Veri yap\u0131lar\u0131, bilgisayar bilimlerinin temel ta\u015flar\u0131ndan biridir ve bilgiyi verimli bir \u015fekilde depolamak ve i\u015flemek i\u00e7in kullan\u0131l\u0131rlar. A\u011fa\u00e7 tabanl\u0131 veri yap\u0131lar\u0131ndan biri olan Trie (telaffuzu “try” veya “tree” gibi, “retrieval tree” kelimelerinden gelir), \u00f6zellikle string (karakter dizisi) tabanl\u0131 verilerin saklanmas\u0131 ve h\u0131zl\u0131 aranmas\u0131 i\u00e7in tasarlanm\u0131\u015f \u00f6zel bir a\u011fa\u00e7 yap\u0131s\u0131d\u0131r. Hash tablolar\u0131 veya ikili arama a\u011fa\u00e7lar\u0131 (BST) gibi di\u011fer yap\u0131lar\u0131n belirli zorluklar\u0131n\u0131 a\u015fmak amac\u0131yla geli\u015ftirilmi\u015ftir.<\/p>\n
Bir Trie, her bir d\u00fc\u011f\u00fcm\u00fcn bir karakteri temsil etti\u011fi ve bir yolun bir kelimeyi veya bir kelime \u00f6nekini olu\u015fturdu\u011fu hiyerar\u015fik bir yap\u0131d\u0131r. K\u00f6k d\u00fc\u011f\u00fcm genellikle bo\u015f bir karakteri temsil eder. Her d\u00fc\u011f\u00fcm, alfabedeki her olas\u0131 karakter i\u00e7in bir alt d\u00fc\u011f\u00fcm i\u015faret\u00e7isi i\u00e7erir. Bu yap\u0131s\u0131 sayesinde, belirli bir kelimenin varl\u0131\u011f\u0131n\u0131 kontrol etmek veya belirli bir \u00f6nekle ba\u015flayan t\u00fcm kelimeleri bulmak gibi i\u015flemler olduk\u00e7a h\u0131zl\u0131 ger\u00e7ekle\u015ftirilebilir.<\/p>\n
Bu rehberde, Trie veri yap\u0131s\u0131n\u0131n temel prensiplerini, C\/C++ kullanarak nas\u0131l uygulanaca\u011f\u0131n\u0131, temel operasyonlar\u0131n\u0131 (ekleme, arama, \u00f6nek arama), avantajlar\u0131n\u0131, dezavantajlar\u0131n\u0131 ve ger\u00e7ek d\u00fcnya kullan\u0131m alanlar\u0131n\u0131 detayl\u0131 bir \u015fekilde inceleyece\u011fiz. Ayr\u0131ca, en s\u0131k kar\u015f\u0131la\u015f\u0131lan sorulara da yan\u0131tlar bulacaks\u0131n\u0131z.<\/p>\n
Bir Trie’\u0131n temel yap\u0131 ta\u015f\u0131, d\u00fc\u011f\u00fcmd\u00fcr (node). Her d\u00fc\u011f\u00fcm iki ana bilgi par\u00e7as\u0131n\u0131 i\u00e7erir:<\/p>\n
true<\/code> olarak ayarlan\u0131r. Aksi takdirde false<\/code>‘tur. Bu bayrak, bir \u00f6nekin kendisinin de bir kelime olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kritik \u00f6neme sahiptir. \u00d6rne\u011fin, “apple” kelimesini ekledi\u011fimizde ‘e’ harfinin d\u00fc\u011f\u00fcm\u00fcndeki isEndOfWord<\/code> bayra\u011f\u0131 true<\/code> olur. E\u011fer “app” de bir kelime ise, ‘p’ harfinin d\u00fc\u011f\u00fcm\u00fcndeki isEndOfWord<\/code> bayra\u011f\u0131 da true<\/code> olacakt\u0131r.<\/li>\n<\/ol>\nC\/C++’ta Trie D\u00fc\u011f\u00fcm\u00fc Tan\u0131mlamas\u0131<\/h3>\n
