{"id":16740,"date":"2025-03-31T04:45:13","date_gmt":"2025-03-31T01:45:13","guid":{"rendered":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/"},"modified":"2025-03-31T04:45:13","modified_gmt":"2025-03-31T01:45:13","slug":"torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri","status":"publish","type":"post","link":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/","title":{"rendered":"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri"},"content":{"rendered":"<p><body><\/p>\n<p>Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri<\/p>\n<p>Algoritma ve programlama d\u00fcnyas\u0131nda s\u0131kl\u0131kla kar\u015f\u0131la\u015ft\u0131\u011f\u0131m\u0131z problemlerden biri de \u201cTorbalara Bilye Yerle\u015ftirme\u201d problemidir.  Bu problemde, belirli say\u0131da bilyeyi, belirli bir kapasiteye sahip torbalara e\u015fit veya m\u00fcmk\u00fcn oldu\u011funca e\u015fit \u015fekilde da\u011f\u0131tmak hedeflenir.  \u00d6rne\u011fin, 10 bilyeyi 3 torbaya da\u011f\u0131t\u0131rken, torbalarda s\u0131ras\u0131yla 4, 3 ve 3 bilye olur.  Bu basit gibi g\u00f6r\u00fcnen problemin, \u00f6zellikle bilye ve torba say\u0131s\u0131 artt\u0131\u011f\u0131nda, \u00e7\u00f6z\u00fcm\u00fc olduk\u00e7a karma\u015f\u0131kla\u015fabilir.  Bu nedenle, verimli ve optimize edilmi\u015f algoritmalar kullanmak \u00f6nem kazan\u0131r.<\/p>\n<p><strong>Problem Tan\u0131m\u0131:<\/strong>  \u2018n\u2019 say\u0131da bilyeyi, \u2018k\u2019 say\u0131da torbaya da\u011f\u0131tmak istiyoruz. Her torban\u0131n maksimum kapasitesi \u2018c\u2019 olsun.  Amac\u0131m\u0131z, bilyeleri torbalara m\u00fcmk\u00fcn oldu\u011funca e\u015fit bir \u015fekilde da\u011f\u0131tmak ve her torban\u0131n kapasitesini a\u015fmamakt\u0131r.<\/p>\n<h2>\u00c7\u00f6z\u00fcm Y\u00f6ntemleri<\/h2>\n<p>Bu problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in birka\u00e7 farkl\u0131 yakla\u015f\u0131m kullan\u0131labilir.  Bunlardan baz\u0131lar\u0131:<\/p>\n<ol>\n<li><strong>Basit Da\u011f\u0131t\u0131m:<\/strong>  En basit yakla\u015f\u0131m, bilyeleri s\u0131rayla torbalara yerle\u015ftirmektir.  Bu y\u00f6ntem, bilyelerin e\u015fit da\u011f\u0131l\u0131m\u0131n\u0131 garanti etmez. \u00d6rne\u011fin, 10 bilyeyi 3 torbaya da\u011f\u0131t\u0131rken, ilk iki torbaya 3&#8217;er bilye, son torbaya ise 4 bilye yerle\u015ftirir.  Bu y\u00f6ntem, basit olmas\u0131na ra\u011fmen verimsizdir ve optimal \u00e7\u00f6z\u00fcm \u00fcretmez.<\/li>\n<li><strong>Artan Kapasite Y\u00f6ntemi:<\/strong>  Bu y\u00f6ntemde, her bilye i\u00e7in mevcut torbalar\u0131n doluluk oranlar\u0131na bak\u0131l\u0131r ve en az dolu olan torbaya bilye yerle\u015ftirilir.  Bu y\u00f6ntem, basit da\u011f\u0131t\u0131m y\u00f6ntemine g\u00f6re daha iyi bir da\u011f\u0131l\u0131m sa\u011flar ancak yine de optimal \u00e7\u00f6z\u00fcm garantisi vermez.<\/li>\n<li><strong>Dinamik Programlama:<\/strong> Daha b\u00fcy\u00fck \u00f6l\u00e7ekli problemler i\u00e7in dinamik programlama yakla\u015f\u0131m\u0131 kullan\u0131labilir.  Bu y\u00f6ntem, alt problemlerin \u00e7\u00f6z\u00fcmlerini saklayarak daha b\u00fcy\u00fck problemin \u00e7\u00f6z\u00fcm\u00fcn\u00fc daha h\u0131zl\u0131 bulmay\u0131 sa\u011flar.  Ancak bu y\u00f6ntemin karma\u015f\u0131kl\u0131\u011f\u0131 artmaktad\u0131r.