{"id":1327,"date":"2015-04-15T05:00:31","date_gmt":"2015-04-15T03:00:31","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=1327"},"modified":"2022-03-25T20:22:50","modified_gmt":"2022-03-25T18:22:50","slug":"constante-de-champernowne","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/constante-de-champernowne\/","title":{"rendered":"Constante de Champernowne"},"content":{"rendered":"<p>La <a href=\"http:\/\/bit.ly\/1IBiyLr\">constante de Champernowne<\/a> es el n\u00famero irracional<\/p>\n<pre lang=\"text\">\n   0.12345678910111213141516171819202122232425262728293031323334 ...\n<\/pre>\n<p>cuya parte entera es 0 y la parte decimal se obtiene concatenado los n\u00fameros naturales a partir de 1.<\/p>\n<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   productoChampernowne :: [Int] -> Int\n<\/pre>\n<p>tal que (productoChampernowne ns) es el producto de los d\u00edgitos de la constante de Champernowne que ocupan las posiciones ns. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   productoChampernowne [0,1,2]                 ==  6\n   productoChampernowne [8,20]                  ==  45\n   productoChampernowne [10^i-1 | i <- [0..7]]  ==  1470\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\nimport Data.Char (digitToInt)\n\nproductoChampernowne :: [Int] -> Int\nproductoChampernowne ns = product [champernowne !! n | n <- ns] \n\n-- champernowne  es la sucesi\u00f3n de champernowne. Por ejemplo,\n--    ghci> take 20 champernowne\n--    [1,2,3,4,5,6,7,8,9,1,0,1,1,1,2,1,3,1,4,1]\nchampernowne :: [Int] \nchampernowne = map digitToInt (concatMap show [1..]) \n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>La constante de Champernowne es el n\u00famero irracional 0.12345678910111213141516171819202122232425262728293031323334 &#8230; cuya parte entera es 0 y la parte decimal se obtiene concatenado los n\u00fameros naturales a partir de 1. Definir la funci\u00f3n productoChampernowne :: [Int] -> Int tal que (productoChampernowne ns) es el producto de los d\u00edgitos de la constante de Champernowne que ocupan las&#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":[8,58,248,415,10,11,33],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1327"}],"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=1327"}],"version-history":[{"count":4,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1327\/revisions"}],"predecessor-version":[{"id":1356,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1327\/revisions\/1356"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=1327"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=1327"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=1327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}