C++’ta bir Trie d\u00fc\u011f\u00fcm\u00fcn\u00fc genellikle bir struct<\/code> veya class<\/code> olarak tan\u0131mlar\u0131z. \u0130ngiliz alfabesi i\u00e7in ALPHABET_SIZE<\/code> genellikle 26 olarak belirlenir. Bu, indeksleme kolayl\u0131\u011f\u0131 sa\u011flar (\u00f6rn. char_kodu - 'a'<\/code>).<\/p>\n\n#include \n#include \n#include \/\/ std::vector yerine std::array de kullan\u0131labilir\n\n\/\/ Genellikle k\u00fc\u00e7\u00fck \u0130ngiliz harfleri i\u00e7in 26\nconst int ALPHABET_SIZE = 26;\n\n\/\/ Trie d\u00fc\u011f\u00fcm\u00fc yap\u0131s\u0131\nstruct TrieNode {\n TrieNode* children[ALPHABET_SIZE]; \/\/ Alt d\u00fc\u011f\u00fcmlere i\u015faret\u00e7iler\n bool isEndOfWord; \/\/ Bu d\u00fc\u011f\u00fcm\u00fcn bir kelimenin sonunu temsil edip etmedi\u011fi\n\n \/\/ Kurucu fonksiyon (constructor)\n TrieNode() {\n isEndOfWord = false;\n for (int i = 0; i < ALPHABET_SIZE; ++i) {\n children[i] = nullptr; \/\/ Ba\u015flang\u0131\u00e7ta t\u00fcm alt d\u00fc\u011f\u00fcmler bo\u015f\n }\n }\n \n \/\/ Y\u0131k\u0131c\u0131 fonksiyon (destructor) - Bellek s\u0131z\u0131nt\u0131lar\u0131n\u0131 \u00f6nlemek i\u00e7in\n ~TrieNode() {\n for (int i = 0; i < ALPHABET_SIZE; ++i) {\n delete children[i]; \/\/ Alt d\u00fc\u011f\u00fcmleri \u00f6zyinelemeli olarak sil\n }\n }\n};\n\n\/\/ C tarz\u0131 bir typedef tan\u0131m\u0131 (alternatif)\n\/*\n#define ALPHABET_SIZE 26\ntypedef struct TrieNode {\n struct TrieNode* children[ALPHABET_SIZE];\n int isEndOfWord; \/\/ C'de bool yerine int kullan\u0131labilir (0 veya 1)\n} TrieNode;\n\n\/\/ C'de TrieNode olu\u015fturma fonksiyonu\nTrieNode* createNode() {\n TrieNode newNode = (TrieNode<\/em>)malloc(sizeof(TrieNode));\n if (newNode) {\n newNode->isEndOfWord = 0;\n for (int i = 0; i < ALPHABET_SIZE; ++i) {\n newNode->children[i] = NULL;\n }\n }\n return newNode;\n}\n*\/\n <\/code><\/pre>\nYukar\u0131daki C++ kodunda, her TrieNode<\/code> kendi \u00e7ocuk d\u00fc\u011f\u00fcmlerini y\u00f6netir. ~TrieNode()<\/code> y\u0131k\u0131c\u0131s\u0131, d\u00fc\u011f\u00fcm silindi\u011finde \u00e7ocuk d\u00fc\u011f\u00fcmlerini de \u00f6zyinelemeli olarak silerek bellek s\u0131z\u0131nt\u0131s\u0131n\u0131 \u00f6nlemeye yard\u0131mc\u0131 olur. Bu, Trie’\u0131n tamam\u0131n\u0131 temizlemek i\u00e7in k\u00f6k d\u00fc\u011f\u00fcm\u00fc sildi\u011finizde otomatik olarak t\u00fcm alt d\u00fc\u011f\u00fcmlerin de silinece\u011fi anlam\u0131na gelir.<\/p>\nTrie Operasyonlar\u0131<\/h2>\n
Trie veri yap\u0131s\u0131n\u0131n temel operasyonlar\u0131 kelime ekleme, kelime arama ve \u00f6nek aramad\u0131r. Kelime silme i\u015flemi de m\u00fcmk\u00fcnd\u00fcr ancak di\u011ferlerine g\u00f6re daha karma\u015f\u0131kt\u0131r.<\/p>\n
Kelime Ekleme (Insertion)<\/h3>\n
