{"id":5210,"date":"2013-04-01T19:30:55","date_gmt":"2013-04-01T22:30:55","guid":{"rendered":"http:\/\/scienceblogs.com.br\/hypercubic\/?p=5210"},"modified":"2013-04-01T19:30:55","modified_gmt":"2013-04-01T22:30:55","slug":"enigma-salve-se-quem-puder","status":"publish","type":"post","link":"https:\/\/www.blogs.unicamp.br\/hypercubic\/2013\/04\/enigma-salve-se-quem-puder\/","title":{"rendered":"[Enigma] Salve-se quem puder?"},"content":{"rendered":"<figure style=\"width: 477px\" class=\"wp-caption aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" title=\"Vincent Van Gogh, \u2018La ronde des prisonniers\u2019, 1890\" alt=\"Vincent_van_Gogh\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/04\/Vincent_van_Gogh.jpg\" width=\"477\" height=\"599\" \/><figcaption class=\"wp-caption-text\">Vincent Van Gogh, \u2018La ronde des prisonniers\u2019, 1890<\/figcaption><\/figure>\n<p align=\"justify\">A penitenci\u00e1ria est\u00e1 lotada e o diretor n\u00e3o sabe mais o que fazer. Incapaz de decidir quem deve soltar ou quem deve ser morto, o diretor prop\u00f5e uma sa\u00edda matem\u00e1tica. Os nomes de 100 prisioneiros s\u00e3o colocados em um peda\u00e7o de papel e guardados dentro de 100 caixas de madeira (um nome em cada caixa). E as caixas, por sua vez, s\u00e3o postas no gin\u00e1sio da pris\u00e3o. \u201cUm por um\u201d, explica o diretor, durante o an\u00fancio do esquema, \u201cos prisioneiros ser\u00e3o levados ao gin\u00e1sio pelos guardas. \u00c0 procura de seu nome, cada um pode olhar no m\u00e1ximo 50 caixas, mas deve sair sem mudar o modo como elas est\u00e3o arranjadas. Depois da sa\u00edda do gin\u00e1sio, fica proibida a comunica\u00e7\u00e3o entre os detentos.\u201d<\/p>\n<p align=\"justify\">Os prisioneiros percebem que h\u00e1 uma brecha nas regras, que lhes d\u00e1 a chance de criar uma estrat\u00e9gia para facilitar as buscas. E eles v\u00e3o mesmo precisar se entender, j\u00e1 que <em>cada prisioneiro dever\u00e1 encontrar seu pr\u00f3prio nome<\/em>. Se isso n\u00e3o acontecer, todos eles ser\u00e3o executados.<\/p>\n<p align=\"justify\">Assim, como evitar que todo mundo procure nas mesmas caixas?<\/p>\n<ul>\n<li>\n<div align=\"justify\"><strong>N\u00edvel:<\/strong> de m\u00e9dio para dif\u00edcil. A l\u00f3gica \u00e9 simples at\u00e9, mas a matem\u00e1tica para comprov\u00e1-la \u00e9 mais complicada.<strong> <\/strong><\/div>\n<\/li>\n<li>\n<div align=\"justify\"><strong>Dica:<\/strong> <span style=\"color: #ffffff\">se cada prisioneiro examinar um conjunto aleat\u00f3rio de 50 caixas, a probabilidade de sobreviv\u00eancia dos condenados \u00e9 de m\u00edseros 1\/2^100\u00a0\u2248 0,0000000000000000000000000000008. \u00c9 claro que o resultado poderia ser pior, especialmente se todos eles olharem para as<em> mesmas 50 caixas<\/em> \u2014 nesse caso, as chances caem a <em>zero<\/em>. Entretanto, \u00e9 poss\u00edvel elevar a probabilidade de sobreviv\u00eancia para aproximadamente 30%.<\/span><\/div>\n<\/li>\n<li>\n<div align=\"justify\"><strong>Solu\u00e7\u00e3o:<\/strong> ser\u00e1 publicada, assim que me for poss\u00edvel, na sexta, 05\/04.<\/div>\n<\/li>\n<li>\n<h3 style=\"text-align: justify\">UPDATE (04\/04, 20H05): Eu n\u00e3o devia, mas vou lhes ajudar. Considerando a dificuldade deste enigma, as poucas manifesta\u00e7\u00f5es e que, por motivos pessoais, n\u00e3o me ser\u00e1 poss\u00edvel publicar a resposta na sexta-feita (amanh\u00e3), decreto que a resposta e a discus\u00e3o dos coment\u00e1rios ser\u00e1 feita no domingo, 07\/04.<\/h3>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>A penitenci\u00e1ria est\u00e1 lotada e o diretor n\u00e3o sabe mais o que fazer. Incapaz de decidir quem deve soltar ou quem deve ser morto, o diretor prop\u00f5e uma sa\u00edda matem\u00e1tica. Os nomes de 100 prisioneiros s\u00e3o colocados em um peda\u00e7o de papel e guardados dentro de 100 caixas de madeira (um nome em cada caixa). [&hellip;]<\/p>\n","protected":false},"author":486,"featured_media":5218,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"material-hide-sections":[],"pgc_sgb_lightbox_settings":"","_vp_format_video_url":"","_vp_image_focal_point":[],"footnotes":""},"categories":[99,198,203],"tags":[],"class_list":["post-5210","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-enigmas","category-logica","category-matematica"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>[Enigma] Salve-se quem puder? - hypercubic<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.blogs.unicamp.br\/hypercubic\/2013\/04\/enigma-salve-se-quem-puder\/\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Renato Pincelli\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2013\\\/04\\\/enigma-salve-se-quem-puder\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2013\\\/04\\\/enigma-salve-se-quem-puder\\\/\"},\"author\":{\"name\":\"Renato Pincelli\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/#\\\/schema\\\/person\\\/c7be1e2811d061a75d3b4f4960eb53bd\"},\"headline\":\"[Enigma] Salve-se quem puder?\",\"datePublished\":\"2013-04-01T22:30:55+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2013\\\/04\\\/enigma-salve-se-quem-puder\\\/\"},\"wordCount\":354,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2013\\\/04\\\/enigma-salve-se-quem-puder\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/wp-content\\\/uploads\\\/sites\\\/249\\\/2013\\\/04\\\/Vincent_van_Gogh1.jpg\",\"articleSection\":[\"enigmas\",\"l\u00f3gica\",\"matem\u00e1tica\"],\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2013\\\/04\\\/enigma-salve-se-quem-puder\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2013\\\/04\\\/enigma-salve-se-quem-puder\\\/\",\"url\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2013\\\/04\\\/enigma-salve-se-quem-puder\\\/\",\"name\":\"[Enigma] Salve-se quem puder? 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