{"id":23844,"date":"2025-02-11T11:26:57","date_gmt":"2025-02-11T08:26:57","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?page_id=23844"},"modified":"2025-03-10T21:11:31","modified_gmt":"2025-03-10T18:11:31","slug":"problem-of-the-month-february-2025","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-february-2025\/","title":{"rendered":"Problem of the Month \u2013 February 2025"},"content":{"rendered":"<p>At the beginning there are 111 distinguishable balls on the red table and the white table<br \/>\nis empty. Starting with a red table we alternatively apply moves to the tables. In a move<br \/>\napplied to a given table we choose some collection of balls from this table and transfer them<br \/>\nto the other table. Find the maximal possible number of moves if each ball collection can<br \/>\nbe chosen at most once.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Correct Solutions by,<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu Kawasaki,\u00a0Japan<\/li>\n<li>Ramazan Kara\u015fahin\u00a0Ankara<\/li>\n<li>Mustafa Kaynak Gaziantep<\/li>\n<li>Magnus Jakobsson Lund, Sweden<\/li>\n<li>Mahri Asgarova\u00a0Ashgabat Turkmenistan<\/li>\n<li>Roger Bengtsson\u00a0Lund, Sweden<\/li>\n<li>Arda Karahan\u00a0Trabzon Fen Lisesi<\/li>\n<li>Hamza Allaberdiyev\u00a0135th Specialized High School, Askgabat<\/li>\n<li>Alper \u00c7ay\u00a0Ankara University, MTA<\/li>\n<\/ul>\n<p><strong>Solution: <a href=\"https:\/\/math.bilkent.edu.tr\/Soru\/2502c.pdf\">2502c.pdf (bilkent.edu.tr)<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>At the beginning there are 111 distinguishable balls on the red table and the white table is empty. Starting with a red table we alternatively apply moves to the tables. In a move applied to a given table we choose some collection of balls from this table and transfer them [\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-february-2025\/\" 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-23844","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/23844","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=23844"}],"version-history":[{"count":3,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/23844\/revisions"}],"predecessor-version":[{"id":24104,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/23844\/revisions\/24104"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=23844"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}