Bir kelimeyi Trie’a eklemek i\u00e7in, kelimenin her karakteri \u00fczerinde d\u00f6ng\u00fc yap\u0131l\u0131r ve Trie’da ilgili yol olu\u015fturulur. E\u011fer bir karakter i\u00e7in yol zaten varsa, mevcut d\u00fc\u011f\u00fcm kullan\u0131l\u0131r; yoksa yeni bir d\u00fc\u011f\u00fcm olu\u015fturulur. Kelimenin son karakterine ula\u015f\u0131ld\u0131\u011f\u0131nda, ilgili d\u00fc\u011f\u00fcm\u00fcn isEndOfWord<\/code> bayra\u011f\u0131 true<\/code> olarak ayarlan\u0131r.<\/p>\n\n\/\/ Kelime ekleme fonksiyonu\nvoid insert(TrieNode* root, const std::string& key) {\n TrieNode* current = root; \/\/ K\u00f6k d\u00fc\u011f\u00fcmden ba\u015fla\n for (char ch : key) {\n int index = ch - 'a'; \/\/ Karakteri dizi indeksine d\u00f6n\u00fc\u015ft\u00fcr (\u00f6rn. 'a' -> 0)\n if (current->children[index] == nullptr) {\n \/\/ E\u011fer bu karakter i\u00e7in \u00e7ocuk d\u00fc\u011f\u00fcm yoksa, yeni bir tane olu\u015ftur\n current->children[index] = new TrieNode();\n }\n current = current->children[index]; \/\/ Bir sonraki d\u00fc\u011f\u00fcme ge\u00e7\n }\n \/\/ Kelimenin sonuna ula\u015f\u0131ld\u0131\u011f\u0131nda, isEndOfWord bayra\u011f\u0131n\u0131 true yap\n current->isEndOfWord = true;\n}\n <\/code><\/pre>\nKelime Arama (Search)<\/h3>\n
Bir kelimenin Trie’da olup olmad\u0131\u011f\u0131n\u0131 kontrol etmek i\u00e7in, ekleme i\u015flemine benzer bir yol izlenir. Kelimenin her karakteri i\u00e7in ilgili yolda ilerlenir. E\u011fer yolun herhangi bir noktas\u0131nda bir karakter i\u00e7in \u00e7ocuk d\u00fc\u011f\u00fcm bulunamazsa, kelime Trie’da yoktur. T\u00fcm karakterler ba\u015far\u0131yla takip edilirse, son d\u00fc\u011f\u00fcm\u00fcn isEndOfWord<\/code> bayra\u011f\u0131 kontrol edilir. E\u011fer true<\/code> ise kelime var demektir, aksi takdirde (yani sadece bir \u00f6nek olarak varsa) kelime tam olarak bulunamam\u0131\u015ft\u0131r.<\/p>\n\n\/\/ Kelime arama fonksiyonu\nbool search(TrieNode* root, const std::string& key) {\n TrieNode* current = root; \/\/ K\u00f6k d\u00fc\u011f\u00fcmden ba\u015fla\n for (char ch : key) {\n int index = ch - 'a'; \/\/ Karakteri dizi indeksine d\u00f6n\u00fc\u015ft\u00fcr\n if (current->children[index] == nullptr) {\n return false; \/\/ Yolun devam\u0131 yok, kelime bulunamad\u0131\n }\n current = current->children[index]; \/\/ Bir sonraki d\u00fc\u011f\u00fcme ge\u00e7\n }\n \/\/ T\u00fcm karakterler takip edildi, \u015fimdi son d\u00fc\u011f\u00fcm\u00fcn bir kelimenin sonu olup olmad\u0131\u011f\u0131n\u0131 kontrol et\n return current != nullptr && current->isEndOfWord;\n}\n <\/code><\/pre>\n\u00d6nek Arama (Prefix Search)<\/h3>\n
Belirli bir \u00f6nekin (prefix) Trie’da var olup olmad\u0131\u011f\u0131n\u0131 kontrol etmek, kelime aramaya \u00e7ok benzerdir. Tek fark, son d\u00fc\u011f\u00fcm\u00fcn isEndOfWord<\/code> bayra\u011f\u0131n\u0131 kontrol etmeye gerek olmamas\u0131d\u0131r. \u00d6nekin t\u00fcm karakterleri i\u00e7in yol ba\u015far\u0131yla takip edilebiliyorsa, \u00f6nek Trie’da mevcuttur.<\/p>\n\n\/\/ \u00d6nek arama fonksiyonu\nbool startsWith(TrieNode* root, const std::string& prefix) {\n TrieNode* current = root; \/\/ K\u00f6k d\u00fc\u011f\u00fcmden ba\u015fla\n for (char ch : prefix) {\n int index = ch - 'a'; \/\/ Karakteri dizi indeksine d\u00f6n\u00fc\u015ft\u00fcr\n if (current->children[index] == nullptr) {\n return false; \/\/ Yolun devam\u0131 yok, \u00f6nek bulunamad\u0131\n }\n current = current->children[index]; \/\/ Bir sonraki d\u00fc\u011f\u00fcme ge\u00e7\n }\n \/\/ T\u00fcm \u00f6nek karakterleri takip edildi, bu \u00f6nek Trie'da mevcut\n return true;\n}\n <\/code><\/pre>\nKelime Silme (Deletion) Kavram\u0131<\/h3>\n
