{"id":110,"date":"2010-07-13T18:46:39","date_gmt":"2010-07-13T18:46:39","guid":{"rendered":"http:\/\/mathriddles.williams.edu\/?p=110"},"modified":"2025-01-27T09:41:32","modified_gmt":"2025-01-27T14:41:32","slug":"row-row-row-your-trees","status":"publish","type":"post","link":"https:\/\/sites.williams.edu\/mathriddles\/difficulty\/medium\/row-row-row-your-trees\/","title":{"rendered":"Row, Row, Row Your Trees"},"content":{"rendered":"<p>How can seven trees be planted so that there are six rows of trees in a straight line with each row having three trees? For example, if you plant them the following way you get only four rows of three (two horizontal, one vertical, one diagonal).<\/p>\n<p>*\t*\t*<\/p>\n<p>*\t*\t*<\/p>\n<p>\t\t*<\/p>\n<p>Communicated by Jennifer Vahle (Jennifer_Vahle@ben.edu).<\/p>\n<p>Extra: With 10 trees, make five rows of four trees each.<\/p>\n<p>Hint: remove one tree from the previous case.<\/p>\n<p>I think the next is 19 trees, nine rows with five in each row.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>How can seven trees be planted so that there are six rows of trees in a straight line with each row having three trees? For example, if you plant them the following way you get only four rows of three (two horizontal, one vertical, one diagonal). * * * * * * * Communicated by&hellip;<\/p>\n","protected":false},"author":2861,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[14,15,7],"tags":[],"class_list":["post-110","post","type-post","status-publish","format-standard","hentry","category-general","category-geometry","category-medium"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/posts\/110","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/users\/2861"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/comments?post=110"}],"version-history":[{"count":1,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/posts\/110\/revisions"}],"predecessor-version":[{"id":1168,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/posts\/110\/revisions\/1168"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/media?parent=110"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/categories?post=110"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.williams.edu\/mathriddles\/wp-json\/wp\/v2\/tags?post=110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}