{"id":12508,"date":"2018-02-10T21:54:18","date_gmt":"2018-02-10T23:54:18","guid":{"rendered":"http:\/\/www.pontoinfinito.com.br\/MundoMaker\/?p=903"},"modified":"2018-02-10T21:54:18","modified_gmt":"2018-02-10T23:54:18","slug":"enigma-das-arvores","status":"publish","type":"post","link":"https:\/\/bayerlstudio.com.br\/mundomaker\/enigma-das-arvores\/","title":{"rendered":"Desafio da semana: o enigma das \u00e1rvores"},"content":{"rendered":"\n<div id=\"block-2b9cf935c642bf0123fd\" class=\"sqs-block html-block sqs-block-html\" data-block-type=\"2\">\n<div class=\"sqs-block-content\">\n\nE a\u00ed, preparado para o desafio de hoje?\n\nSua miss\u00e3o \u00e9 projetar um arranjo de \u00e1rvores em uma ilha deserta, como a da foto abaixo:\n\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_34704\" class=\"sqs-block image-block sqs-block-image sqs-text-ready\" data-block-type=\"5\">\n<div id=\"yui_3_17_2_1_1545522896493_118\" class=\"sqs-block-content\">\n<div id=\"yui_3_17_2_1_1545522896493_117\" class=\"image-block-outer-wrapper layout-caption-below design-layout-inline \">\n<div id=\"yui_3_17_2_1_1545522896493_116\" class=\"intrinsic\">\n<div id=\"yui_3_17_2_1_1545522896493_115\" class=\"image-block-wrapper has-aspect-ratio\" data-description=\"\">\n\n<figure id=\"attachment_907\" aria-describedby=\"caption-attachment-907\" style=\"width: 620px\" class=\"wp-caption aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-907\" src=\"https:\/\/www.pontoinfinito.com.br\/wp-content\/uploads\/2018\/12\/1.jpg\" alt=\"\" width=\"620\" height=\"372\" \/><figcaption id=\"caption-attachment-907\" class=\"wp-caption-text\">Vista a\u00e9rea de cinco \u00e1rvores em uma ilha<\/figcaption><\/figure>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_34985\" class=\"sqs-block html-block sqs-block-html\" data-block-type=\"2\">\n<div class=\"sqs-block-content\">\n\nSe houver apenas uma \u00fanica \u00e1rvore na ilha voc\u00ea sempre dever\u00e1 ser capaz de ver essa \u00e1rvore, n\u00e3o importa onde estiver posicionado.\n\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_39370\" class=\"sqs-block image-block sqs-block-image sqs-text-ready\" data-block-type=\"5\">\n<div id=\"yui_3_17_2_1_1545522896493_140\" class=\"sqs-block-content\">\n<div id=\"yui_3_17_2_1_1545522896493_139\" class=\"image-block-outer-wrapper layout-caption-below design-layout-inline \">\n<div id=\"yui_3_17_2_1_1545522896493_138\" class=\"intrinsic\">\n<div id=\"yui_3_17_2_1_1545522896493_137\" class=\"image-block-wrapper has-aspect-ratio\" data-description=\"\">\n\n<figure id=\"attachment_908\" aria-describedby=\"caption-attachment-908\" style=\"width: 620px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"size-full wp-image-908\" src=\"https:\/\/www.pontoinfinito.com.br\/wp-content\/uploads\/2018\/12\/2.jpg\" alt=\"\" width=\"620\" height=\"266\" \/><figcaption id=\"caption-attachment-908\" class=\"wp-caption-text\">Ilha com uma \u00fanica \u00e1rvore. De cada um dos dois pontos pretos, voc\u00ea \u00e9 capaz de v\u00ea-la.<\/figcaption><\/figure>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_39650\" class=\"sqs-block html-block sqs-block-html\" data-block-type=\"2\">\n<div class=\"sqs-block-content\">\n\nSe colocarmos duas \u00e1rvores, no entanto, existir\u00e3o alguns lugares onde voc\u00ea poder\u00e1 ver ambas, mas em outros voc\u00ea conseguir\u00e1 ver apenas uma, j\u00e1 que a outra estar\u00e1 fora de seu campo de vis\u00e3o.\n\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_43825\" class=\"sqs-block image-block sqs-block-image sqs-text-ready\" data-block-type=\"5\">\n<div id=\"yui_3_17_2_1_1545522896493_157\" class=\"sqs-block-content\">\n<div id=\"yui_3_17_2_1_1545522896493_156\" class=\"image-block-outer-wrapper layout-caption-below design-layout-inline \">\n<div id=\"yui_3_17_2_1_1545522896493_155\" class=\"intrinsic\">\n<div id=\"yui_3_17_2_1_1545522896493_154\" class=\"image-block-wrapper has-aspect-ratio\" data-description=\"\">\n\n<figure id=\"attachment_910\" aria-describedby=\"caption-attachment-910\" style=\"width: 620px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"size-full wp-image-910\" src=\"https:\/\/www.pontoinfinito.com.br\/wp-content\/uploads\/2018\/02\/3.jpg\" alt=\"\" width=\"620\" height=\"283\" \/><figcaption id=\"caption-attachment-910\" class=\"wp-caption-text\">Uma ilha com duas \u00e1rvores. De um dos pontos negros, voc\u00ea pode ver ambas, mas do outro ponto voc\u00ea s\u00f3 pode ver uma, j\u00e1 que a outra est\u00e1 escondida atr\u00e1s dela.