{"id":1111,"date":"2015-02-20T09:13:27","date_gmt":"2015-02-20T07:13:27","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=1111"},"modified":"2015-04-26T19:43:49","modified_gmt":"2015-04-26T17:43:49","slug":"diagonales-secundarias-de-una-matriz","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/diagonales-secundarias-de-una-matriz\/","title":{"rendered":"Diagonales secundarias de una matriz"},"content":{"rendered":"<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   diagonalesSecundarias :: Matriz a -> [[a]]\n<\/pre>\n<p>tal que (diagonalesSecundarias p) es la lista de las diagonales secundarias de p. Por ejemplo, para la matriz<\/p>\n<pre lang=\"text\">\n   1  2  3  4\n   5  6  7  8\n   9 10 11 12\n<\/pre>\n<p>la lista de sus diagonales secundarias es<\/p>\n<pre lang=\"text\">\n   [[1],[2,5],[3,6,9],[4,7,10],[8,11],[12]]\n<\/pre>\n<p>En Haskell,<\/p>\n<pre lang=\"text\">\n   ghci> diagonalesSecundarias (listArray ((1,1),(3,4)) [1..12])\n   [[1],[2,5],[3,6,9],[4,7,10],[8,11],[12]]\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\nimport Data.Array\n\ntype Matriz a = Array (Int,Int) a\n\ndiagonalesSecundarias :: Matriz a -> [[a]]\ndiagonalesSecundarias p = \n    [[p!ij1 | ij1 <- extension ij] | ij <- iniciales]\n    where (_,(m,n)) = bounds p\n          iniciales = [(1,j) | j <- [1..n]] ++ [(i,n) | i <- [2..m]] \n          extension (i,j) = [(i+k,j-k) | k <- [0..min (j-1) (m-i)]]\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Definir la funci\u00f3n diagonalesSecundarias :: Matriz a -> [[a]] tal que (diagonalesSecundarias p) es la lista de las diagonales secundarias de p. Por ejemplo, para la matriz 1 2 3 4 5 6 7 8 9 10 11 12 la lista de sus diagonales secundarias es [[1],[2,5],[3,6,9],[4,7,10],[8,11],[12]] En Haskell, ghci> diagonalesSecundarias (listArray ((1,1),(3,4)) [1..12]) [[1],[2,5],[3,6,9],[4,7,10],[8,11],[12]]&#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":[43,8,42,84],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1111"}],"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=1111"}],"version-history":[{"count":5,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1111\/revisions"}],"predecessor-version":[{"id":1369,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1111\/revisions\/1369"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=1111"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=1111"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=1111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}