{"id":1470,"date":"2015-05-19T06:00:24","date_gmt":"2015-05-19T04:00:24","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=1470"},"modified":"2015-06-13T16:31:06","modified_gmt":"2015-06-13T14:31:06","slug":"aplicacion-de-funciones-a-nodos-y-hojas","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/aplicacion-de-funciones-a-nodos-y-hojas\/","title":{"rendered":"Aplicaci\u00f3n de funciones a nodos y hojas"},"content":{"rendered":"<p>Representamos los \u00e1rboles binarios con elementos en las hojas y en los nodos mediante el tipo de dato<\/p>\n<pre lang=\"text\">\n   data Arbol a = H a | N a (Arbol a) (Arbol a) deriving Show\n<\/pre>\n<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   aplica :: (a -> a) -> (a -> a) -> Arbol a -> Arbol a\n<\/pre>\n<p>tal que (aplica f g a) devuelve el \u00e1rbol obtenido al aplicar la funci\u00f3n f a las hojas del \u00e1rbol a y la funci\u00f3n g a los nodos interiores. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   ghci> aplica (+1)(*2) (N 5 (N 2 (H 1) (H 2)) (N 3 (H 4) (H 2)))\n   N 10 (N 4 (H 2) (H 3)) (N 6 (H 5) (H 3))\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\ndata Arbol a = H a | N a (Arbol a) (Arbol a) deriving Show\n\naplica :: (a -> a) -> (a -> a) -> Arbol a -> Arbol a\naplica f g (H x)     = H (f x)\naplica f g (N x i d) = N (g x) (aplica f g i) (aplica f g d)\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Representamos los \u00e1rboles binarios con elementos en las hojas y en los nodos mediante el tipo de dato data Arbol a = H a | N a (Arbol a) (Arbol a) deriving Show Definir la funci\u00f3n aplica :: (a -> a) -> (a -> a) -> Arbol a -> Arbol a tal que (aplica f&#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":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1470"}],"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=1470"}],"version-history":[{"count":2,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1470\/revisions"}],"predecessor-version":[{"id":1517,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1470\/revisions\/1517"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=1470"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=1470"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=1470"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}