{"id":7667,"date":"2024-12-25T20:15:13","date_gmt":"2024-12-25T17:15:13","guid":{"rendered":"https:\/\/fatihsoysal.com\/blog\/her-satirdaki-en-buyuk-degeri-bulma-bir-agac-gezintisi\/"},"modified":"2024-12-25T20:15:13","modified_gmt":"2024-12-25T17:15:13","slug":"her-satirdaki-en-buyuk-degeri-bulma-bir-agac-gezintisi","status":"publish","type":"post","link":"https:\/\/fatihsoysal.com\/blog\/her-satirdaki-en-buyuk-degeri-bulma-bir-agac-gezintisi\/","title":{"rendered":"Her Sat\u0131rdaki En B\u00fcy\u00fck De\u011feri Bulma: Bir A\u011fa\u00e7 Gezintisi"},"content":{"rendered":"

<\/p>\n

Her Sat\u0131rdaki En B\u00fcy\u00fck De\u011feri Bulma: Bir A\u011fa\u00e7 Gezintisi<\/p>\n

Merhaba! Fatih Soysal olarak, bug\u00fcn a\u011fa\u00e7 veri yap\u0131lar\u0131nda her sat\u0131rdaki en b\u00fcy\u00fck de\u011feri bulma problemine detayl\u0131 bir \u015fekilde bakaca\u011f\u0131z. Bu, \u00f6zellikle veri bilimi ve yaz\u0131l\u0131m geli\u015ftirme alanlar\u0131nda s\u0131k\u00e7a kar\u015f\u0131la\u015f\u0131lan bir problemdir. \u00d6ncelikle problemi anlayarak ba\u015flayal\u0131m, daha sonra \u00e7\u00f6z\u00fcm algoritmalar\u0131n\u0131 ve kod \u00f6rneklerini inceleyece\u011fiz. Bu konuda dev.to \u00fczerindeki bu makale<\/a> de faydal\u0131 bilgiler sunmaktad\u0131r. Ayr\u0131ca, bu problemle ilgili daha fazla bilgiye kendi web sitemden<\/a> ula\u015fabilirsiniz.<\/p>\n

Problem Tan\u0131m\u0131<\/h2>\n

Problem, bir ikili a\u011fa\u00e7 (binary tree) verilip, her bir sat\u0131rdaki en b\u00fcy\u00fck d\u00fc\u011f\u00fcm de\u011ferini bulmay\u0131 gerektirir. Ba\u015fka bir deyi\u015fle, a\u011fac\u0131n her seviyesindeki en b\u00fcy\u00fck de\u011feri tespit etmeliyiz. Bu, geni\u015flik \u00f6ncelikli arama (BFS – Breadth-First Search) algoritmas\u0131 kullanarak kolayca \u00e7\u00f6z\u00fclebilir. Bu algoritma, a\u011fac\u0131 seviye seviye tarayarak her seviyedeki maksimum de\u011feri bulmam\u0131z\u0131 sa\u011flar.<\/p>\n

\u00c7\u00f6z\u00fcm Algoritmas\u0131 (BFS ile)<\/h2>\n

Geni\u015flik \u00f6ncelikli arama (BFS) kullanarak, her sat\u0131rdaki en b\u00fcy\u00fck de\u011feri bulmak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 izleyebiliriz:<\/p>\n

    \n
  1. Bir kuyruk (queue) olu\u015fturun ve k\u00f6k d\u00fc\u011f\u00fcm\u00fc kuyru\u011fa ekleyin.<\/li>\n
  2. Her sat\u0131r i\u00e7in bir maksimum de\u011fer de\u011fi\u015fkeni ba\u015flat\u0131n.<\/li>\n
  3. Kuyruk bo\u015falana kadar a\u015fa\u011f\u0131daki i\u015flemleri tekrarlay\u0131n:<\/li>\n
  4. Kuyru\u011fun ba\u015f\u0131ndaki d\u00fc\u011f\u00fcm\u00fc \u00e7\u0131kar\u0131n ve de\u011ferini mevcut sat\u0131r\u0131n maksimum de\u011feri ile kar\u015f\u0131la\u015ft\u0131r\u0131n. Daha b\u00fcy\u00fckse g\u00fcncelleyin.<\/li>\n
  5. \u00c7\u0131kar\u0131lan d\u00fc\u011f\u00fcm\u00fcn \u00e7ocuklar\u0131n\u0131 (varsa) kuyru\u011fa ekleyin.<\/li>\n
  6. Bir sat\u0131r tamamland\u0131\u011f\u0131nda, maksimum de\u011feri sonu\u00e7 listesine ekleyin ve yeni bir sat\u0131r i\u00e7in maksimum de\u011fer de\u011fi\u015fkenini s\u0131f\u0131rlay\u0131n.<\/li>\n<\/ol>\n

