{"id":18996,"date":"2025-04-23T17:32:25","date_gmt":"2025-04-23T14:32:25","guid":{"rendered":"https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/"},"modified":"2025-04-23T17:32:25","modified_gmt":"2025-04-23T14:32:25","slug":"en-buyuk-grubu-sayma-1399","status":"publish","type":"post","link":"https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/","title":{"rendered":"En B\u00fcy\u00fck Grubu Sayma (1399)"},"content":{"rendered":"<p>En B\u00fcy\u00fck Grubu Sayma (1399)<\/p>\n<p>Merhaba, ben Fatih Soysal ve bug\u00fcn LeetCode&#8217;daki 1399. problem olan &#8220;En B\u00fcy\u00fck Grubu Sayma&#8221; problemini detayl\u0131 olarak inceleyece\u011fiz.  Bu problem, say\u0131lar\u0131n digit toplamlar\u0131na g\u00f6re grupland\u0131r\u0131lmas\u0131n\u0131 ve en b\u00fcy\u00fck grubun boyutunu bulmay\u0131 gerektiriyor.  \u00d6ncelikle problemi daha iyi anlamak i\u00e7in \u00f6rneklerle ba\u015flayal\u0131m.  Daha sonra, farkl\u0131 \u00e7\u00f6z\u00fcm yakla\u015f\u0131mlar\u0131n\u0131 ele alaca\u011f\u0131z ve en verimli y\u00f6ntemi belirleyece\u011fiz.  Son olarak da, kod \u00f6rne\u011fini ve performans analizini payla\u015faca\u011f\u0131m.<\/p>\n<h2>Problem Tan\u0131m\u0131<\/h2>\n<p>Problem, bize 1 ile n aras\u0131nda (n dahil) olan say\u0131lar\u0131 vermektedir.  Her say\u0131n\u0131n basamaklar\u0131n\u0131n toplam\u0131n\u0131 hesaplay\u0131p, bu toplama g\u00f6re say\u0131lar\u0131 grupl\u0131yoruz.  \u00d6rne\u011fin, 19 say\u0131s\u0131n\u0131n basamaklar\u0131 toplam\u0131 1+9=10&#8217;dur.  Amac\u0131m\u0131z, en b\u00fcy\u00fck grubu olu\u015fturan say\u0131lar\u0131n say\u0131s\u0131n\u0131 bulmakt\u0131r.  Basit bir \u00f6rnek olarak, n=10 ise; 1, 2, 3&#8230;9 say\u0131lar\u0131n\u0131n basamak toplamlar\u0131 kendilerine e\u015fittir ve 10 say\u0131s\u0131n\u0131n basamak toplam\u0131 1&#8217;dir.  Burada en b\u00fcy\u00fck grup 1&#8217;den 9&#8217;a kadar olan say\u0131lar\u0131 i\u00e7erir, dolay\u0131s\u0131yla cevab\u0131m\u0131z 9 olur.<\/p>\n<h2>\u00c7\u00f6z\u00fcm Yakla\u015f\u0131mlar\u0131<\/h2>\n<p>Bu problemi \u00e7\u00f6zmek i\u00e7in birka\u00e7 yakla\u015f\u0131m kullanabiliriz.  En basit yakla\u015f\u0131m,  1&#8217;den n&#8217;ye kadar t\u00fcm say\u0131lar\u0131 tek tek i\u015fleyerek basamak toplamlar\u0131n\u0131 hesaplamak ve grupland\u0131rmak olabilir.  Ancak, bu yakla\u015f\u0131m b\u00fcy\u00fck n de\u011ferleri i\u00e7in olduk\u00e7a yava\u015f olacakt\u0131r.  Bu y\u00fczden daha optimize bir y\u00f6nteme ihtiyac\u0131m\u0131z var.  Daha verimli bir \u00e7\u00f6z\u00fcm i\u00e7in, bir hash table (\u00f6rne\u011fin, Python&#8217;da dictionary) kullanarak say\u0131lar\u0131n basamak toplamlar\u0131n\u0131 anahtar, ve o basamak toplam\u0131na sahip say\u0131lar\u0131n say\u0131s\u0131n\u0131 de\u011fer olarak tutabiliriz. Bu sayede, her say\u0131y\u0131 sadece bir kez i\u015fleriz.<\/p>\n<h2>Kod \u00d6rne\u011fi (Python)<\/h2>\n<pre><code>\ndef countLargestGroup(n):\n    counts = {}\n    max_count = 0\n    for i in range(1, n + 1):\n        digit_sum = sum(map(int, str(i)))\n        counts[digit_sum] = counts.get(digit_sum, 0) + 1\n        max_count = max(max_count, counts[digit_sum])\n    return sum(1 for count in counts.values() if count == max_count)\n\n<\/code><\/pre>\n<p>Bu kod, \u00f6ncelikle bir bo\u015f s\u00f6zl\u00fck olu\u015fturur.  Sonras\u0131nda, 1&#8217;den n&#8217;ye kadar her say\u0131 i\u00e7in basamaklar\u0131 toplam\u0131n\u0131 hesaplar.  