<\/figcaption><\/figure>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_44105\" class=\"sqs-block html-block sqs-block-html\" data-block-type=\"2\">\n<div class=\"sqs-block-content\">\n\n(Para os prop\u00f3sitos deste quebra-cabe\u00e7a, a ilha est\u00e1 completamente vazia al\u00e9m das \u00e1rvores, e uma \u00e1rvore est\u00e1 escondida somente quando est\u00e1 diretamente atr\u00e1s de outra \u00e1rvore na perspectiva do observador).\n\n<strong>Problema 1<\/strong>\n\nA ilha tem 5 \u00e1rvores posicionadas nos v\u00e9rtices de um pent\u00e1gono regular, conforme abaixo. \u00c9 poss\u00edvel para voc\u00ea e dois amigos ficarem posicionados na ilha de forma que cada uma veja um n\u00famero diferente de \u00e1rvores?\n\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_48224\" class=\"sqs-block image-block sqs-block-image sqs-text-ready\" data-block-type=\"5\">\n<div id=\"yui_3_17_2_1_1545522896493_174\" class=\"sqs-block-content\">\n<div id=\"yui_3_17_2_1_1545522896493_173\" class=\"image-block-outer-wrapper layout-caption-below design-layout-inline \">\n<div id=\"yui_3_17_2_1_1545522896493_172\" class=\"intrinsic\">\n<div id=\"yui_3_17_2_1_1545522896493_171\" class=\"image-block-wrapper has-aspect-ratio\" data-description=\"\">\n\n<figure id=\"attachment_911\" aria-describedby=\"caption-attachment-911\" style=\"width: 620px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-911\" src=\"https:\/\/www.pontoinfinito.com.br\/wp-content\/uploads\/2018\/02\/4.jpg\" alt=\"\" width=\"620\" height=\"372\" \/><figcaption id=\"caption-attachment-911\" class=\"wp-caption-text\">\u00c1rvores nos v\u00e9rtices de um pent\u00e1gono<\/figcaption><\/figure>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_48504\" class=\"sqs-block html-block sqs-block-html\" data-block-type=\"2\">\n<div class=\"sqs-block-content\">\n\n<strong>Problema 2<\/strong>\n\nSe a ilhar tiver 6 \u00e1rvores, qual \u00e9 o maior n\u00famero poss\u00edvel de pessoas que podem ficar na ilha, sendo que cada uma deve ver um n\u00famero diferente de \u00e1rvores?\n\nRole para baixo para ver a solu\u00e7\u00e3o!\n\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_52856\" class=\"sqs-block image-block sqs-block-image sqs-text-ready\" data-block-type=\"5\">\n<div id=\"yui_3_17_2_1_1545522896493_191\" class=\"sqs-block-content\">\n<div id=\"yui_3_17_2_1_1545522896493_190\" class=\"image-block-outer-wrapper layout-caption-below design-layout-inline \">\n<div id=\"yui_3_17_2_1_1545522896493_189\" class=\"intrinsic\">\n<div id=\"yui_3_17_2_1_1545522896493_188\" class=\"image-block-wrapper has-aspect-ratio\" data-description=\"\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-904\" src=\"https:\/\/www.pontoinfinito.com.br\/wp-content\/uploads\/2018\/12\/tree.jpg\" alt=\"\" width=\"620\" height=\"372\" \/><\/div>\n<div data-description=\"\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_53136\" class=\"sqs-block html-block sqs-block-html\" data-block-type=\"2\">\n<div class=\"sqs-block-content\">\n\n<strong>Solu\u00e7\u00e3o: problema 1<\/strong>\n\nAqui est\u00e3o as tr\u00eas posi\u00e7\u00f5es das quais voc\u00ea pode ver 3, 4 e 5 \u00e1rvores.\n\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_57316\" class=\"sqs-block image-block sqs-block-image sqs-text-ready\" data-block-type=\"5\">\n<div id=\"yui_3_17_2_1_1545522896493_208\" class=\"sqs-block-content\">\n<div id=\"yui_3_17_2_1_1545522896493_207\" class=\"image-block-outer-wrapper layout-caption-below design-layout-inline \">\n<div id=\"yui_3_17_2_1_1545522896493_206\" class=\"intrinsic\">\n<div id=\"yui_3_17_2_1_1545522896493_205\" class=\"image-block-wrapper has-aspect-ratio\" data-description=\"\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-913\" src=\"https:\/\/www.pontoinfinito.com.br\/wp-content\/uploads\/2018\/02\/5.jpg\" alt=\"\" width=\"620\" height=\"372\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_57595\" class=\"sqs-block