{"id":4326,"date":"2025-03-15T12:06:07","date_gmt":"2025-03-15T16:06:07","guid":{"rendered":"https:\/\/josmfs.net\/?p=4326"},"modified":"2025-03-16T12:51:19","modified_gmt":"2025-03-16T16:51:19","slug":"impossible-homework","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/03\/15\/impossible-homework\/","title":{"rendered":"Impossible Homework"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4324\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/03\/Impossible-Homework-Fig2.jpg\" alt=\"\" width=\"200\" height=\"113\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/03\/Impossible-Homework-Fig2.jpg 508w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/03\/Impossible-Homework-Fig2-300x169.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a somewhat unusual <a href=\"https:\/\/mindyourdecisions.com\/blog\/2025\/02\/07\/scary-homework-is-impossible\/\">problem<\/a> from Presh Talwalkar.\u00a0 It involves proving a student\u2019s homework problem is impossible.<\/p>\n<p>\u201cI came across a homework problem described as \u201cscary\u201d on Reddit AskMath. You need to fill in the number sentences using the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 exactly once.<\/p>\n<p>You should try a few possibilities to see why this is a challenging question. And do not waste too much time because the exercise is literally impossible!\u00a0 The challenge is, can you prove no solution exists?\u201d<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/03\/Impossible-Homework-250209.pdf\">Impossible Homework<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a somewhat unusual problem from Presh Talwalkar.\u00a0 It involves proving a student\u2019s homework problem is impossible. \u201cI came across a homework problem described as \u201cscary\u201d on Reddit AskMath. You need to fill in the number sentences using the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 exactly once. You should [&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":[133,17],"class_list":["post-4326","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-presh-talwalkar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4326","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=4326"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4326\/revisions"}],"predecessor-version":[{"id":4329,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4326\/revisions\/4329"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4326"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4326"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4326"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}