Hesaplanan toplam, s\u00f6zl\u00fckte anahtar olarak kullan\u0131l\u0131r ve o anahtara kar\u015f\u0131l\u0131k gelen de\u011fer (say\u0131 adedi) 1 artt\u0131r\u0131l\u0131r.  Son olarak, en b\u00fcy\u00fck say\u0131 adedini bulur ve bu adede sahip grup say\u0131s\u0131n\u0131 d\u00f6nd\u00fcr\u00fcr.<\/p>\n<h2>Performans Analizi<\/h2>\n<p>Yukar\u0131daki Python kodunun karma\u015f\u0131kl\u0131\u011f\u0131 O(n * log(n))&#8217;dir.  \u00c7\u00fcnk\u00fc her say\u0131 i\u00e7in basamaklar\u0131 toplam\u0131n\u0131 hesaplamak O(log(n)) zaman al\u0131r.  Ancak, b\u00fcy\u00fck n de\u011ferlerinde bile bu kod olduk\u00e7a h\u0131zl\u0131 \u00e7al\u0131\u015f\u0131r.  Daha da optimize edilmesi i\u00e7in, basamak toplamlar\u0131n\u0131n \u00f6nceden hesaplanmas\u0131 ve saklanmas\u0131 gibi teknikler kullan\u0131labilir.  Bu yakla\u015f\u0131m, kodun yeniden kullan\u0131labilirli\u011fini art\u0131rarak performans\u0131 iyile\u015ftirebilir.<\/p>\n<h2>Sonu\u00e7<\/h2>\n<p>Bu makalede, LeetCode&#8217;daki 1399. problem olan &#8220;En B\u00fcy\u00fck Grubu Sayma&#8221; problemini inceledik.  Farkl\u0131 \u00e7\u00f6z\u00fcm yakla\u015f\u0131mlar\u0131n\u0131 de\u011ferlendirdik ve Python ile verimli bir \u00e7\u00f6z\u00fcm geli\u015ftirdik.  Bu problem, algoritma ve veri yap\u0131lar\u0131 bilginizi test etmek i\u00e7in g\u00fczel bir \u00f6rnektir.  Daha fazla algoritma problemi \u00e7\u00f6zmek ve yeteneklerinizi geli\u015ftirmek i\u00e7in <a href=\"https:\/\/fatihsoysal.com\">fatihsoysal.com<\/a> sitesini ziyaret edebilirsiniz.  Ayr\u0131ca, daha detayl\u0131 bilgi i\u00e7in <a href=\"https:\/\/dev.to\/mdarifulhaque\/1399-count-largest-group-2fic\">bu kaynak<\/a> faydal\u0131 olacakt\u0131r.<\/p>\n<p>Umar\u0131m bu makale size yard\u0131mc\u0131 olmu\u015ftur!<\/p>\n<p>#Etiketler: En B\u00fcy\u00fck Grubu Sayma, LeetCode, 1399, Algoritma, Python, Programlama, Basamak Toplam\u0131, Hash Table, Veri Yap\u0131lar\u0131, Performans Analizi, Fatih Soysal<\/p>\n","protected":false},"excerpt":{"rendered":"En B\u00fcy\u00fck Grubu Sayma (1399) Merhaba, ben Fatih Soysal ve bug\u00fcn LeetCode&#8217;daki 1399. problem olan &#8220;En B\u00fcy\u00fck Grubu&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-18996","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>En B\u00fcy\u00fck Grubu Sayma (1399)<\/title>\n<meta name=\"description\" content=\"Merhaba, ben Fatih Soysal ve bug\u00fcn LeetCode&#039;daki 1399. problem olan &quot;En B\u00fcy\u00fck Grubu Sayma&quot; problemini detayl\u0131 olarak inceleyece\u011fiz. Bu problem, say\u0131lar\u0131n digit toplamlar\u0131na g\u00f6re grupland\u0131r\u0131lmas\u0131n\u0131 ve en b\u00fcy\u00fck grubun boyutunu bulmay\u0131 gerektiriyor. \u00d6ncelikle problemi daha iyi anlamak i\u00e7in \u00f6rneklerle ba\u015flayal\u0131m. Daha sonra, farkl\u0131 \u00e7\u00f6z\u00fcm yakla\u015f\u0131mlar\u0131n\u0131 ele alaca\u011f\u0131z ve en verimli y\u00f6ntemi belirleyece\u011fiz. Son olarak da, kod \u00f6rne\u011fini ve performans analizini payla\u015faca\u011f\u0131m.\" \/>\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\/en-buyuk-grubu-sayma-1399\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"En B\u00fcy\u00fck Grubu Sayma (1399)\" \/>\n<meta property=\"og:description\" content=\"Merhaba, ben Fatih Soysal ve bug\u00fcn LeetCode&#039;daki 1399. problem olan &quot;En B\u00fcy\u00fck Grubu Sayma&quot; problemini detayl\u0131 olarak inceleyece\u011fiz. Bu problem, say\u0131lar\u0131n digit toplamlar\u0131na g\u00f6re grupland\u0131r\u0131lmas\u0131n\u0131 ve en b\u00fcy\u00fck grubun boyutunu bulmay\u0131 gerektiriyor. \u00d6ncelikle problemi daha iyi anlamak i\u00e7in \u00f6rneklerle ba\u015flayal\u0131m. Daha sonra, farkl\u0131 \u00e7\u00f6z\u00fcm yakla\u015f\u0131mlar\u0131n\u0131 ele alaca\u011f\u0131z ve en verimli y\u00f6ntemi belirleyece\u011fiz. 