{"id":2740,"date":"2023-01-28T08:16:56","date_gmt":"2023-01-28T08:16:56","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2740"},"modified":"2023-02-04T19:36:13","modified_gmt":"2023-02-04T19:36:13","slug":"numeros-de-colores","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2023\/01\/28\/numeros-de-colores\/","title":{"rendered":"N\u00fameros de colores"},"content":{"rendered":"<pre>Problema 1 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2023 (viernes ma\u00f1ana)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Sea n un entero positivo.<\/p>\n<p>Cada uno de los n\u00fameros 1, 2, 3, \u2026, 2023 se pinta de un color a escoger entre n distintos.<\/p>\n<p>Una vez coloreados, se observa que cualquier par (a, b) con a &lt; b y de manera que a | b (a divide a b), satisface que a y b son de distinto color.<\/p>\n<p>Encuentra el menor valor de n para el cual esta situaci\u00f3n es posible.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/01\/282.numerosdecolores.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-2741\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/01\/282.numerosdecolores.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2023\/01\/282.numerosdecolores-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2023\/02\/04\/solucion-a-numeros-de-colores\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 1 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2023 (viernes ma\u00f1ana) Se dirige a una edad de: 16-17 a\u00f1os Sea n un entero positivo. Cada uno de los n\u00fameros 1, 2, 3, \u2026, 2023 se pinta de un color a escoger entre n distintos. Una vez coloreados, se observa que cualquier [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2849],"tags":[],"class_list":["post-2740","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2740","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=2740"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2740\/revisions"}],"predecessor-version":[{"id":2745,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2740\/revisions\/2745"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2740"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2740"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}