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G´eza Ko´s Svetoslav Savchev. 4 Algebra A1. Find all the functions f : Z→ Zsuch that ... intersect ℓ at the points X,Y,Z different from P. Prove that the circumcircles of the triangles AXP,BYP and CZP have a common point different from P or are mutually tangent at P. 7 Number Theory N1.
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