{"id":2581,"date":"2022-08-28T06:31:11","date_gmt":"2022-08-28T06:31:11","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2581"},"modified":"2022-09-03T07:08:05","modified_gmt":"2022-09-03T07:08:05","slug":"invirtiendo-las-reglas","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2022\/08\/28\/invirtiendo-las-reglas\/","title":{"rendered":"Invirtiendo las reglas"},"content":{"rendered":"<pre>Problema 10 del concurso Marat\u00f3 de problemes 2022\r\nSe dirige a una edad de: 14-15 a\u00f1os<\/pre>\n<p>Aplicamos una de las siguientes reglas a un n\u00famero positivo n:<\/p>\n<p>Si n es impar, lo incrementamos 5 unidades, pasamos a n + 5.<\/p>\n<p>Si n es par, lo dividimos por 2, y por tanto pasamos a n\/2.<\/p>\n<p>Aplicamos esta regla a un n\u00famero entero k y obtenemos r.<\/p>\n<p>Despu\u00e9s aplicamos la regla a r y obtenemos s.<\/p>\n<p>Finalmente aplicamos la regla a s y obtenemos t.<\/p>\n<p>Si resulta que t es 2022, \u00bfcu\u00e1l es el valor m\u00e1s peque\u00f1o que puede tener el n\u00famero inicial k?<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2022\/08\/260.inversa.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-2583\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2022\/08\/260.inversa.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2022\/08\/260.inversa-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2022\/09\/03\/solucion-a-invirtiendo-las-reglas\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 10 del concurso Marat\u00f3 de problemes 2022 Se dirige a una edad de: 14-15 a\u00f1os Aplicamos una de las siguientes reglas a un n\u00famero positivo n: Si n es impar, lo incrementamos 5 unidades, pasamos a n + 5. Si n es par, lo dividimos por 2, y por tanto pasamos a n\/2. Aplicamos [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242026,1738,2849],"tags":[],"class_list":["post-2581","post","type-post","status-publish","format-standard","hentry","category-marato-de-problemes","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2581","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=2581"}],"version-history":[{"count":4,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2581\/revisions"}],"predecessor-version":[{"id":2589,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2581\/revisions\/2589"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2581"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2581"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2581"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}