Trie’dan kelime silme, ekleme ve arama i\u015flemlerine g\u00f6re daha karma\u015f\u0131kt\u0131r. Bir kelimeyi silerken, sadece isEndOfWord<\/code> bayra\u011f\u0131n\u0131 false<\/code> yapmak yeterli de\u011fildir. E\u011fer silinen kelimenin yolu \u00fczerinde ba\u015fka kelimeler veya \u00f6nekler varsa, o d\u00fc\u011f\u00fcmleri silmemeliyiz. Bir d\u00fc\u011f\u00fcm\u00fcn ne zaman g\u00fcvenle silinebilece\u011fi \u015fu ko\u015fullara ba\u011fl\u0131d\u0131r:<\/p>\n\n- D\u00fc\u011f\u00fcm bir kelimenin sonunu i\u015faret etmiyorsa (
isEndOfWord<\/code> false<\/code>).<\/li>\n- D\u00fc\u011f\u00fcm\u00fcn ba\u015fka \u00e7ocuklar\u0131 yoksa (yani ba\u015fka bir kelime veya \u00f6nek i\u00e7in yol olu\u015fturmuyorsa).<\/li>\n<\/ol>\n
Silme i\u015flemi genellikle \u00f6zyinelemeli olarak uygulan\u0131r. Kelimenin sonuna kadar gidilir, isEndOfWord<\/code> bayra\u011f\u0131 false<\/code> yap\u0131l\u0131r. Ard\u0131ndan, geri d\u00f6nerken her d\u00fc\u011f\u00fcm i\u00e7in yukar\u0131daki ko\u015fullar kontrol edilir. E\u011fer bir d\u00fc\u011f\u00fcm silinebilir durumdaysa, bellekten serbest b\u0131rak\u0131l\u0131r ve ebeveyn d\u00fc\u011f\u00fcm\u00fcndeki i\u015faret\u00e7isi nullptr<\/code> yap\u0131l\u0131r. Bu i\u015flem, Trie’\u0131n yap\u0131s\u0131n\u0131 bozmadan bellek verimlili\u011fini korumak i\u00e7in dikkatli bir \u015fekilde yap\u0131lmal\u0131d\u0131r.<\/p>\nTrie’\u0131n Avantajlar\u0131, Dezavantajlar\u0131 ve Kullan\u0131m Alanlar\u0131<\/h2>\nAvantajlar\u0131<\/h3>\n\n- H\u0131zl\u0131 Arama ve Ekleme:<\/strong> Bir kelimenin uzunlu\u011fu L ise, Trie’da arama ve ekleme i\u015flemleri ortalama ve en k\u00f6t\u00fc durumda O(L) zaman karma\u015f\u0131kl\u0131\u011f\u0131na sahiptir. Bu, kelimenin uzunlu\u011funa ba\u011fl\u0131d\u0131r, Trie’daki toplam kelime say\u0131s\u0131na de\u011fil. Hash tablolar\u0131nda ortalama O(L) iken, en k\u00f6t\u00fc durumda O(N*L) olabilir (N kelime say\u0131s\u0131).<\/li>\n
- \u00d6nek Tabanl\u0131 \u0130\u015flemler:<\/strong> \u00d6nek arama, otomatik tamamlama gibi i\u015flemler Trie’da do\u011fal ve \u00e7ok verimlidir.<\/li>\n
- Alfabetik S\u0131ralama:<\/strong> Trie’daki kelimeler, do\u011fal olarak alfabetik s\u0131raya g\u00f6re depolan\u0131r. Bir Trie’\u0131 dola\u015farak kelimeleri alfabetik s\u0131rayla kolayca alabilirsiniz.<\/li>\n
- \u00c7ak\u0131\u015fma Yok:<\/strong> Hash tablolar\u0131nda meydana gelebilen hash \u00e7ak\u0131\u015fmalar\u0131 (collision) Trie’da yoktur.<\/li>\n<\/ul>\n
