{"id":20787,"date":"2023-12-18T22:56:42","date_gmt":"2023-12-18T19:56:42","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?page_id=20787"},"modified":"2024-01-22T22:36:38","modified_gmt":"2024-01-22T19:36:38","slug":"problem-of-the-month-december-2023","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-december-2023\/","title":{"rendered":"Problem of the Month \u2013 December 2023"},"content":{"rendered":"<p>There are several red and several white boxes on the table, each of these boxes contains at<br \/>\nleast one ball. A positive integer number not exceeding 1111 is written on each of these balls.<\/p>\n<ul>\n<li>Any two boxes contain different number of balls.<\/li>\n<li>No box contains two balls with the same number.<\/li>\n<li>For each 1 \u2264 i \u2264 1111 there is at most one red box containing ball with number i.<\/li>\n<li>For each 1 \u2264 i \u2264 1111 there is at most one white box containing ball with number i.<\/li>\n<\/ul>\n<p>Find the maximal possible number of boxes on the table.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Correct Solutions by,<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu Kawasaki, Japan<\/li>\n<li>Roger Bengtsson\u00a0Lund, Sweden<\/li>\n<li>Magnus Jakobsson Lund, Sweden<\/li>\n<li>Arda Karahan\u00a0Trabzon Fen Lisesi<\/li>\n<li>Vedat Deveci \u0130stanbul<\/li>\n<li>Abdulkadir Tanr\u0131verdi\u00a0Eski\u015fehir<\/li>\n<li>Yusuf B\u00fcy\u00fck\u00a0Hali\u00e7 University<\/li>\n<li>\u00d6zer Aydemir<\/li>\n<li>Partrik Wild\u00a0Lund, Sweden<\/li>\n<li>K. Sengupta\u00a0Calcutta, India<\/li>\n<li>Tuna Demircio\u011flu<\/li>\n<li>Ananda Raidu Bangalore, India<\/li>\n<li>M\u00fcmtaz Ula\u015f Keskin\u00a0Erciyes University<\/li>\n<\/ul>\n<p><strong>Solution:\u00a0<a href=\"http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/2312a.pdf\">http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/2312a.pdf<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>There are several red and several white boxes on the table, each of these boxes contains at least one ball. A positive integer number not exceeding 1111 is written on each of these balls. Any two boxes contain different number of balls. No box contains two balls with the same [\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-december-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-20787","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/20787","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=20787"}],"version-history":[{"count":4,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/20787\/revisions"}],"predecessor-version":[{"id":21023,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/20787\/revisions\/21023"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=20787"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}