{"id":30050,"date":"2024-02-14T22:43:02","date_gmt":"2024-02-14T19:43:02","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/tr\/?page_id=30050"},"modified":"2024-03-10T13:45:18","modified_gmt":"2024-03-10T10:45:18","slug":"problem-of-the-month-february-2024","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/tr\/problem-of-the-month-february-2024\/","title":{"rendered":"Problem of the Month \u2013 February 2024"},"content":{"rendered":"<p>The country has 6543 cities and between any two of these cities exactly one of 15 air companies<br \/>\nis running two-way flights. Find the minimal value of <em>n<\/em> such that for any arrangement<br \/>\nof all flights one can choose <em>n<\/em> air companies such that only by using of flights of these chosen<br \/>\n<em>n<\/em> companies starting from any city one can reach any other city.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Correct Solutions by,<\/strong><\/p>\n<ul>\n<li>Roger Bengtsson\u00a0Lund, Sweden<\/li>\n<li>Magnus Jakobsson Lund, Sweden<\/li>\n<li>Hamza Allaberdiyew<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><strong>Solution:\u00a0<a href=\"http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/2402a.pdf\">2402a.pdf (bilkent.edu.tr)<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The country has 6543 cities and between any two of these cities exactly one of 15 air companies is running two-way flights. Find the minimal value of n such that for any arrangement of all flights one can choose n air companies such that only by using of flights of [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/tr\/problem-of-the-month-february-2024\/\" 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-30050","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/30050","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/comments?post=30050"}],"version-history":[{"count":5,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/30050\/revisions"}],"predecessor-version":[{"id":30386,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/30050\/revisions\/30386"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/media?parent=30050"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}