{"id":2240,"date":"2018-04-26T00:12:58","date_gmt":"2018-04-25T15:12:58","guid":{"rendered":"http:\/\/mathcs.ksa.hs.kr\/?p=2240"},"modified":"2024-04-17T14:58:56","modified_gmt":"2024-04-17T05:58:56","slug":"2018-problem-of-the-week-4","status":"publish","type":"post","link":"https:\/\/mathcs.ksa.hs.kr\/?p=2240","title":{"rendered":"2018 Problem Of the Week 4"},"content":{"rendered":"<p>The numbers $1$, $latex \\frac{1}{2}$, $latex \\frac{1}{3}$,  $latex \\ldots$, $latex \\frac{1}{2018}$ are written on the blackboard. IU chooses any two numbers from blackboard, say $latex \\alpha$ and $latex \\beta$, erase them and instead writes the number $latex \\alpha\\beta + \\alpha + \\beta$. She continues to do this process until there is only one number left on the board. What are the possible values of the final number?<\/p>\n<p>Due day is May 4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The numbers $1$, $latex \\frac{1}{2}$, $latex \\frac{1}{3}$, $latex \\ldots$, $latex \\frac{1}{2018}$ are written on the blackboard. IU chooses any two numbers from blackboard, say $latex \\alpha$ and $latex \\beta$, erase them and instead writes the number $latex \\alpha\\beta + \\alpha&hellip; <\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[63],"tags":[],"_links":{"self":[{"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts\/2240"}],"collection":[{"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2240"}],"version-history":[{"count":3,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts\/2240\/revisions"}],"predecessor-version":[{"id":2243,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts\/2240\/revisions\/2243"}],"wp:attachment":[{"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2240"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2240"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2240"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}