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Bu problem, say\u0131lar\u0131n digit toplamlar\u0131na g\u00f6re grupland\u0131r\u0131lmas\u0131n\u0131 ve en b\u00fcy\u00fck grubun boyutunu bulmay\u0131 gerektiriyor. \u00d6ncelikle problemi daha iyi anlamak i\u00e7in \u00f6rneklerle ba\u015flayal\u0131m. Daha sonra, farkl\u0131 \u00e7\u00f6z\u00fcm yakla\u015f\u0131mlar\u0131n\u0131 ele alaca\u011f\u0131z ve en verimli y\u00f6ntemi belirleyece\u011fiz. 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Son olarak da, kod \u00f6rne\u011fini ve performans analizini payla\u015faca\u011f\u0131m.","og_url":"https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/","og_site_name":"Kodlar\u0131n Gizemli D\u00fcnyas\u0131","article_published_time":"2025-04-23T14:32:25+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\/en-buyuk-grubu-sayma-1399\/#article","isPartOf":{"@id":"https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/"},"author":{"name":"Fatih Soysal","@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1"},"headline":"En B\u00fcy\u00fck Grubu Sayma (1399)","datePublished":"2025-04-23T14:32:25+00:00","mainEntityOfPage":{"@id":"https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/"},"wordCount":574,"commentCount":0,"publisher":{"@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1"},"inLanguage":"tr","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/#respond"]}],"copyrightYear":"2025","copyrightHolder":{"@id":"https:\/\/fatihsoysal.com\/blog\/#organization"}},{"@type":"WebPage","@id":"https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/","url":"https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/","name":"En B\u00fcy\u00fck Grubu Sayma (1399)","isPartOf":{"@id":"https:\/\/fatihsoysal.com\/blog\/#website"},"datePublished":"2025-04-23T14:32:25+00:00","description":"Merhaba, ben Fatih Soysal ve bug\u00fcn LeetCode'daki 1399. problem olan \"En B\u00fcy\u00fck Grubu Sayma\" problemini detayl\u0131 olarak inceleyece\u011fiz. Bu problem, say\u0131lar\u0131n digit toplamlar\u0131na g\u00f6re grupland\u0131r\u0131lmas\u0131n\u0131 ve en b\u00fcy\u00fck grubun boyutunu bulmay\u0131 gerektiriyor. \u00d6ncelikle problemi daha iyi anlamak i\u00e7in \u00f6rneklerle ba\u015flayal\u0131m. Daha sonra, farkl\u0131 \u00e7\u00f6z\u00fcm yakla\u015f\u0131mlar\u0131n\u0131 ele alaca\u011f\u0131z ve en verimli y\u00f6ntemi belirleyece\u011fiz. Son olarak da, kod \u00f6rne\u011fini ve performans analizini payla\u015faca\u011f\u0131m.","breadcrumb":{"@id":"https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/fatihsoysal.com\/blog\/en-buyuk-grubu-sayma-1399\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Anasayfa","item":"https:\/\/fatihsoysal.com\/blog\/"},{"@type":"ListItem","position":2,"name":"En B\u00fcy\u00fck Grubu Sayma (1399)"}]},{"@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\/18996","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=18996"}],"version-history":[{"count":0,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/posts\/18996\/revisions"}],"wp:attachment":[{"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/media?parent=18996"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/categories?post=18996"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/tags?post=18996"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}