Dezavantajlar\u0131<\/h3>\n\n- Bellek T\u00fcketimi:<\/strong> Her d\u00fc\u011f\u00fcm\u00fcn alfabedeki her karakter i\u00e7in bir i\u015faret\u00e7i dizisi i\u00e7ermesi nedeniyle, Trie’lar \u00f6zellikle b\u00fcy\u00fck alfabelerle veya seyrek veri setleriyle \u00e7al\u0131\u015f\u0131rken \u00e7ok fazla bellek t\u00fcketebilir.<\/li>\n
- D\u00fc\u011f\u00fcm Say\u0131s\u0131:<\/strong> Depolanan kelime say\u0131s\u0131na ve ortalama kelime uzunlu\u011funa ba\u011fl\u0131 olarak \u00e7ok say\u0131da d\u00fc\u011f\u00fcm olu\u015fturulabilir, bu da bellek y\u00f6netimi y\u00fck\u00fcn\u00fc art\u0131r\u0131r.<\/li>\n
- Sabit Alfabe Boyutu:<\/strong> E\u011fer kullan\u0131lan karakter seti dinamik veya \u00e7ok b\u00fcy\u00fckse (\u00f6rne\u011fin Unicode),
children<\/code> dizisi yerine bir std::map<\/code> kullanmak gerekebilir, bu da performans\u0131 biraz d\u00fc\u015f\u00fcrebilir ve bellek kullan\u0131m\u0131n\u0131 art\u0131rabilir.<\/li>\n<\/ul>\nPratik Kullan\u0131m Alanlar\u0131<\/h3>\n\n- Otomatik Tamamlama ve Yaz\u0131m Denetimi:<\/strong> Arama motorlar\u0131nda, metin edit\u00f6rlerinde veya mesajla\u015fma uygulamalar\u0131nda kelime \u00f6nerileri sunmak i\u00e7in idealdir.<\/li>\n
- S\u00f6zl\u00fck ve Kelime Arama:<\/strong> B\u00fcy\u00fck s\u00f6zl\u00fcklerde kelime arama ve kelime oyunlar\u0131nda (\u00f6rne\u011fin Scrabble) ge\u00e7erli kelimeleri bulmak i\u00e7in kullan\u0131l\u0131r.<\/li>\n
- IP Y\u00f6nlendirme:<\/strong> A\u011f cihazlar\u0131nda IP adreslerinin en uzun \u00f6nek e\u015fle\u015fmesini bulmak i\u00e7in kullan\u0131l\u0131r.<\/li>\n
- Veri S\u0131k\u0131\u015ft\u0131rma:<\/strong> Baz\u0131 veri s\u0131k\u0131\u015ft\u0131rma algoritmalar\u0131nda (\u00f6rn. LZW) s\u00f6zl\u00fck olu\u015fturmak i\u00e7in kullan\u0131labilir.<\/li>\n
- Biyoinformatik:<\/strong> DNA dizilerinde \u00f6r\u00fcnt\u00fc arama gibi karma\u015f\u0131k metin i\u015fleme g\u00f6revlerinde.<\/li>\n<\/ul>\n
Sonu\u00e7 ve S\u0131k\u00e7a Sorulan Sorular (SSS)<\/h2>\n
Trie veri yap\u0131s\u0131, \u00f6zellikle string tabanl\u0131 verilerin h\u0131zl\u0131 bir \u015fekilde aranmas\u0131 ve \u00f6nek tabanl\u0131 i\u015flemlerin ger\u00e7ekle\u015ftirilmesi gereken senaryolarda g\u00fc\u00e7l\u00fc bir \u00e7\u00f6z\u00fcmd\u00fcr. Bellek t\u00fcketimi bir dezavantaj olsa da, sundu\u011fu performans avantajlar\u0131 ve esneklik, onu bir\u00e7ok uygulama i\u00e7in vazge\u00e7ilmez k\u0131lar. C\/C++ gibi d\u00fc\u015f\u00fck seviyeli dillerde uyguland\u0131\u011f\u0131nda, bellek y\u00f6netimine dikkat edilerek y\u00fcksek performansl\u0131 ve verimli sistemler olu\u015fturmak m\u00fcmk\u00fcnd\u00fcr.<\/p>\n
S\u0131k\u00e7a Sorulan Sorular (SSS)<\/h3>\n\n- Trie neden kullan\u0131l\u0131r?<\/dt>\n
