{"id":19383,"date":"2023-05-11T08:50:11","date_gmt":"2023-05-11T05:50:11","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?page_id=19383"},"modified":"2023-06-13T18:14:39","modified_gmt":"2023-06-13T15:14:39","slug":"problem-of-the-month-may-2023","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-may-2023\/","title":{"rendered":"Problem of the Month \u2013 May 2023"},"content":{"rendered":"<p>In a school having <em>n<\/em> students any student has exactly 971 friends and if two students are<br \/>\nnot friends then they have exactly 970 common friends. Find all possible values of <em>n<\/em>.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Correct Solutions by,<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu Kawasaki, Japan<\/li>\n<li>Mustafa Kerem Y\u00fcksel Bilkent University<\/li>\n<li>Mustafa Burak Topal \u0130stanbul<\/li>\n<li>Magnus Jakobsson Lund, Sweden<\/li>\n<li>Roger Bengtsson Lund, v<\/li>\n<li>Bar\u0131\u015f Koyuncu\u00a0\u0130stanbul \u00d6zel Enka Lisesi<\/li>\n<li>Mehmet Can Ba\u015ftemir\u00a0Kocaeli \u00d6zel Fen ve Teknoloji Lisesi<\/li>\n<li>Hakan G\u00f6kdo\u011fan\u00a0Haydarpa\u015fa Lisesi, \u00dcsk\u00fcdar<\/li>\n<li>Ahmet Kerim R\u00fczgar\u00a0\u0130stanbul \u015eehit M\u00fcnir Alkan Fen Lisesi<\/li>\n<li>Sena Ba\u015faran\u00a0\u0130stanbul Erkek Lisesi<\/li>\n<li>Serdar Bozda\u011f\u00a0Kocaeli \u00d6zel Fen ve Teknoloji Lisesi<\/li>\n<li>Hakan G\u00f6kdo\u011fan\u00a0Haydarpa\u015fa Lisesi, \u00dcsk\u00fcdar<\/li>\n<li>Mehmet Burak G\u00f6n\u00fcl\u00a0\u00c7a\u011falo\u011flu Anadolu Lisesi<\/li>\n<li>Muhammed K\u0131z\u0131lkaya\u00a0Kabata\u015f Erkek Lisesi<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><strong>Solution:\u00a0<a href=\"http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/2305a.pdf\">http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/2305a.pdf<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a school having n students any student has exactly 971 friends and if two students are not friends then they have exactly 970 common friends. Find all possible values of n. &nbsp; &nbsp; Correct Solutions by, Toshihiro Shimizu Kawasaki, Japan Mustafa Kerem Y\u00fcksel Bilkent University Mustafa Burak Topal \u0130stanbul [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-may-2023\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-19383","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/19383","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=19383"}],"version-history":[{"count":3,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/19383\/revisions"}],"predecessor-version":[{"id":19687,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/19383\/revisions\/19687"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=19383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}