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OMM 2015 Problem 5

    Sea II el incentro de un triángulo acutángulo ABCABC. La recta AIAI corta por segunda vez al circuncírculo del triángulo BICBIC en EE. Sean DD el pie de la altura desde AA sobre BCBC y JJ la reflexión de II con respecto a BCBC. Muestra que los puntos DD, JJ y EE son colineales.

    Official text Mexican Mathematical Olympiad 2015 official paper, page 2. Quoted with source.

    A model read this text from the scan of the paper by OCR, with vision/claude@2.1.318 (claude-opus-5-5). No person has checked it against the paper yet.

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