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a_i-a_j of 5 different positive integers are different, least value of max a_i

Source: 2004 Estonia National Olympiad Final Round grade 9 p2

March 25, 2020
minmaxDifferencealgebra

Problem Statement

The positive differences ai−aja_i-a_j of five different positive integers a1,a2,a3,a4,a5a_1, a_2, a_3, a_4, a_5 are all different (there are altogether 1010 such differences). Find the least possible value of the largest number among the aia_i.
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