MathDB
only one of a+b,| a-b| is a member of set of itnegers X

Source: Mathcenter Contest / Oly - Thai Forum 2010 R1 p5 https://artofproblemsolving.com/community/c3196914_mathcenter_contest

November 15, 2022
number theory

Problem Statement

The set XX of integers is called good If for each pair a,b∈Xa,b\in X , only one of a+b,∣a−b∣a+b,\mid a-b\mid is a member of XX (a,ba,b may be equal). Find the total number of sets with 20082008 as member.
(tatari/nightmare)
Back to ProblemsView on AoPS