{"id":15156,"date":"2021-03-08T10:23:49","date_gmt":"2021-03-08T07:23:49","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?page_id=15156"},"modified":"2021-04-08T14:15:23","modified_gmt":"2021-04-08T11:15:23","slug":"problem-of-the-month-march-2021","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-march-2021\/","title":{"rendered":"Problem of the Month \u2013 March 2021"},"content":{"rendered":"<p>In a country consisting of 100 cities there are direct round flights between some pairs of cities.<br \/>\nThe total number of flights is 2021 and each flight is operated by one of <em>n<\/em> air companies.<br \/>\nThere are at least two cities such that one is not reachable from the other one by less than<br \/>\nthree flights. Given that for any two cities there is an air company connecting these cities<br \/>\n(by direct or not direct flights) find the maximal possible value of <em>n.<\/em><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Correct Solutions by,<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu Kawasaki, Japan<\/li>\n<li>Mehmet Burak G\u00f6n\u00fcl\u00a0 Ca\u011falo\u011flu Anadolu Lisesi, \u0130stanbul<\/li>\n<li>Roger Bengtsson Lund, Sweden<\/li>\n<li>M\u00fcmtaz Ula\u015f Keskin Antalya<\/li>\n<li>Bar\u0131\u015f Koyuncu \u00d6zel Enka Lisesi, \u0130stanbul<\/li>\n<li>Muhammed \u0130kbal Ulvi Bo\u011fazi\u00e7i University<\/li>\n<li>Magnus Jakobsson Lund, Sweden<\/li>\n<li>Jepbar Asgarov Hitrowka, Turkmenistan<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><strong>Solution:\u00a0<a href=\"http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/2103a.pdf\">http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/2103a.pdf<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a country consisting of 100 cities there are direct round flights between some pairs of cities. The total number of flights is 2021 and each flight is operated by one of n air companies. There are at least two cities such that one is not reachable from the other [\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-march-2021\/\" 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-15156","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/15156","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=15156"}],"version-history":[{"count":3,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/15156\/revisions"}],"predecessor-version":[{"id":15396,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/15156\/revisions\/15396"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=15156"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}