{"id":3274,"date":"2017-04-27T07:29:01","date_gmt":"2017-04-27T05:29:01","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=3274"},"modified":"2017-05-11T07:09:39","modified_gmt":"2017-05-11T05:09:39","slug":"suma-de-arboles-por-niveles","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/suma-de-arboles-por-niveles\/","title":{"rendered":"Suma de \u00e1rboles por niveles"},"content":{"rendered":"<p>Los \u00e1rboles binarios con valores enteros se pueden representar con el de tipo de dato algebraico<\/p>\n<pre lang=\"text\">\n   data Arbol = H\n              | N a Arbol Arbol\n<\/pre>\n<p>Por ejemplo, los \u00e1rboles<\/p>\n<pre lang=\"text\">\n       3                7     \n      \/ \\              \/ \\    \n     2   4            5   8   \n    \/ \\   \\          \/ \\   \\  \n   1   3   5        6   4   10\n                       \/   \/\n                      9   1\n<\/pre>\n<p>se representan por<\/p>\n<pre lang=\"text\">\n   ej1, ej2 :: Arbol \n   ej1 = N 3 (N 2 (N 1 H H) (N 3 H H)) (N 4 H (N 5 H H))\n   ej2 = N 7 (N 5 (N 6 H H) (N 4 (N 9 H H) H)) (N 8 H (N 10 (N 1 H H) H))\n<\/pre>\n<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   suma :: Arbol -> Int\n<\/pre>\n<p>tal que (suma a) es la suma de todos los nodos a una distancia par de la ra\u00edz del \u00e1rbol a menos la suma de todos los nodos a una distancia impar de la ra\u00edz. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   suma ej1  ==  6\n   suma ej2  ==  4\n<\/pre>\n<p>ya que<\/p>\n<pre lang=\"text\">\n    (3 + 1+3+5) - (2+4)        = 6\n    (7 + 6+4+10) - (5+8 + 9+1) = 4 \n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\ndata Arbol = H\n           | N Int Arbol Arbol\n\nej1, ej2 :: Arbol \nej1 = N 3 (N 2 (N 1 H H) (N 3 H H)) (N 4 H (N 5 H H))\nej2 = N 7 (N 5 (N 6 H H) (N 4 (N 9 H H) H)) (N 8 H (N 10 (N 1 H H) H))\n\nsuma :: Arbol -> Int\nsuma H         = 0\nsuma (N x i d) = x - suma i - suma d\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Los \u00e1rboles binarios con valores enteros se pueden representar con el de tipo de dato algebraico data Arbol = H | N a Arbol Arbol Por ejemplo, los \u00e1rboles 3 7 \/ \\ \/ \\ 2 4 5 8 \/ \\ \\ \/ \\ \\ 1 3 5 6 4 10 \/ \/ 9 1&#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":[269,6],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3274"}],"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=3274"}],"version-history":[{"count":3,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3274\/revisions"}],"predecessor-version":[{"id":3292,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3274\/revisions\/3292"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=3274"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=3274"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=3274"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}