{"id":8663,"date":"2025-01-05T05:00:12","date_gmt":"2025-01-05T02:00:12","guid":{"rendered":"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/"},"modified":"2025-01-05T05:00:12","modified_gmt":"2025-01-05T02:00:12","slug":"javascript-ile-en-uzun-artan-alt-dizi-bulma","status":"publish","type":"post","link":"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/","title":{"rendered":"JavaScript ile En Uzun Artan Alt Dizi Bulma"},"content":{"rendered":"<p>JavaScript ile En Uzun Artan Alt Dizi Bulma<\/p>\n<p>Merhaba! Bug\u00fcn, JavaScript programlama dilinde en uzun artan alt diziyi (Longest Increasing Subsequence &#8211; LIS) bulma problemine detayl\u0131 bir \u015fekilde bakaca\u011f\u0131z.  Bu problem, algoritma ve veri yap\u0131lar\u0131 alan\u0131nda s\u0131k\u00e7a kar\u015f\u0131la\u015f\u0131lan ve farkl\u0131 \u00e7\u00f6z\u00fcm y\u00f6ntemleri olan \u00f6nemli bir konudur.  Yaz\u0131m\u0131zda, hem problemi anlayaca\u011f\u0131z hem de etkili bir JavaScript \u00e7\u00f6z\u00fcm\u00fc geli\u015ftirece\u011fiz.  Ayr\u0131ca,  performans kar\u015f\u0131la\u015ft\u0131rmalar\u0131 yaparak farkl\u0131 yakla\u015f\u0131mlar\u0131n g\u00fc\u00e7l\u00fc ve zay\u0131f y\u00f6nlerini ele alaca\u011f\u0131z.<\/p>\n<p>\u00d6ncelikle,  problemi daha iyi anlamak i\u00e7in bir \u00f6rnek verelim.  [10, 9, 2, 5, 3, 7, 101, 18] dizisi ele al\u0131nd\u0131\u011f\u0131nda, en uzun artan alt dizi [2, 3, 7, 101] veya [2, 5, 7, 101] olabilir.  Her iki dizinin uzunlu\u011fu da 4&#8217;t\u00fcr ve bu problemde arad\u0131\u011f\u0131m\u0131z en uzun artan alt dizinin uzunlu\u011fudur.  Bu de\u011fer, farkl\u0131 alt dizilerin uzunluklar\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131larak bulunur.  Bu problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in \u00e7e\u015fitli algoritmalar kullan\u0131labilir, ancak en yayg\u0131n olanlar\u0131 dinamik programlama ve ikili arama kullanarak yap\u0131lan yakla\u015f\u0131mlard\u0131r.<\/p>\n<h2>Dinamik Programlama ile \u00c7\u00f6z\u00fcm<\/h2>\n<p>Dinamik programlama yakla\u015f\u0131m\u0131, alt problemlerin \u00e7\u00f6z\u00fcmlerini saklayarak ve tekrar eden hesaplamalar\u0131 \u00f6nleyerek daha verimli bir \u00e7\u00f6z\u00fcm sunar.  Bu y\u00f6ntemde, her bir eleman i\u00e7in, o elemana kadar uzanan en uzun artan alt dizinin uzunlu\u011funu hesaplar\u0131z.  Bu uzunluklar, bir dizi i\u00e7erisinde saklan\u0131r ve sonras\u0131nda en b\u00fcy\u00fck de\u011fer bulunarak en uzun artan alt dizinin uzunlu\u011fu belirlenir.<\/p>\n<pre><code class=\"language-javascript\">\nfunction longestIncreasingSubsequence(nums) {\n  if (nums.length === 0) return 0;\n  const dp = new Array(nums.length).fill(1); \/\/ Her eleman\u0131n en az 1 uzunlukta artan alt dizisi vard\u0131r.\n  for (let i = 1; i &lt; nums.length; i++) {\n    for (let j = 0; j &lt; i; j++) {\n      if (nums[i] &gt; nums[j]) {\n        dp[i] = Math.max(dp[i], dp[j] + 1);\n      }\n    }\n  }\n  return Math.max(...dp);\n}\n\nconsole.log(longestIncreasingSubsequence([10,9,2,5,3,7,101,18])); \/\/ 4\n<\/code><\/pre>\n<p>Yukar\u0131daki kodda,  dp dizisi her eleman i\u00e7in en uzun artan alt dizinin uzunlu\u011funu tutar.  \u0130\u00e7 i\u00e7e d\u00f6ng\u00fclerle, \u00f6nceki elemanlarla kar\u015f\u0131la\u015ft\u0131rma yap\u0131larak  dp dizisi g\u00fcncellenir.  Sonras\u0131nda, dp dizisindeki en b\u00fcy\u00fck de\u011fer, en uzun artan alt dizinin uzunlu\u011funu verir.  Bu y\u00f6ntemin zaman karma\u015f\u0131kl\u0131\u011f\u0131 O(n\u00b2) \u015feklindedir, yani dizi uzunlu\u011funun karesiyle orant\u0131l\u0131d\u0131r.<\/p>\n<h2>\u0130kili Arama ile Optimize Edilmi\u015f \u00c7\u00f6z\u00fcm<\/h2>\n<p>Dinamik programlama y\u00f6ntemini ikili arama ile birle\u015ftirerek daha verimli bir \u00e7\u00f6z\u00fcm elde edebiliriz.  Bu y\u00f6ntemde, artan bir alt dizi tutar ve yeni bir eleman geldi\u011finde, ikili arama ile bu alt dizide uygun bir yer buluruz.  Bu, zaman karma\u015f\u0131kl\u0131\u011f\u0131n\u0131 O(n log n) seviyesine d\u00fc\u015f\u00fcr\u00fcr.<\/p>\n<p>Bu y\u00f6ntem, daha karma\u015f\u0131k g\u00f6r\u00fcnse de, b\u00fcy\u00fck veri k\u00fcmeleri i\u00e7in \u00e7ok daha h\u0131zl\u0131 bir \u00e7\u00f6z\u00fcm sunar.  Ancak, her iki y\u00f6ntem de problemi \u00e7\u00f6zmede etkilidir ve veri setinin b\u00fcy\u00fckl\u00fc\u011f\u00fcne ba\u011fl\u0131 olarak tercih edilebilirler.  Daha fazla bilgi i\u00e7in <a href=\"https:\/\/fatihsoysal.com\">fatihsoysal.com<\/a> adresini ziyaret edebilirsiniz. <\/p>\n<p>Sonu\u00e7 olarak, en uzun artan alt dizi problemi, algoritma ve veri yap\u0131lar\u0131 alan\u0131nda \u00f6nemli bir problemdir ve farkl\u0131 \u00e7\u00f6z\u00fcm y\u00f6ntemleri sunmaktad\u0131r.  Bu makalede ele ald\u0131\u011f\u0131m\u0131z dinamik programlama ve ikili arama tabanl\u0131 y\u00f6ntemler, bu problem i\u00e7in etkili \u00e7\u00f6z\u00fcmler sunmaktad\u0131r.  Veri setinin b\u00fcy\u00fckl\u00fc\u011f\u00fc ve performans gereksinimleri g\u00f6z \u00f6n\u00fcnde bulundurularak en uygun y\u00f6ntem se\u00e7ilebilir.  Daha fazla \u00f6rnek ve detayl\u0131 a\u00e7\u0131klamalar i\u00e7in <a href=\"https:\/\/dev.to\/dpc\/daily-javascript-challenge-js-65-find-the-longest-increasing-subsequence-4ppc\">bu ba\u011flant\u0131y\u0131<\/a> inceleyebilirsiniz.<\/p>\n<p> #Etiketler: JavaScript, Algoritma, Veri Yap\u0131lar\u0131, En Uzun Artan Alt Dizi, Dinamik Programlama, \u0130kili Arama, Longest Increasing Subsequence, LIS, Programlama, Kodlama <\/p>\n","protected":false},"excerpt":{"rendered":"JavaScript ile En Uzun Artan Alt Dizi Bulma Merhaba! Bug\u00fcn, JavaScript programlama dilinde en uzun artan alt diziyi&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-8663","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>JavaScript ile En Uzun Artan Alt Dizi Bulma<\/title>\n<meta name=\"description\" content=\"Merhaba! Bug\u00fcn, JavaScript programlama dilinde en uzun artan alt diziyi (Longest Increasing Subsequence - LIS) bulma problemine detayl\u0131 