{"id":1953,"date":"2017-03-16T01:15:41","date_gmt":"2017-03-15T16:15:41","guid":{"rendered":"http:\/\/mathcs.ksa.hs.kr\/?p=1953"},"modified":"2017-03-16T01:15:41","modified_gmt":"2017-03-15T16:15:41","slug":"2017-03-pow","status":"publish","type":"post","link":"https:\/\/mathcs.ksa.hs.kr\/?p=1953","title":{"rendered":"2017-03 POW"},"content":{"rendered":"<p>The positive integers $latex a_1$, $latex a_2$, $latex \\ldots$, $latex a_9$ are arranged in a circle such that the product of any two non-adjacent numbers in the circle is a multiple of $latex n$ and the product of any two adjacent numbers in the circle is not a multiple of $latex n$, where $latex n$ is a fixed positive integer. Find the smallest possible value for $latex n$.<\/p>\n<p>Due day is March 22.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The positive integers $latex a_1$, $latex a_2$, $latex \\ldots$, $latex a_9$ are arranged in a circle such that the product of any two non-adjacent numbers in the circle is a multiple of $latex n$ and the product of any two&hellip; <\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"_links":{"self":[{"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts\/1953"}],"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=1953"}],"version-history":[{"count":1,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts\/1953\/revisions"}],"predecessor-version":[{"id":1954,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=\/wp\/v2\/posts\/1953\/revisions\/1954"}],"wp:attachment":[{"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1953"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1953"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathcs.ksa.hs.kr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1953"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}