    Kod \u00d6rne\u011fi (Python)<\/h2>\n
    \ndef largestValuesInEachRow(root):\n    if not root:\n        return []\n    result = []\n    queue = [root]\n    while queue:\n        max_val = float('-inf')\n        size = len(queue)\n        for i in range(size):\n            node = queue.pop(0)\n            max_val = max(max_val, node.val)\n            if node.left:\n                queue.append(node.left)\n            if node.right:\n                queue.append(node.right)\n        result.append(max_val)\n    return result\n<\/code><\/pre>\n
    Bu Python kod \u00f6rne\u011fi, BFS algoritmas\u0131n\u0131 kullanarak her sat\u0131rdaki en b\u00fcy\u00fck de\u011feri bulmaktad\u0131r.  Kod a\u00e7\u0131k ve anla\u015f\u0131l\u0131r bir \u015fekilde yaz\u0131lm\u0131\u015ft\u0131r ve her ad\u0131mda ne yap\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6stermektedir.  Burada,  node.val<\/code>, d\u00fc\u011f\u00fcm\u00fcn de\u011ferini temsil ederken, node.left<\/code> ve node.right<\/code> s\u0131ras\u0131yla sol ve sa\u011f \u00e7ocuk d\u00fc\u011f\u00fcmleri anlam\u0131na gelmektedir.  Bu kodun do\u011fru \u00e7al\u0131\u015fmas\u0131 i\u00e7in, a\u011fa\u00e7 yap\u0131s\u0131n\u0131n uygun \u015fekilde tan\u0131mlanm\u0131\u015f olmas\u0131 gerekmektedir.<\/p>\n
    Karma\u015f\u0131kl\u0131k Analizi<\/h2>\n
    Bu algoritman\u0131n zaman karma\u015f\u0131kl\u0131\u011f\u0131 O(N) olup, burada N a\u011fa\u00e7taki d\u00fc\u011f\u00fcm say\u0131s\u0131n\u0131 temsil eder.  \u00c7\u00fcnk\u00fc her d\u00fc\u011f\u00fcm\u00fc tam olarak bir kere ziyaret ediyoruz.  Uzay karma\u015f\u0131kl\u0131\u011f\u0131 da O(W) dir, burada W a\u011fac\u0131n geni\u015fli\u011fidir (en geni\u015f seviyedeki d\u00fc\u011f\u00fcm say\u0131s\u0131).  Bu, BFS algoritmas\u0131n\u0131n kuyru\u011funda tutulan maksimum d\u00fc\u011f\u00fcm say\u0131s\u0131ndan kaynaklanmaktad\u0131r.<\/p>\n
    Sonu\u00e7<\/h2>\n
    Bu makalede, a\u011fa\u00e7 veri yap\u0131lar\u0131nda her sat\u0131rdaki en b\u00fcy\u00fck de\u011feri bulma problemini ele ald\u0131k.  Geni\u015flik \u00f6ncelikli arama (BFS) algoritmas\u0131n\u0131n, bu problem i\u00e7in verimli bir \u00e7\u00f6z\u00fcm sa\u011flad\u0131\u011f\u0131n\u0131 g\u00f6rd\u00fck.  Python dilinde bir kod \u00f6rne\u011fi ile algoritmay\u0131 uygulamay\u0131 g\u00f6sterdik ve zaman ve uzay karma\u015f\u0131kl\u0131klar\u0131n\u0131 analiz ettik.  Umar\u0131m bu makale, bu konudaki anlay\u0131\u015f\u0131n\u0131z\u0131 geli\u015ftirmi\u015ftir.  Herhangi bir sorunuz veya \u00f6neriniz varsa, l\u00fctfen bana bildirin. <\/p>\n
    Umar\u0131m bu makale faydal\u0131 olmu\u015ftur!  Daha fazla bilgi i\u00e7in web sitemi<\/a> ziyaret edebilirsiniz.<\/p>\n
    #Etiketler: a\u011fa\u00e7 yap\u0131s\u0131, a\u011fa\u00e7 algoritmalar\u0131, en b\u00fcy\u00fck de\u011fer, sat\u0131r, algoritma, kodlama, programlama, python, BFS, geni\u015flik \u00f6ncelikli arama, leetcode
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Fatih Soysal olarak, bug\u00fcn a\u011fa\u00e7 veri yap\u0131lar\u0131nda her sat\u0131rdaki en b\u00fcy\u00fck de\u011feri bulma problemine detayl\u0131 bir \u015fekilde bakaca\u011f\u0131z. Bu, \u00f6zellikle veri bilimi ve yaz\u0131l\u0131m geli\u015ftirme alanlar\u0131nda s\u0131k\u00e7a kar\u015f\u0131la\u015f\u0131lan bir problemdir. \u00d6ncelikle problemi anlayarak ba\u015flayal\u0131m, daha sonra \u00e7\u00f6z\u00fcm algoritmalar\u0131n\u0131 ve kod \u00f6rneklerini inceleyece\u011fiz. Bu konuda dev.to \u00fczerindeki bu makale de faydal\u0131 bilgiler sunmaktad\u0131r. Ayr\u0131ca, bu problemle ilgili daha fazla bilgiye kendi web sitemden ula\u015fabilirsiniz.\" \/>\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\/her-satirdaki-en-buyuk-degeri-bulma-bir-agac-gezintisi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Her Sat\u0131rdaki En B\u00fcy\u00fck De\u011feri Bulma: Bir A\u011fa\u00e7 Gezintisi\" \/>\n<meta property=\"og:description\" content=\"Merhaba! Fatih Soysal olarak, bug\u00fcn a\u011fa\u00e7 veri yap\u0131lar\u0131nda her sat\u0131rdaki en b\u00fcy\u00fck de\u011feri bulma problemine detayl\u0131 bir \u015fekilde bakaca\u011f\u0131z. Bu, \u00f6zellikle veri bilimi ve yaz\u0131l\u0131m geli\u015ftirme alanlar\u0131nda s\u0131k\u00e7a kar\u015f\u0131la\u015f\u0131lan bir problemdir. \u00d6ncelikle problemi anlayarak ba\u015flayal\u0131m, daha sonra \u00e7\u00f6z\u00fcm algoritmalar\u0131n\u0131 ve kod \u00f6rneklerini inceleyece\u011fiz. Bu konuda dev.to \u00fczerindeki bu makale de faydal\u0131 bilgiler sunmaktad\u0131r. 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