{"id":3403,"date":"2017-11-14T06:00:22","date_gmt":"2017-11-14T04:00:22","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=3403"},"modified":"2017-11-21T11:52:55","modified_gmt":"2017-11-21T09:52:55","slug":"mayor-numero-equidigital","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/mayor-numero-equidigital\/","title":{"rendered":"Mayor n\u00famero equidigital"},"content":{"rendered":"<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   mayorEquidigital :: Integer -> Integer\n<\/pre>\n<p>tal que (mayorEquidigital x) es el mayor n\u00famero que se puede contruir con los d\u00edgitos de x. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   mayorEquidigital 13112017  ==  73211110\n   mayorEquidigital2 (2^100)  ==  9987776666655443322222211000000\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\nimport Data.List (sort, permutations)\n\n-- 1\u00aa soluci\u00f3n\n-- ===========\n\nmayorEquidigital1 :: Integer -> Integer\nmayorEquidigital1 =\n  maximum . equidigitales\n\n-- (equidigitales x) es la lista de los n\u00fameros que se pueden contruir\n-- con los d\u00edgitos de x. Por ejemplo, \n--    equidigitales 325  ==  [325,235,523,253,532,352]\nequidigitales :: Integer -> [Integer]\nequidigitales x =\n  [read ys | ys <- permutations ds]\n  where ds = show x\n\n-- 2\u00aa soluci\u00f3n\n-- ===========\n\nmayorEquidigital2 :: Integer -> Integer\nmayorEquidigital2 = read . reverse . sort . show \n\n-- Comparaci\u00f3n de eficiencia\n-- =========================\n\n--    \u03bb> mayorEquidigital1 (2^30)\n--    8774432110\n--    (11.77 secs, 26,334,106,664 bytes)\n--    \u03bb> mayorEquidigital2 (2^30)\n--    8774432110\n--    (0.00 secs, 156,800 bytes)\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Definir la funci\u00f3n mayorEquidigital :: Integer -> Integer tal que (mayorEquidigital x) es el mayor n\u00famero que se puede contruir con los d\u00edgitos de x. Por ejemplo, mayorEquidigital 13112017 == 73211110 mayorEquidigital2 (2^100) == 9987776666655443322222211000000 Soluciones import Data.List (sort, permutations) &#8212; 1\u00aa soluci\u00f3n &#8212; =========== mayorEquidigital1 :: Integer -> Integer mayorEquidigital1 = maximum . equidigitales&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false},"categories":[5],"tags":[8,15,11,228,95,32,33,14],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3403"}],"collection":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/comments?post=3403"}],"version-history":[{"count":2,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3403\/revisions"}],"predecessor-version":[{"id":3443,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3403\/revisions\/3443"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=3403"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=3403"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=3403"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}