{"id":1163,"date":"2015-03-05T07:41:50","date_gmt":"2015-03-05T05:41:50","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=1163"},"modified":"2016-05-01T20:40:06","modified_gmt":"2016-05-01T18:40:06","slug":"caminos-en-un-arbol-binario","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/caminos-en-un-arbol-binario\/","title":{"rendered":"Caminos en un \u00e1rbol binario"},"content":{"rendered":"<p>Los caminos en los \u00e1rboles binarios<\/p>\n<pre lang=\"text\">\n       .          .\n      \/ \\        \/ \\\n     .   .      \/   \\\n    \/ \\        .     .\n   .   .      \/ \\   \/ \\\n             .   . .   .  \n<\/pre>\n<p>son [[I,I],[I,D],[D]] y [[I,I],[I,D],[D,I],[D,D]], donde I indica un movimiento hacia la izquierda y D uno hacia la derecha.<\/p>\n<p>Los \u00e1rboles binarios se pueden representar por<\/p>\n<pre lang=\"text\">\n   data Arbol = H | N Arbol Arbol\n<\/pre>\n<p>los movimientos por<\/p>\n<pre lang=\"text\">\n   data Mov    = I | D deriving Show \n<\/pre>\n<p>y los caminos por<\/p>\n<pre lang=\"text\">\n   type Camino = [Mov]\n<\/pre>\n<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   caminos :: Arbol -> [Camino]\n<\/pre>\n<p>tal que (caminos a) es la lista de los caminos en el \u00e1rbol binario a. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   caminos (N (N H H) H)             == [[I,I],[I,D],[D]]\n   caminos (N (N H H) (N H H))       == [[I,I],[I,D],[D,I],[D,D]]\n   caminos (N H (N (N H H) (N H H))) == [[I],[D,I,I],[D,I,D],[D,D,I],[D,D,D]]\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\ndata Arbol  = H | N Arbol Arbol\ndata Mov    = I | D deriving Show\ntype Camino = [Mov]\n\ncaminos :: Arbol -> [Camino]\ncaminos H       = [[]]\ncaminos (N i d) = [I:xs | xs <- caminos i] ++ [D:xs | xs <- caminos d]\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Los caminos en los \u00e1rboles binarios . . \/ \\ \/ \\ . . \/ \\ \/ \\ . . . . \/ \\ \/ \\ . . . . son [[I,I],[I,D],[D]] y [[I,I],[I,D],[D,I],[D,D]], donde I indica un movimiento hacia la izquierda y D uno hacia la derecha. Los \u00e1rboles binarios se pueden representar por&#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":[269,10,11,6,133],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1163"}],"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=1163"}],"version-history":[{"count":4,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1163\/revisions"}],"predecessor-version":[{"id":2385,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1163\/revisions\/2385"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=1163"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=1163"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=1163"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}