<\/li>\n<\/ol>\n<h2>Kod \u00d6rne\u011fi (Python):<\/h2>\n<pre><code>\ndef bilye_dagitim(n, k):\n  torbalar = [0] * k\n  for i in range(n):\n    torbalar[i % k] += 1\n  return torbalar\n\nprint(bilye_dagitim(10, 3)) # \u00c7\u0131kt\u0131: [4, 3, 3]\n<\/code><\/pre>\n<p>Bu Python kod \u00f6rne\u011fi, basit da\u011f\u0131t\u0131m y\u00f6ntemini g\u00f6stermektedir.  Daha geli\u015fmi\u015f y\u00f6ntemler i\u00e7in daha karma\u015f\u0131k algoritmalar gerekir.  Bu algoritmalar\u0131n uygulanmas\u0131 ve performans kar\u015f\u0131la\u015ft\u0131rmalar\u0131 ayr\u0131 bir \u00e7al\u0131\u015fman\u0131n konusu olabilir.<\/p>\n<p>Daha detayl\u0131 bilgi ve farkl\u0131 programlama dillerindeki uygulamalar i\u00e7in  <a href=\"https:\/\/dev.to\/mdarifulhaque\/2551-put-marbles-in-bags-4mla\">buraya<\/a>  bakabilirsiniz.  Ayr\u0131ca, algoritma ve veri yap\u0131lar\u0131 \u00fczerine daha fazla bilgi edinmek i\u00e7in <a href=\"https:\/\/fatihsoysal.com\">web sitemi<\/a> ziyaret edebilirsiniz.<\/p>\n<p>Sonu\u00e7 olarak, &#8220;Torbalara Bilye Yerle\u015ftirme&#8221; problemi, basit gibi g\u00f6r\u00fcnse de, verimli bir \u00e7\u00f6z\u00fcm i\u00e7in uygun algoritma se\u00e7imi gerektirir.  Problem boyutu b\u00fcy\u00fcd\u00fck\u00e7e, daha geli\u015fmi\u015f tekniklere ihtiya\u00e7 duyulur.  Bu makalede ele ald\u0131\u011f\u0131m\u0131z y\u00f6ntemler, problemin farkl\u0131 \u00e7\u00f6z\u00fcm yakla\u015f\u0131mlar\u0131na dair bir bak\u0131\u015f a\u00e7\u0131s\u0131 sunmaktad\u0131r.<\/p>\n<p>#Etiketler: bilye, torbalar, algoritma, programlama, \u00e7\u00f6z\u00fcm, optimize, python, java, javascript, da\u011f\u0131t\u0131m, dinamik programlama, verimlilik<\/p>\n<p><\/body><br \/>\n<\/html><\/p>\n","protected":false},"excerpt":{"rendered":"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri Algoritma ve programlama d\u00fcnyas\u0131nda s\u0131kl\u0131kla kar\u015f\u0131la\u015ft\u0131\u011f\u0131m\u0131z problemlerden biri de \u201cTorbalara Bilye&hellip;","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"csco_page_header_type":"","csco_page_load_nextpost":"","csco_page_subscribe_form":"","csco_page_contact_form":"","footnotes":""},"categories":[1],"tags":[],"class_list":{"0":"post-16740","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-genel","7":"cs-entry","8":"cs-video-wrap"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v20.5 (Yoast SEO v25.3.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri<\/title>\n<meta name=\"description\" content=\"Algoritma ve programlama d\u00fcnyas\u0131nda s\u0131kl\u0131kla kar\u015f\u0131la\u015ft\u0131\u011f\u0131m\u0131z problemlerden biri de \u201cTorbalara Bilye Yerle\u015ftirme\u201d problemidir. Bu problemde, belirli say\u0131da bilyeyi, belirli bir kapasiteye sahip torbalara e\u015fit veya m\u00fcmk\u00fcn oldu\u011funca e\u015fit \u015fekilde da\u011f\u0131tmak hedeflenir. \u00d6rne\u011fin, 10 bilyeyi 3 torbaya da\u011f\u0131t\u0131rken, torbalarda s\u0131ras\u0131yla 4, 3 ve 3 bilye olur. Bu basit gibi g\u00f6r\u00fcnen problemin, \u00f6zellikle bilye ve torba say\u0131s\u0131 artt\u0131\u011f\u0131nda, \u00e7\u00f6z\u00fcm\u00fc olduk\u00e7a karma\u015f\u0131kla\u015fabilir. Bu nedenle, verimli ve optimize edilmi\u015f algoritmalar kullanmak \u00f6nem kazan\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri\" \/>\n<meta property=\"og:description\" content=\"Algoritma ve programlama d\u00fcnyas\u0131nda