- Trie, kelime veya \u00f6nek tabanl\u0131 arama, ekleme ve otomatik tamamlama gibi i\u015flemlerde \u00e7ok h\u0131zl\u0131 (kelime uzunlu\u011funa ba\u011fl\u0131) performans sundu\u011fu i\u00e7in kullan\u0131l\u0131r. Ayr\u0131ca, hash \u00e7ak\u0131\u015fmas\u0131 sorunlar\u0131 ya\u015famaz ve kelimeleri do\u011fal olarak alfabetik s\u0131rada tutar.<\/dd>\n
- Trie’\u0131n zaman karma\u015f\u0131kl\u0131\u011f\u0131 nedir?<\/dt>\n
- Ekleme, arama ve \u00f6nek arama i\u015flemleri i\u00e7in zaman karma\u015f\u0131kl\u0131\u011f\u0131 O(L)’dir, burada L kelimenin (veya \u00f6nekin) uzunlu\u011fudur. Bu, Trie’daki toplam kelime say\u0131s\u0131ndan ba\u011f\u0131ms\u0131zd\u0131r, bu da onu \u00e7ok say\u0131da kelime i\u00e7eren veri setleri i\u00e7in ideal k\u0131lar.<\/dd>\n
- Trie’\u0131n hash tablosuna g\u00f6re avantaj\u0131 nedir?<\/dt>\n
- Trie, hash \u00e7ak\u0131\u015fmalar\u0131 ya\u015famaz ve en k\u00f6t\u00fc durum performans\u0131n\u0131 (O(L)) garanti ederken, hash tablolar\u0131n\u0131n en k\u00f6t\u00fc durumu O(N*L) olabilir (N toplam kelime say\u0131s\u0131). Ayr\u0131ca, Trie do\u011fal olarak \u00f6nek aramay\u0131 ve alfabetik s\u0131ralamay\u0131 destekler, bu da hash tablolar\u0131nda ek mant\u0131k gerektirir.<\/dd>\n
- Trie’da bellek y\u00f6netimi nas\u0131l yap\u0131l\u0131r?<\/dt>\n
- C++’ta
new<\/code> ve delete<\/code> operat\u00f6rleri ile dinamik bellek tahsisi ve serbest b\u0131rakma yap\u0131l\u0131r. \u00d6zellikle TrieNode<\/code> s\u0131n\u0131f\u0131na bir y\u0131k\u0131c\u0131 (destructor) ekleyerek, k\u00f6k d\u00fc\u011f\u00fcm\u00fc sildi\u011finizde t\u00fcm alt d\u00fc\u011f\u00fcmlerin \u00f6zyinelemeli olarak temizlenmesini sa\u011flayabilirsiniz. C’de ise malloc<\/code> ve free<\/code> fonksiyonlar\u0131 kullan\u0131l\u0131r ve bellek serbest b\u0131rakma i\u015flemleri manuel olarak y\u00f6netilmelidir.<\/dd>\n- B\u00fcy\u00fck alfabeler (\u00f6rn. Unicode) i\u00e7in Trie nas\u0131l uygulan\u0131r?<\/dt>\n
- B\u00fcy\u00fck alfabeler i\u00e7in
children<\/code> dizisi yerine std::map><\/code> veya std::unordered_map><\/code> kullanmak daha uygun olabilir. Bu, bellek t\u00fcketimini azalt\u0131r \u00e7\u00fcnk\u00fc sadece ger\u00e7ekten kullan\u0131lan karakterler i\u00e7in d\u00fc\u011f\u00fcm i\u015faret\u00e7ileri depolan\u0131r. Ancak, harita tabanl\u0131 eri\u015fimin dizi indekslemeye g\u00f6re biraz daha yava\u015f olabilece\u011fini unutmamak gerekir (log(k) veya ortalama O(1) ama sabit fakt\u00f6r daha y\u00fcksek, k harita boyutu).<\/dd>\n<\/dl>\n<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"Giri\u015f: Trie Veri Yap\u0131s\u0131 Nedir?\n Veri yap\u0131lar\u0131, bilgisayar bilimlerinin temel ta\u015flar\u0131ndan biridir ve bilgiyi verimli bir \u015fekilde depola","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-37537","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-genel","7":"cs-entry","8":"cs-video-wrap"},"yoast_head":"\n
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