{"id":36006,"date":"2025-11-12T20:00:18","date_gmt":"2025-11-12T17:00:18","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/tr\/?page_id=36006"},"modified":"2025-12-14T23:03:02","modified_gmt":"2025-12-14T20:03:02","slug":"ayin-sorusu-kasim-2025","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/tr\/ayin-sorusu-kasim-2025\/","title":{"rendered":"Ay\u0131n Sorusu \u2013 Kas\u0131m 2025"},"content":{"rendered":"<p>Bir \u00e7ember \u00fczerinde bulunan birbirinden farkl\u0131 <em>P<sub>1<\/sub>, P<sub>2<\/sub>, . . . , P<sub>1024<\/sub><\/em> noktalar\u0131n\u0131n \u00fczerine s\u0131ras\u0131yla birbirinden farkl\u0131 <em>a<sub>1<\/sub>, a<sub>2<\/sub>, . . . , a<sub>1024<\/sub><\/em> ger\u00e7el say\u0131lar\u0131 yaz\u0131lm\u0131\u015ft\u0131r. Q noktas\u0131 bu \u00e7ember \u00fczerinde <em>P<sub>1<\/sub>, P<sub>2<\/sub>, . . . , P<sub>1024<\/sub><\/em> noktalar\u0131ndan farkl\u0131 bir nokta olmak \u00fczere, \u00e7ember \u00fczerindeki <em>P<sub>i<\/sub>Q<\/em> yaylar\u0131ndan en az biri i\u00e7in bu yay\u0131n \u00fczerindeki en b\u00fcy\u00fck say\u0131 <em>a<\/em><sub><em>i<\/em>\u00a0<\/sub>ise, <em>P<sub>i<\/sub><\/em> noktas\u0131 <em>Q-iyi<\/em> nokta olsun. \u00c7ember \u00fczerindeki <em>Q-iyi<\/em> noktalar\u0131n say\u0131s\u0131 <em>Q<\/em> noktas\u0131n\u0131n puan\u0131 olsun. <em>a<sub>1<\/sub>, a<sub>2<\/sub>, . . . , a<\/em><sub><em>1024<\/em>\u00a0\u00a0<\/sub>say\u0131lar\u0131 nas\u0131l yaz\u0131l\u0131rsa yaz\u0131ls\u0131n puan\u0131 en az <em>k<\/em> olan bir <em>Q<\/em> noktas\u0131 bulunuyorsa <em>k<\/em> say\u0131s\u0131n\u0131n alabilece\u011fi en b\u00fcy\u00fck de\u011feri bulunuz.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Soruyu \u00c7\u00f6zenler:<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu Kawasaki, Japonya<\/li>\n<li>Mehmet Sarak Bilkent University<\/li>\n<li>Yunus Orazow 40th Specialized School, Ashkabat, Turkmenistan<\/li>\n<li>Emir Kara\u00a0Gazi Anadolu Lisesi, Ankara<\/li>\n<li>Mustafa Kaynak\u00a0Gaziantep<\/li>\n<li>Erenalp Yuca\u00a0Bilkent University<\/li>\n<li>Abdulkadir Tanr\u0131verdi Eski\u015fehir<\/li>\n<li>Magnus Jakobsson\u00a0Lund, Sweden<\/li>\n<li>Roger Bengtsson\u00a0Lund, Sweden<\/li>\n<li>Alper Balc\u0131\u00a0Ohio State University, ABD<\/li>\n<li>\u00d6zg\u00fcr Soysal\u00a0Bilkent University<\/li>\n<li>Ananda Raidu\u00a0Rajahmundry, Hindistan<\/li>\n<\/ul>\n<p><strong>\u00c7\u00f6z\u00fcm\u00fc:\u00a0<a href=\"https:\/\/math.bilkent.edu.tr\/Soru\/2511c.pdf\">https:\/\/math.bilkent.edu.tr\/Soru\/2511c.pdf<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir \u00e7ember \u00fczerinde bulunan birbirinden farkl\u0131 P1, P2, . . . , P1024 noktalar\u0131n\u0131n \u00fczerine s\u0131ras\u0131yla birbirinden farkl\u0131 a1, a2, . . . , a1024 ger\u00e7el say\u0131lar\u0131 yaz\u0131lm\u0131\u015ft\u0131r. Q noktas\u0131 bu \u00e7ember \u00fczerinde P1, P2, . . . , P1024 noktalar\u0131ndan farkl\u0131 bir nokta olmak \u00fczere, \u00e7ember \u00fczerindeki PiQ yaylar\u0131ndan [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/tr\/ayin-sorusu-kasim-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-36006","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/36006","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=36006"}],"version-history":[{"count":6,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/36006\/revisions"}],"predecessor-version":[{"id":36428,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/36006\/revisions\/36428"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/media?parent=36006"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}