bir \u015fekilde bakaca\u011f\u0131z. Bu problem, algoritma ve veri yap\u0131lar\u0131 alan\u0131nda s\u0131k\u00e7a kar\u015f\u0131la\u015f\u0131lan ve farkl\u0131 \u00e7\u00f6z\u00fcm y\u00f6ntemleri olan \u00f6nemli bir konudur. Yaz\u0131m\u0131zda, hem problemi anlayaca\u011f\u0131z hem de etkili bir JavaScript \u00e7\u00f6z\u00fcm\u00fc geli\u015ftirece\u011fiz. Ayr\u0131ca, performans kar\u015f\u0131la\u015ft\u0131rmalar\u0131 yaparak farkl\u0131 yakla\u015f\u0131mlar\u0131n g\u00fc\u00e7l\u00fc ve zay\u0131f y\u00f6nlerini ele alaca\u011f\u0131z.\" \/>\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\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"JavaScript ile En Uzun Artan Alt Dizi Bulma\" \/>\n<meta property=\"og:description\" content=\"Merhaba! Bug\u00fcn, JavaScript programlama dilinde en uzun artan alt diziyi (Longest Increasing Subsequence - LIS) bulma problemine detayl\u0131 bir \u015fekilde bakaca\u011f\u0131z. Bu problem, algoritma ve veri yap\u0131lar\u0131 alan\u0131nda s\u0131k\u00e7a kar\u015f\u0131la\u015f\u0131lan ve farkl\u0131 \u00e7\u00f6z\u00fcm y\u00f6ntemleri olan \u00f6nemli bir konudur. Yaz\u0131m\u0131zda, hem problemi anlayaca\u011f\u0131z hem de etkili bir JavaScript \u00e7\u00f6z\u00fcm\u00fc geli\u015ftirece\u011fiz. Ayr\u0131ca, performans kar\u015f\u0131la\u015ft\u0131rmalar\u0131 yaparak farkl\u0131 yakla\u015f\u0131mlar\u0131n g\u00fc\u00e7l\u00fc ve zay\u0131f y\u00f6nlerini ele alaca\u011f\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/\" \/>\n<meta property=\"og:site_name\" content=\"Kodlar\u0131n Gizemli D\u00fcnyas\u0131\" \/>\n<meta property=\"article:published_time\" content=\"2025-01-05T02:00:12+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\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/\"},\"author\":{\"name\":\"Fatih Soysal\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1\"},\"headline\":\"JavaScript ile En Uzun Artan Alt Dizi Bulma\",\"datePublished\":\"2025-01-05T02:00:12+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/\"},\"wordCount\":548,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/#respond\"]}],\"copyrightYear\":\"2025\",\"copyrightHolder\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#organization\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/\",\"url\":\"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/\",\"name\":\"JavaScript ile En Uzun Artan Alt Dizi Bulma\",\"isPartOf\":{\"@id\":\"https:\/\/fatihsoysal.com\/blog\/#website\"},\"datePublished\":\"2025-01-05T02:00:12+00:00\",\"description\":\"Merhaba! Bug\u00fcn, JavaScript programlama dilinde en uzun artan alt diziyi (Longest Increasing Subsequence - LIS) bulma problemine detayl\u0131 bir \u015fekilde bakaca\u011f\u0131z. Bu problem, algoritma ve veri yap\u0131lar\u0131 alan\u0131nda s\u0131k\u00e7a kar\u015f\u0131la\u015f\u0131lan ve farkl\u0131 \u00e7\u00f6z\u00fcm y\u00f6ntemleri olan \u00f6nemli bir konudur. Yaz\u0131m\u0131zda, hem problemi anlayaca\u011f\u0131z hem de etkili bir JavaScript \u00e7\u00f6z\u00fcm\u00fc geli\u015ftirece\u011fiz. 