s\u0131kl\u0131kla kar\u015f\u0131la\u015ft\u0131\u011f\u0131m\u0131z problemlerden biri de \u201cTorbalara Bilye Yerle\u015ftirme\u201d problemidir. Bu problemde, belirli say\u0131da bilyeyi, belirli bir kapasiteye sahip torbalara e\u015fit veya m\u00fcmk\u00fcn oldu\u011funca e\u015fit \u015fekilde da\u011f\u0131tmak hedeflenir. \u00d6rne\u011fin, 10 bilyeyi 3 torbaya da\u011f\u0131t\u0131rken, torbalarda s\u0131ras\u0131yla 4, 3 ve 3 bilye olur. Bu basit gibi g\u00f6r\u00fcnen problemin, \u00f6zellikle bilye ve torba say\u0131s\u0131 artt\u0131\u011f\u0131nda, \u00e7\u00f6z\u00fcm\u00fc olduk\u00e7a karma\u015f\u0131kla\u015fabilir. Bu nedenle, verimli ve optimize edilmi\u015f algoritmalar kullanmak \u00f6nem kazan\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/\" \/>\n<meta property=\"og:site_name\" content=\"Kodlar\u0131n Gizemli D\u00fcnyas\u0131\" \/>\n<meta property=\"article:published_time\" content=\"2025-03-31T01:45:13+00:00\" \/>\n<meta name=\"author\" content=\"Fatih Soysal\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Fatih Soysal\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/\"},\"author\":{\"name\":\"Fatih Soysal\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1\"},\"headline\":\"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri\",\"datePublished\":\"2025-03-31T01:45:13+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/\"},\"wordCount\":491,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/#respond\"]}],\"copyrightYear\":\"2025\",\"copyrightHolder\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#organization\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/\",\"url\":\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/\",\"name\":\"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri\",\"isPartOf\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#website\"},\"datePublished\":\"2025-03-31T01:45:13+00:00\",\"description\":\"Algoritma ve programlama d\u00fcnyas\u0131nda s\u0131kl\u0131kla kar\u015f\u0131la\u015ft\u0131\u011f\u0131m\u0131z problemlerden biri de \u201cTorbalara Bilye Yerle\u015ftirme\u201d problemidir. Bu problemde, belirli say\u0131da bilyeyi, belirli bir kapasiteye sahip torbalara e\u015fit veya m\u00fcmk\u00fcn oldu\u011funca e\u015fit \u015fekilde da\u011f\u0131tmak hedeflenir. \u00d6rne\u011fin, 10 bilyeyi 3 torbaya da\u011f\u0131t\u0131rken, torbalarda s\u0131ras\u0131yla 4, 3 ve 3 bilye olur. Bu basit gibi g\u00f6r\u00fcnen problemin, \u00f6zellikle bilye ve torba say\u0131s\u0131 artt\u0131\u011f\u0131nda, \u00e7\u00f6z\u00fcm\u00fc olduk\u00e7a karma\u015f\u0131kla\u015fabilir. Bu nedenle, verimli ve optimize edilmi\u015f algoritmalar kullanmak \u00f6nem kazan\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Anasayfa\",\"item\":\"https:\/\/fatihsoysal.com\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#website\",\"url\":\"https:\/\/fatihsoysal.com\/blog\/\",\"name\":\"Fatihsoysal.com\",\"description\":\"Blog - Yaz\u0131l\u0131m D\u00fcnyas\u0131 Tecr\u00fcbelerim\",\"publisher\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/fatihsoysal.com\/blog\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"tr\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1\",\"name\":\"Fatih