{"id":556,"date":"2019-01-25T18:46:59","date_gmt":"2019-01-25T23:46:59","guid":{"rendered":"http:\/\/josmfs.net\/?p=556"},"modified":"2024-04-15T12:14:45","modified_gmt":"2024-04-15T16:14:45","slug":"three-jugs-problem-redux","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/01\/25\/three-jugs-problem-redux\/","title":{"rendered":"Three Jugs Problem Redux"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-554\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Three-Jugs-Problem-Redux-Fig.jpg\" alt=\"\" width=\"200\" height=\"108\" \/>I was sifting back through some problems posed by Presh Talwalkar on his website <a href=\"https:\/\/mindyourdecisions.com\/blog\/\">Mind Your Decisions<\/a>, when I found another 3 Jugs problem, which was amenable to the skew billiard table solution from my earlier <a href=\"https:\/\/josmfs.net\/wordpress\/2018\/12\/29\/three-jugs-problem\/\">Three Jugs Problem<\/a>. Here is his statement:<\/p>\n<p>\u201cA milkman carries a full 12-liter container. He needs to deliver exactly 6 liters to a customer who only has 8-liter and a 5-liter containers. How can he do this? No milk should be wasted: the milkman needs to leave with 6 liters of milk. Can he measure all amounts of milk from 1 to 12 (whole numbers) in some container?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Three-Jugs-Problem-Redux-Answer.jpg\">Answer<\/a>.<\/p>\n<p>I also believe I found a case where Talwalkar\u2019s solution to the last question needs revision. See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Three-Jugs-Problem-Redux-190126.pdf\">Three Jugs Problem Redux<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I was sifting back through some problems posed by Presh Talwalkar on his website Mind Your Decisions, when I found another 3 Jugs problem, which was amenable to the skew billiard table solution from my earlier Three Jugs Problem. Here is his statement: \u201cA milkman carries a full 12-liter container. He needs to deliver exactly [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[242,17,75],"class_list":["post-556","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-mixture-problems","tag-presh-talwalkar","tag-skew-billiard-table"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/556","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=556"}],"version-history":[{"count":5,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/556\/revisions"}],"predecessor-version":[{"id":3925,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/556\/revisions\/3925"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=556"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=556"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=556"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}