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Bug\u00fcn, JavaScript programlama dilinde en uzun artan alt diziyi (Longest Increasing Subsequence - LIS) bulma problemine detayl\u0131 bir \u015fekilde bakaca\u011f\u0131z. Bu problem, algoritma ve veri yap\u0131lar\u0131 alan\u0131nda s\u0131k\u00e7a kar\u015f\u0131la\u015f\u0131lan ve farkl\u0131 \u00e7\u00f6z\u00fcm y\u00f6ntemleri olan \u00f6nemli bir konudur. Yaz\u0131m\u0131zda, hem problemi anlayaca\u011f\u0131z hem de etkili bir JavaScript \u00e7\u00f6z\u00fcm\u00fc geli\u015ftirece\u011fiz. Ayr\u0131ca, performans kar\u015f\u0131la\u015ft\u0131rmalar\u0131 yaparak farkl\u0131 yakla\u015f\u0131mlar\u0131n g\u00fc\u00e7l\u00fc ve zay\u0131f y\u00f6nlerini ele alaca\u011f\u0131z.","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\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/","og_locale":"tr_TR","og_type":"article","og_title":"JavaScript ile En Uzun Artan Alt Dizi Bulma","og_description":"Merhaba! Bug\u00fcn, JavaScript programlama dilinde en uzun artan alt diziyi (Longest Increasing Subsequence - LIS) bulma problemine detayl\u0131 bir \u015fekilde bakaca\u011f\u0131z. Bu problem, algoritma ve veri yap\u0131lar\u0131 alan\u0131nda s\u0131k\u00e7a kar\u015f\u0131la\u015f\u0131lan ve farkl\u0131 \u00e7\u00f6z\u00fcm y\u00f6ntemleri olan \u00f6nemli bir konudur. 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Ayr\u0131ca, performans kar\u015f\u0131la\u015ft\u0131rmalar\u0131 yaparak farkl\u0131 yakla\u015f\u0131mlar\u0131n g\u00fc\u00e7l\u00fc ve zay\u0131f y\u00f6nlerini ele alaca\u011f\u0131z.","og_url":"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/","og_site_name":"Kodlar\u0131n Gizemli D\u00fcnyas\u0131","article_published_time":"2025-01-05T02:00:12+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\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/#article","isPartOf":{"@id":"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/"},"author":{"name":"Fatih Soysal","@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1"},"headline":"JavaScript ile En Uzun Artan Alt Dizi Bulma","datePublished":"2025-01-05T02:00:12+00:00","mainEntityOfPage":{"@id":"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/"},"wordCount":548,"commentCount":0,"publisher":{"@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1"},"inLanguage":"tr","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/#respond"]}],"copyrightYear":"2025","copyrightHolder":{"@id":"https:\/\/fatihsoysal.com\/blog\/#organization"}},{"@type":"WebPage","@id":"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/","url":"https:\/\/fatihsoysal.com\/blog\/javascript-ile-en-uzun-artan-alt-dizi-bulma\/","name":"JavaScript ile En Uzun Artan Alt Dizi Bulma","isPartOf":{"@id":"https:\/\/fatihsoysal.com\/blog\/#website"},"datePublished":"2025-01-05T02:00:12+00:00","description":"Merhaba! 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