Soysal\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/fatihsoysal.com\/blog\/wp-content\/uploads\/2024\/04\/cropped-replicate-prediction-3kgg1hgjn5rgp0cf0p5tr0jw7w-1.png\",\"contentUrl\":\"https:\/\/fatihsoysal.com\/blog\/wp-content\/uploads\/2024\/04\/cropped-replicate-prediction-3kgg1hgjn5rgp0cf0p5tr0jw7w-1.png\",\"width\":512,\"height\":512,\"caption\":\"Fatih Soysal\"},\"logo\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/image\/\"},\"description\":\"Kullan\u0131m ve kodlama m\u00fckemmeliyetini odak alan uygulamalar olu\u015fturma deneyimine sahip, profesyonel olarak 15+ y\u0131l \u00fczeri deneyime sahip bir yaz\u0131l\u0131m m\u00fchendisi.\",\"url\":\"https:\/\/fatihsoysal.com\/blog\/author\/fatihsoysal\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri","description":"Algoritma ve programlama d\u00fcnyas\u0131nda s\u0131kl\u0131kla kar\u015f\u0131la\u015ft\u0131\u011f\u0131m\u0131z problemlerden biri de \u201cTorbalara Bilye Yerle\u015ftirme\u201d problemidir. Bu problemde, belirli say\u0131da bilyeyi, belirli bir kapasiteye sahip torbalara e\u015fit veya m\u00fcmk\u00fcn oldu\u011funca e\u015fit \u015fekilde da\u011f\u0131tmak hedeflenir. \u00d6rne\u011fin, 10 bilyeyi 3 torbaya da\u011f\u0131t\u0131rken, torbalarda s\u0131ras\u0131yla 4, 3 ve 3 bilye olur. Bu basit gibi g\u00f6r\u00fcnen problemin, \u00f6zellikle bilye ve torba say\u0131s\u0131 artt\u0131\u011f\u0131nda, \u00e7\u00f6z\u00fcm\u00fc olduk\u00e7a karma\u015f\u0131kla\u015fabilir. Bu nedenle, verimli ve optimize edilmi\u015f algoritmalar kullanmak \u00f6nem kazan\u0131r.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/","og_locale":"tr_TR","og_type":"article","og_title":"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri","og_description":"Algoritma ve programlama d\u00fcnyas\u0131nda s\u0131kl\u0131kla kar\u015f\u0131la\u015ft\u0131\u011f\u0131m\u0131z problemlerden biri de \u201cTorbalara Bilye Yerle\u015ftirme\u201d problemidir. Bu problemde, belirli say\u0131da bilyeyi, belirli bir kapasiteye sahip torbalara e\u015fit veya m\u00fcmk\u00fcn oldu\u011funca e\u015fit \u015fekilde da\u011f\u0131tmak hedeflenir. \u00d6rne\u011fin, 10 bilyeyi 3 torbaya da\u011f\u0131t\u0131rken, torbalarda s\u0131ras\u0131yla 4, 3 ve 3 bilye olur. Bu basit gibi g\u00f6r\u00fcnen problemin, \u00f6zellikle bilye ve torba say\u0131s\u0131 artt\u0131\u011f\u0131nda, \u00e7\u00f6z\u00fcm\u00fc olduk\u00e7a karma\u015f\u0131kla\u015fabilir. Bu nedenle, verimli ve optimize edilmi\u015f algoritmalar kullanmak \u00f6nem kazan\u0131r.","og_url":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/","og_site_name":"Kodlar\u0131n Gizemli D\u00fcnyas\u0131","article_published_time":"2025-03-31T01:45:13+00:00","author":"Fatih Soysal","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Fatih Soysal","Tahmini okuma s\u00fcresi":"3 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/#article","isPartOf":{"@id":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/"},"author":{"name":"Fatih Soysal","@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1"},"headline":"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri","datePublished":"2025-03-31T01:45:13+00:00","mainEntityOfPage":{"@id":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/"},"wordCount":491,"commentCount":0,"publisher":{"@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1"},"inLanguage":"tr","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/#respond"]}],"copyrightYear":"2025","copyrightHolder":{"@id":"https:\/\/fatihsoysal.com\/blog\/#organization"}},{"@type":"WebPage","@id":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/","url":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/","name":"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri","isPartOf":{"@id":"https:\/\/fatihsoysal.com\/blog\/#website"},"datePublished":"2025-03-31T01:45:13+00:00","description":"Algoritma