{"id":522,"date":"2014-10-30T07:00:10","date_gmt":"2014-10-30T05:00:10","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=522"},"modified":"2014-12-27T14:13:50","modified_gmt":"2014-12-27T12:13:50","slug":"divisibles-por-el-primero","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/divisibles-por-el-primero\/","title":{"rendered":"Divisibles por el primero"},"content":{"rendered":"<h4>Enunciado<\/h4>\n<pre lang=\"text\">\n-- Definir la funci\u00f3n\n--    divisiblesPorPrimero :: [Int] -> Bool\n-- tal que (divisibles xs) se verifica si todos los elementos positivos\n-- de xs son divisibles por el primero. Por ejemplo,\n--    divisiblesPorPrimero [2,6,-3,0,18,-17,10]  ==  True\n--    divisiblesPorPrimero [-13]                 ==  True\n--    divisiblesPorPrimero [-3,6,1,-3,9,18]      ==  False\n--    divisiblesPorPrimero [5,-2,-6,3]           ==  False\n--    divisiblesPorPrimero []                    ==  False\n--    divisiblesPorPrimero [0,2,4]               ==  False\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\n-- 1\u00aa definici\u00f3n (por comprensi\u00f3n)\ndivisiblesPorPrimero1 :: [Int] -> Bool\ndivisiblesPorPrimero1 []     = False\ndivisiblesPorPrimero1 (0:_)  = False\ndivisiblesPorPrimero1 (x:xs) = and [y `rem` x == 0 | y <- xs, y > 0]\n\n-- 2\u00aa definici\u00f3n (por recursi\u00f3n)\ndivisiblesPorPrimero2 :: [Int] -> Bool\ndivisiblesPorPrimero2 []     = False\ndivisiblesPorPrimero2 (0:_)  = False\ndivisiblesPorPrimero2 (x:xs) = aux xs\n    where aux [] = True\n          aux (y:ys) | y > 0     = y `rem` x == 0 && aux ys\n                     | otherwise = aux ys \n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Enunciado &#8212; Definir la funci\u00f3n &#8212; divisiblesPorPrimero :: [Int] -> Bool &#8212; tal que (divisibles xs) se verifica si todos los elementos positivos &#8212; de xs son divisibles por el primero. Por ejemplo, &#8212; divisiblesPorPrimero [2,6,-3,0,18,-17,10] == True &#8212; divisiblesPorPrimero [-13] == True &#8212; divisiblesPorPrimero [-3,6,1,-3,9,18] == False &#8212; divisiblesPorPrimero [5,-2,-6,3] == False &#8212; divisiblesPorPrimero&#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":[4],"tags":[100,8,6,31],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/522"}],"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=522"}],"version-history":[{"count":6,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/522\/revisions"}],"predecessor-version":[{"id":752,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/522\/revisions\/752"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=522"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=522"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=522"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}