 2016

Source: silk road mathematical olympiad 2016,P1

April 4, 2016
algebrainequalities proposedinequalities

Problem Statement

Let a,ba,b and cc be real numbers such that ∣(a−b)(b−c)(c−a)∣=1| (a-b) (b-c) (c-a) | = 1. Find the smallest value of the expression ∣a∣+∣b∣+∣c∣| a | + | b | + | c |. (K.Satylhanov )
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