{"id":3176,"date":"2024-02-03T16:08:41","date_gmt":"2024-02-03T16:08:41","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3176"},"modified":"2024-02-11T18:47:18","modified_gmt":"2024-02-11T18:47:18","slug":"sumas-de-numeros-formados-por-unos","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2024\/02\/03\/sumas-de-numeros-formados-por-unos\/","title":{"rendered":"Sumas de n\u00fameros formados por unos"},"content":{"rendered":"<pre>Problema 1 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2024 (viernes)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Hallar el menor entero positivo n tal que la suma de n sumandos<\/p>\n<p>A(n) = 1 + 11 + 111 + \u2026 + 11&#8230;1<\/p>\n<p>es divisible por 45.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2024\/02\/335.unos_.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-3177\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2024\/02\/335.unos_.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2024\/02\/335.unos_-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Soluci\u00f3n. <a href=\"https:\/\/blogs.ua.es\/dimates\/2024\/02\/10\/solucion-a-sumas-de-numeros-formadas-por-unos\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 1 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2024 (viernes) Se dirige a una edad de: 16-17 a\u00f1os Hallar el menor entero positivo n tal que la suma de n sumandos A(n) = 1 + 11 + 111 + \u2026 + 11&#8230;1 es divisible por 45. Soluci\u00f3n. Aqu\u00ed.<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2242029,2849],"tags":[],"class_list":["post-3176","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-ome","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3176","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=3176"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3176\/revisions"}],"predecessor-version":[{"id":3184,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3176\/revisions\/3184"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3176"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3176"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}