{"id":3588,"date":"2018-01-05T06:00:19","date_gmt":"2018-01-05T04:00:19","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=3588"},"modified":"2018-02-19T08:29:35","modified_gmt":"2018-02-19T06:29:35","slug":"padres-como-sumas-de-hijos","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/padres-como-sumas-de-hijos\/","title":{"rendered":"Padres como sumas de hijos"},"content":{"rendered":"<p>Los \u00e1rboles binarios con valores en las hojas y en los nodos se definen por<\/p>\n<pre lang=\"text\">\n   data Arbol a = H a\n                | N a (Arbol a) (Arbol a) \n     deriving (Eq, Show)\n<\/pre>\n<p>Por ejemplo, el \u00e1rbol<\/p>\n<pre lang=\"text\">\n         10\n        \/  \\\n       \/    \\\n      8      2\n     \/ \\    \/ \\\n    3   5  2   0\n<\/pre>\n<p>se pueden representar por<\/p>\n<pre lang=\"text\">\n   ejArbol :: Arbol Int\n   ejArbol = N 10 (N 8 (H 3) (H 5))\n                  (N 2 (H 2) (H 0))\n<\/pre>\n<p>Un \u00e1rbol cumple la propiedad de la suma si el valor de cada nodo es igual a la suma de los valores de sus hijos. Por ejemplo, el \u00e1rbol anterior cumple la propiedad de la suma.<\/p>\n<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   propSuma :: Arbol Int -> Bool\n<\/pre>\n<p>tal que (propSuma a) se verifica si el \u00e1rbol a cumple la propiedad de la suma. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   \u03bb> propSuma (N 10 (N 8 (H 3) (H 5)) (N 2 (H 2) (H 0)))\n   True\n   \u03bb> propSuma (N 10 (N 8 (H 4) (H 5)) (N 2 (H 2) (H 0)))\n   False\n   \u03bb> propSuma (N 10 (N 8 (H 3) (H 5)) (N 2 (H 2) (H 1)))\n   False\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\ndata Arbol a = H a\n             | N a (Arbol a) (Arbol a)\n  deriving Show\n\nejArbol :: Arbol Int\nejArbol = N 10 (N 8 (H 3) (H 5))\n               (N 2 (H 2) (H 0))\n\npropSuma :: Arbol Int -> Bool\npropSuma (H _)     = True\npropSuma (N x i d) = x == raiz i + raiz d && propSuma i && propSuma d\n             \nraiz :: Arbol Int -> Int\nraiz (H x)     = x\nraiz (N x _ _) = x\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Los \u00e1rboles binarios con valores en las hojas y en los nodos se definen por data Arbol a = H a | N a (Arbol a) (Arbol a) deriving (Eq, Show) Por ejemplo, el \u00e1rbol 10 \/ \\ \/ \\ 8 2 \/ \\ \/ \\ 3 5 2 0 se pueden representar por ejArbol&#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\/3588"}],"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=3588"}],"version-history":[{"count":3,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3588\/revisions"}],"predecessor-version":[{"id":3786,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3588\/revisions\/3786"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=3588"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=3588"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=3588"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}