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IZHO 2019 P2

Source: IZHO 2019 P2

January 11, 2019
izhoalgebranumber theorynumber theory proposedinequalities

Problem Statement

Find the biggest real number CC, such that for every different positive real numbers a1,a2...a2019a_1,a_2...a_{2019} that satisfy inequality : a1∣a2−a3∣+a2∣a3−a4∣+...+a2019∣a1−a2∣>C\frac{a_1}{|a_2-a_3|} + \frac{a_2}{|a_3-a_4|} + ... + \frac{a_{2019}}{|a_1-a_2|} > C
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