{"id":2982,"date":"2023-08-19T19:57:53","date_gmt":"2023-08-19T19:57:53","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2982"},"modified":"2023-09-02T05:16:50","modified_gmt":"2023-09-02T05:16:50","slug":"borrando-numeros","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2023\/08\/19\/borrando-numeros\/","title":{"rendered":"Borrando n\u00fameros"},"content":{"rendered":"<pre>Problema 3 del segundo nivel de la Olimpiada de Mayo 2023\r\nSe dirige a una edad de: 13-14 a\u00f1os<\/pre>\n<p>En el pizarr\u00f3n est\u00e1n escritos los 49 n\u00fameros 2, 3, 4, . . . , 49, 50.<\/p>\n<p>Una operaci\u00f3n permitida consiste en elegir dos n\u00fameros distintos a y b del pizarr\u00f3n tales que a sea m\u00faltiplo de b y borrar exactamente uno de los dos.<\/p>\n<p>Mar\u00eda hace una secuencia de operaciones permitidas hasta que observa que ya no es posible hacer ninguna m\u00e1s.<\/p>\n<p>Determinar la m\u00ednima cantidad de n\u00fameros que pueden quedar en el pizarr\u00f3n en ese momento.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/08\/312.Borrando.png\" alt=\"\" width=\"300\" height=\"301\" class=\"alignnone size-full wp-image-2984\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/08\/312.Borrando.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2023\/08\/312.Borrando-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2023\/08\/27\/solucion-a-borrando-numeros\/\">Aqu\u00ed<\/a>.<br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2023\/08\/27\/solucion-a-borrando-numeros\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 3 del segundo nivel de la Olimpiada de Mayo 2023 Se dirige a una edad de: 13-14 a\u00f1os En el pizarr\u00f3n est\u00e1n escritos los 49 n\u00fameros 2, 3, 4, . . . , 49, 50. Una operaci\u00f3n permitida consiste en elegir dos n\u00fameros distintos a y b del pizarr\u00f3n tales que a sea m\u00faltiplo [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242027,1738,2849],"tags":[],"class_list":["post-2982","post","type-post","status-publish","format-standard","hentry","category-mayo","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2982","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=2982"}],"version-history":[{"count":4,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2982\/revisions"}],"predecessor-version":[{"id":3009,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2982\/revisions\/3009"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2982"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2982"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2982"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}