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Combinatorics

Source: Moldova JTST 2001

March 8, 2020
combinatorics

Problem Statement

Determine the smallest natural number n=>2n =>2 with the property: For every positive integers a1,a2,...,ana_1, a_2,. . . , a_n the product of all differences aj−aia_j-a_i, 1<=i<j<=n1 <=i <j <=n, is divisible by 2001.
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