ve programlama d\u00fcnyas\u0131nda s\u0131kl\u0131kla kar\u015f\u0131la\u015ft\u0131\u011f\u0131m\u0131z problemlerden biri de \u201cTorbalara Bilye Yerle\u015ftirme\u201d problemidir. Bu problemde, belirli say\u0131da bilyeyi, belirli bir kapasiteye sahip torbalara e\u015fit veya m\u00fcmk\u00fcn oldu\u011funca e\u015fit \u015fekilde da\u011f\u0131tmak hedeflenir. \u00d6rne\u011fin, 10 bilyeyi 3 torbaya da\u011f\u0131t\u0131rken, torbalarda s\u0131ras\u0131yla 4, 3 ve 3 bilye olur. Bu basit gibi g\u00f6r\u00fcnen problemin, \u00f6zellikle bilye ve torba say\u0131s\u0131 artt\u0131\u011f\u0131nda, \u00e7\u00f6z\u00fcm\u00fc olduk\u00e7a karma\u015f\u0131kla\u015fabilir. Bu nedenle, verimli ve optimize edilmi\u015f algoritmalar kullanmak \u00f6nem kazan\u0131r.","breadcrumb":{"@id":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/fatihsoysal.com\/blog\/torbalara-bilye-yerlestirme-problemi-ve-cozum-yontemleri\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Anasayfa","item":"https:\/\/fatihsoysal.com\/blog\/"},{"@type":"ListItem","position":2,"name":"Torbalara Bilye Yerle\u015ftirme Problemi ve \u00c7\u00f6z\u00fcm Y\u00f6ntemleri"}]},{"@type":"WebSite","@id":"https:\/\/fatihsoysal.com\/blog\/#website","url":"https:\/\/fatihsoysal.com\/blog\/","name":"Fatihsoysal.com","description":"Blog - Yaz\u0131l\u0131m D\u00fcnyas\u0131 Tecr\u00fcbelerim","publisher":{"@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/fatihsoysal.com\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"tr"},{"@type":["Person","Organization"],"@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1","name":"Fatih Soysal","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/image\/","url":"https:\/\/fatihsoysal.com\/blog\/wp-content\/uploads\/2024\/04\/cropped-replicate-prediction-3kgg1hgjn5rgp0cf0p5tr0jw7w-1.png","contentUrl":"https:\/\/fatihsoysal.com\/blog\/wp-content\/uploads\/2024\/04\/cropped-replicate-prediction-3kgg1hgjn5rgp0cf0p5tr0jw7w-1.png","width":512,"height":512,"caption":"Fatih Soysal"},"logo":{"@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/image\/"},"description":"Kullan\u0131m ve kodlama m\u00fckemmeliyetini odak alan uygulamalar olu\u015fturma deneyimine sahip, profesyonel olarak 15+ y\u0131l \u00fczeri deneyime sahip bir yaz\u0131l\u0131m m\u00fchendisi.","url":"https:\/\/fatihsoysal.com\/blog\/author\/fatihsoysal\/"}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/posts\/16740","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/comments?post=16740"}],"version-history":[{"count":0,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/posts\/16740\/revisions"}],"wp:attachment":[{"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/media?parent=16740"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/categories?post=16740"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/tags?post=16740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}