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2019 Taiwan APMO Preliminary Problem 1

Source: 2019 Taiwan APMO Preliminary

August 23, 2020
geometry

Problem Statement

In △ABC\triangle ABC, ∠B=90∘\angle B=90^\circ, segment AB>BCAB>BC. Now we have a △AiBC(i=1,2,...,n)\triangle A_iBC(i=1,2,...,n) which is similiar to △ABC\triangle ABC (the vertexs of them might not correspond). Find the maximum value of n+2018n+2018.
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