{"id":1474,"date":"2020-01-12T09:44:30","date_gmt":"2020-01-12T09:44:30","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=1474"},"modified":"2020-01-19T08:09:24","modified_gmt":"2020-01-19T08:09:24","slug":"subconjunto-bescanoni","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2020\/01\/12\/subconjunto-bescanoni\/","title":{"rendered":"Subconjunto bescanon\u00ed"},"content":{"rendered":"<pre>Problema 2 de la Fase Catalana de la OME 2019\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Sea n= 2<sup>k<\/sup> un n\u00famero entero positivo.<\/p>\n<p>Se dice que un subconjunto A de {1, 2, 3, \u2026, n} es bescanon\u00ed si cumple que <\/p>\n<p>1) El n\u00famero 1 pertenece al conjunto.<\/p>\n<p>2) Si un n\u00famero x pertenece al conjunto, entonces 2x no pertenece al conjunto.<\/p>\n<p>Se pide:<\/p>\n<p>a) Encontrar un conjunto bescanon\u00ed con el m\u00e1ximo n\u00famero de elementos cuando n = 2\u2075.<\/p>\n<p>b) Calcular el m\u00e1ximo n\u00famero de elementos que puede tener un conjunto bescanon\u00ed en funci\u00f3n de k.<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2020\/01\/128.Bescanoni.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-1475\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2020\/01\/128.Bescanoni.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2020\/01\/128.Bescanoni-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2020\/01\/19\/solucion-a-conjunto-bescanoni\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 2 de la Fase Catalana de la OME 2019 Se dirige a una edad de: 16-17 a\u00f1os Sea n= 2k un n\u00famero entero positivo. Se dice que un subconjunto A de {1, 2, 3, \u2026, n} es bescanon\u00ed si cumple que 1) El n\u00famero 1 pertenece al conjunto. 2) Si un n\u00famero x pertenece [&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-1474","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\/1474","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=1474"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1474\/revisions"}],"predecessor-version":[{"id":1482,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1474\/revisions\/1482"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=1474"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=1474"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=1474"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}