{"id":2238,"date":"2016-03-16T06:00:57","date_gmt":"2016-03-16T04:00:57","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=2238"},"modified":"2016-03-30T06:17:14","modified_gmt":"2016-03-30T04:17:14","slug":"rotacion-de-una-matriz","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/rotacion-de-una-matriz\/","title":{"rendered":"Rotaci\u00f3n de una matriz"},"content":{"rendered":"<p>En la siguiente figura, al rotar girando 90 grados en el sentido del reloj la matriz de la izquierda, obtenemos la de la derecha<\/p>\n<pre lang=\"text\">\n   1 2 3        7 4 1\n   4 5 6        8 5 2\n   7 8 9        9 6 3\n<\/pre>\n<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   rota :: Matrix Int -> Matrix Int\n<\/pre>\n<p>tal que (rota p) es la matriz obtenida girando en el sentido del reloj la matriz cuadrada p. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   \u03bb> rota (fromList 3 3 [1..9])\n   ( 7 4 1 )\n   ( 8 5 2 )\n   ( 9 6 3 )\n   \n   \u03bb> rota (fromList 3 3 [7,4,1,8,5,2,9,6,3])\n   ( 9 8 7 )\n   ( 6 5 4 )\n   ( 3 2 1 )\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\nimport Data.Matrix\n\nrota :: Matrix Int -> Matrix Int\nrota p = matrix n m (\\(i,j) -> p ! (n+1-j,i))\n    where m = nrows p\n          n = ncols p\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>En la siguiente figura, al rotar girando 90 grados en el sentido del reloj la matriz de la izquierda, obtenemos la de la derecha 1 2 3 7 4 1 4 5 6 8 5 2 7 8 9 9 6 3 Definir la funci\u00f3n rota :: Matrix Int -> Matrix Int tal que (rota&#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":[42,97,99,98],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/2238"}],"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=2238"}],"version-history":[{"count":3,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/2238\/revisions"}],"predecessor-version":[{"id":2264,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/2238\/revisions\/2264"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=2238"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=2238"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=2238"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}