{"id":2740,"date":"2016-12-26T05:30:28","date_gmt":"2016-12-26T03:30:28","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=2740"},"modified":"2017-01-02T09:13:04","modified_gmt":"2017-01-02T07:13:04","slug":"ternas-coprimas","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/ternas-coprimas\/","title":{"rendered":"Ternas coprimas"},"content":{"rendered":"<p>Definir la lista<\/p>\n<pre lang=\"text\">\n   ternasCoprimas :: [(Integer,Integer,Integer)]\n<\/pre>\n<p>cuyos elementos son ternas de <a href=\"http:\/\/bit.ly\/2he0EGU\">primos relativos<\/a> (a,b,c) tales que  a &lt; b y a + b = c. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   \u03bb> take 7 ternasCoprimas\n   [(1,2,3),(1,3,4),(2,3,5),(1,4,5),(3,4,7),(1,5,6),(2,5,7)]\n   \u03bb> ternasCoprimas !! 300000\n   (830,993,1823)\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\nternasCoprimas :: [(Integer,Integer,Integer)]\nternasCoprimas =\n  [(a,b,a+b) | b <- [1..]\n             , a <- [1..b-1]\n             , gcd a b == 1]\n\n-- Nota: Si a y b son coprimos, entonces tambi\u00e9n lo son a con a+b y b\n-- con a+b.  \n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Definir la lista ternasCoprimas :: [(Integer,Integer,Integer)] cuyos elementos son ternas de primos relativos (a,b,c) tales que a &lt; b y a + b = c. Por ejemplo, \u03bb> take 7 ternasCoprimas [(1,2,3),(1,3,4),(2,3,5),(1,4,5),(3,4,7),(1,5,6),(2,5,7)] \u03bb> ternasCoprimas !! 300000 (830,993,1823) Soluciones ternasCoprimas :: [(Integer,Integer,Integer)] ternasCoprimas = [(a,b,a+b) | b<\/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":[8],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/2740"}],"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=2740"}],"version-history":[{"count":6,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/2740\/revisions"}],"predecessor-version":[{"id":2776,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/2740\/revisions\/2776"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=2740"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=2740"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=2740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}