html-block sqs-block-html\" data-block-type=\"2\">\n<div class=\"sqs-block-content\">\n<strong>Problema 2<\/strong>\n\nPoder\u00edamos supor que o maior n\u00famero poss\u00edvel de pessoas seria 6, que s\u00e3o capazes de ver 1, 2, 3, 4, 5 e 6 \u00e1rvores, respectivamente. No entanto, isso \u00e9 imposs\u00edvel, considerando que a \u00fanica maneira de uma pessoa ver uma \u00fanica \u00e1rvore seria se as \u00e1rvores estivessem na mesma linha, conforme abaixo. Mas se elas estivessem na mesma linha n\u00e3o haveria posi\u00e7\u00e3o a partir da qual uma pessoa poderia ver exatamente 3 \u00e1rvores.\n\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_61355\" class=\"sqs-block image-block sqs-block-image sqs-text-ready\" data-block-type=\"5\">\n<div id=\"yui_3_17_2_1_1545522896493_225\" class=\"sqs-block-content\">\n<div id=\"yui_3_17_2_1_1545522896493_224\" class=\"image-block-outer-wrapper layout-caption-below design-layout-inline \">\n<div id=\"yui_3_17_2_1_1545522896493_223\" class=\"intrinsic\">\n<div id=\"yui_3_17_2_1_1545522896493_222\" class=\"image-block-wrapper has-aspect-ratio\" data-description=\"\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-914\" src=\"https:\/\/www.pontoinfinito.com.br\/wp-content\/uploads\/2018\/02\/6.jpg\" alt=\"\" width=\"620\" height=\"351\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_61634\" class=\"sqs-block html-block sqs-block-html\" data-block-type=\"2\">\n<div class=\"sqs-block-content\">\n\nEnt\u00e3o, a resposta \u00e9 no m\u00e1ximo 5.\n\n<\/div>\n<\/div>\n<div id=\"block-yui_3_17_2_1_1518266897360_65550\" class=\"sqs-block html-block sqs-block-html\" data-block-type=\"2\">\n<div class=\"sqs-block-content\">\n\n<figure id=\"attachment_915\" aria-describedby=\"caption-attachment-915\" style=\"width: 620px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-915\" src=\"https:\/\/www.pontoinfinito.com.br\/wp-content\/uploads\/2018\/02\/7.jpg\" alt=\"\" width=\"620\" height=\"372\" \/><figcaption id=\"caption-attachment-915\" class=\"wp-caption-text\">As \u00e1rvores est\u00e3o dispostas em duas linhas perpendiculares. Cada ponto preto numerado mostra uma posi\u00e7\u00e3o de onde voc\u00ea pode ver um n\u00famero x de \u00e1rvores.<\/figcaption><\/figure>\n\nE a\u00ed, conseguiu resolver o desafio? Gostou? Ent\u00e3o, fique ligado que em breve teremos mais!\n\n&nbsp;\n\n<em>Fonte: The Guardian<\/em>\n\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>E a\u00ed, preparado para o desafio de hoje? Sua miss\u00e3o \u00e9 projetar um arranjo de \u00e1rvores em uma ilha deserta, como a da foto abaixo: Se houver apenas uma \u00fanica \u00e1rvore na ilha voc\u00ea sempre dever\u00e1 ser capaz de ver essa \u00e1rvore, n\u00e3o importa onde estiver posicionado. Se colocarmos duas \u00e1rvores, no entanto, existir\u00e3o alguns [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4444,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[35],"class_list":["post-12508","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blogmundomaker","tag-desafio"],"_links":{"self":[{"href":"https:\/\/bayerlstudio.com.br\/mundomaker\/wp-json\/wp\/v2\/posts\/12508","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bayerlstudio.com.br\/mundomaker\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bayerlstudio.com.br\/mundomaker\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bayerlstudio.com.br\/mundomaker\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bayerlstudio.com.br\/mundomaker\/wp-json\/wp\/v2\/comments?post=12508"}],"version-history":[{"count":0,"href":"https:\/\/bayerlstudio.com.br\/mundomaker\/wp-json\/wp\/v2\/posts\/12508\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bayerlstudio.com.br\/mundomaker\/wp-json\/"}],"wp:attachment":[{"href":"https:\/\/bayerlstudio.com.br\/mundomaker\/wp-json\/wp\/v2\/media?parent=12508"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bayerlstudio.com.br\/mundomaker\/wp-json\/wp\/v2\/categories?post=12508"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bayerlstudio.com.br\/mundomaker\/wp-json\/wp\/v2\/tags?post=12508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}