{"id":3635,"date":"2025-06-28T07:21:09","date_gmt":"2025-06-28T07:21:09","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3635"},"modified":"2025-07-06T16:06:46","modified_gmt":"2025-07-06T16:06:46","slug":"capicuas-de-5-cifras","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2025\/06\/28\/capicuas-de-5-cifras\/","title":{"rendered":"Capic\u00faas de 5 cifras"},"content":{"rendered":"<pre>Problema 8 del concurso Marat\u00f3 de problemes 2025\nSe dirige a una edad de: 14-15 a\u00f1os\n<\/pre>\n\n\n<p>Consideramos todos los n\u00fameros naturales de 5 cifras ordenados de manera creciente, y llamamos a\u2081 = 10000, a\u2082 = 10001, \u2026<\/p>\n\n\n\n<p>Si a<sub>m<\/sub> es un n\u00famero capic\u00faa de la sucesi\u00f3n (la cifra de las decenas coincide con las unidades de millar, y la de las unidades, con la de las decenas de millar), llamamos D<sub>m<\/sub> a la diferencia entre n y m, donde n es el valor m\u00e1s pr\u00f3ximo por encima de m de forma que a<sub>n<\/sub> tambi\u00e9n es capic\u00faa.<\/p>\n\n\n\n<p>a) \u00bfCu\u00e1ntos valores diferentes puede tener D<sub>m<\/sub> para los posibles valores de m?<\/p>\n\n\n\n<p>b) \u00bfCu\u00e1l es el valor m\u00e1s peque\u00f1o que puede tener D<sub>m<\/sub>?<\/p>\n\n\n\n<p>c) \u00bfCu\u00e1l es el valor mayor que puede tener D<sub>m<\/sub>?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2025\/06\/388.capicuas.png\" alt=\"\" class=\"wp-image-3636\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2025\/07\/06\/solucion-a-capicuas-de-5-cifras\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 8 del concurso Marat\u00f3 de problemes 2025 Se dirige a una edad de: 14-15 a\u00f1os Consideramos todos los n\u00fameros naturales de 5 cifras ordenados de manera creciente, y llamamos a\u2081 = 10000, a\u2082 = 10001, \u2026 Si am es un n\u00famero capic\u00faa de la sucesi\u00f3n (la cifra de las decenas coincide con las unidades [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242030,2242026,1738,2849],"tags":[],"class_list":["post-3635","post","type-post","status-publish","format-standard","hentry","category-marato","category-marato-de-problemes","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3635","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=3635"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3635\/revisions"}],"predecessor-version":[{"id":3642,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3635\/revisions\/3642"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3635"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3635"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3635"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}