{"id":3210,"date":"2024-03-03T17:15:42","date_gmt":"2024-03-03T17:15:42","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3210"},"modified":"2024-03-09T19:29:14","modified_gmt":"2024-03-09T19:29:14","slug":"la-fiesta","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2024\/03\/03\/la-fiesta\/","title":{"rendered":"La fiesta"},"content":{"rendered":"<pre>Problema 5 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>En una fiesta hay 100 personas. Cada par de personas son o bien amigos o bien enemigos (una y solo una de las dos cosas).<\/p>\n<p>Se cumple la siguiente propiedad: si A y B son enemigos y B y C son enemigos, entonces A y C son amigos.<\/p>\n<p>Demostrar que hay dos personas X e Y que cumplen simult\u00e1neamente estas condiciones:<\/p>\n<p>X tiene el mismo n\u00famero de enemigos que Y .<\/p>\n<p>X e Y son amigos.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2024\/03\/339.fiesta.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-3211\" \/><\/p>\n<p>Soluci\u00f3n. <a href=\"https:\/\/blogs.ua.es\/dimates\/2024\/03\/09\/solucion-a-la-fiesta\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 5 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2024 (viernes) Se dirige a una edad de: 16-17 a\u00f1os En una fiesta hay 100 personas. Cada par de personas son o bien amigos o bien enemigos (una y solo una de las dos cosas). Se cumple la siguiente propiedad: si A y [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2242029,2849],"tags":[],"class_list":["post-3210","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\/3210","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=3210"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3210\/revisions"}],"predecessor-version":[{"id":3219,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3210\/revisions\/3219"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3210"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3210"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3210"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}