{"id":918,"date":"2015-01-06T06:00:01","date_gmt":"2015-01-06T04:00:01","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=918"},"modified":"2015-01-13T07:48:18","modified_gmt":"2015-01-13T05:48:18","slug":"varios-cuadrados-encajados","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/varios-cuadrados-encajados\/","title":{"rendered":"Varios cuadrados encajados"},"content":{"rendered":"<h4>Enunciado<\/h4>\n<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\">\n   cuadrados :: Int -> Picture\n<\/pre>\n<p>tal que (cuadrados n) dibuje n cuadrados encajados como se muestra en las siguientes figuras:<\/p>\n<ul>\n<li>para n=2<br \/>\n<a href=\"https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_2.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_2.png?resize=538%2C541\" alt=\"Cuadrados_encajados_2\" width=\"538\" height=\"541\" class=\"alignnone size-full wp-image-922\" srcset=\"https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_2.png?w=538&amp;ssl=1 538w, https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_2.png?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_2.png?resize=298%2C300&amp;ssl=1 298w, https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_2.png?resize=100%2C100&amp;ssl=1 100w\" sizes=\"(max-width: 538px) 100vw, 538px\" data-recalc-dims=\"1\" \/><\/a><\/p>\n<\/li>\n<li>\n<p>para n=4<br \/>\n<a href=\"https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_4.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_4.png?resize=538%2C545\" alt=\"Cuadrados_encajados_4\" width=\"538\" height=\"545\" class=\"alignnone size-full wp-image-923\" srcset=\"https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_4.png?w=538&amp;ssl=1 538w, https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_4.png?resize=296%2C300&amp;ssl=1 296w, https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_4.png?resize=98%2C100&amp;ssl=1 98w, https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_4.png?resize=148%2C150&amp;ssl=1 148w\" sizes=\"(max-width: 538px) 100vw, 538px\" data-recalc-dims=\"1\" \/><\/a><\/p>\n<\/li>\n<li>\n<p>para n=10<br \/>\n<a href=\"https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_10.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_10.png?resize=531%2C533\" alt=\"Cuadrados_encajados_10\" width=\"531\" height=\"533\" class=\"alignnone size-full wp-image-924\" srcset=\"https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_10.png?w=531&amp;ssl=1 531w, https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_10.png?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_10.png?resize=298%2C300&amp;ssl=1 298w, https:\/\/i0.wp.com\/www.glc.us.es\/~jalonso\/exercitium\/wp-content\/uploads\/2015\/01\/Cuadrados_encajados_10.png?resize=100%2C100&amp;ssl=1 100w\" sizes=\"(max-width: 531px) 100vw, 531px\" data-recalc-dims=\"1\" \/><\/a><\/p>\n<\/li>\n<\/ul>\n<p><strong>Nota:<\/strong> Escribir las soluciones usando la siguiente plantilla<\/p>\n<pre lang=\"haskell\">\nimport Graphics.Gloss\nimport System.IO\n    \nmain :: IO ()\nmain = do\n  hSetBuffering stdout NoBuffering\n  putStr \"Introduce el numero de cuadrados [1..10]: \"\n  n <- readLn\n  display (InWindow (show n ++ \" cuadrados encajados\" ) \n                    (600,600) (20,20)) white (cuadrados n)\n    \ncuadrados :: Int -> Picture\ncuadrados n = undefined\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\nimport Graphics.Gloss\nimport System.IO\n    \nmain :: IO ()\nmain = do\n  hSetBuffering stdout NoBuffering\n  putStr \"Introduce el numero de cuadrados [1..10]: \"\n  n <- readLn\n  display (InWindow (show n ++ \" cuadrados encajados\" ) \n                    (600,600) (20,20)) white (cuadrados n)\n    \n-- 1\u00aa soluci\u00f3n (por comprensi\u00f3n):    \ncuadrados :: Int -> Picture\ncuadrados n = \n    pictures [scale (r^n) (r^n) $ rotate (g n) $ cuadrado | n <- [0..n-1]]\n    where cuadrado        = rectangleWire 500 500\n          g n | even n    = 0\n              | otherwise = 45\n          r               = 1 \/ sqrt 2\n\n-- 2\u00aa soluci\u00f3n (por recursi\u00f3n):    \ncuadrados2 :: Int -> Picture\ncuadrados2 1 = rectangleWire 500 500\ncuadrados2 n = \n    pictures [rectangleWire 500 500,\n              rotate 45 $ scale (1\/sqrt 2) (1\/sqrt 2) (cuadrados2 (n-1))]\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Definir la funci\u00f3n cuadrados :: Int -> Picture tal que (cuadrados n) dibuje n cuadrados encajados como se muestra en las siguientes figuras: para n=2 para n=4 para n=10 Nota: Escribir las soluciones usando la siguiente plantilla import Graphics.Gloss import System.IO main :: IO () main = do hSetBuffering stdout NoBuffering putStr \u00abIntroduce el&#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":[8,229,231,91,230,237,233,238,239,240,6,180,234,236],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/918"}],"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=918"}],"version-history":[{"count":10,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/918\/revisions"}],"predecessor-version":[{"id":921,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/918\/revisions\/921"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=918"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=918"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=918"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}