. Kème plus grand élément dans un flux

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Libérer: 2024-08-13 06:53:33
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. Kth Largest Element in a Stream

703. Kème plus grand élément dans un flux

Difficulté :Facile

Sujets : Arbre, conception, arbre de recherche binaire, tas (file d'attente prioritaire), arbre binaire, flux de données

Concevez une classe pour trouver le kième plus grand élément dans un flux. Notez qu'il s'agit du kème plus grand élément dans l'ordre trié, et non du kème élément distinct.

Implémenter la classe KthLargest :

  • KthLargest(int k, int[] nums) Initialise l'objet avec l'entier k et le flux d'entiers nums.
  • int add(int val) Ajoute la valeur entière au flux et renvoie l'élément représentant le kième plus grand élément du flux.

Exemple 1 :

  • *Entrée :
  ["KthLargest", "add", "add", "add", "add", "add"]
  [[3, [4, 5, 8, 2]], [3], [5], [10], [9], [4]]
Copier après la connexion
  • Sortie : [null, 4, 5, 5, 8, 8]
  • Explication :
  KthLargest kthLargest = new KthLargest(3, [4, 5, 8, 2]);
  kthLargest.add(3);   // return 4
  kthLargest.add(5);   // return 5
  kthLargest.add(10);  // return 5
  kthLargest.add(9);   // return 8
  kthLargest.add(4);   // return 8
Copier après la connexion

Exemple 2 :

  • Entrée :
  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Copier après la connexion
  • Sortie :
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Copier après la connexion

Contraintes :

  • 1 <= k <= 104
  • 0 <= nums.length <= 104
  • -104 <= nums[i] <= 104
  • -104 <= val <= 104
  • Au maximum 104 appels seront passés pour ajouter.
  • Il est garanti qu'il y aura au moins k éléments dans le tableau lorsque vous recherchez le kème élément.

Solution :

Nous pouvons utiliser une structure de données min-heap. Voici un guide étape par étape pour implémenter la classe KthLargest à l'aide de PHP :

  1. Structure de données Min-Heap : Nous maintiendrons un min-heap (file d'attente prioritaire) de taille k. La racine de ce tas nous donnera toujours le k-ième plus grand élément.

  2. Initialisation : Lors de l'initialisation, nous ajouterons les k premiers éléments du flux au min-heap. Pour tout élément supplémentaire, nous comparerons chaque nouvel élément avec le plus petit élément du tas (la racine). Si le nouvel élément est plus grand, nous remplaçons le plus petit élément par ce nouvel élément et ajustons le tas pour conserver la taille k.

  3. Ajout d'éléments : Chaque fois qu'un élément est ajouté au flux, nous utilisons le même processus de comparaison et éventuellement de remplacement d'éléments dans le tas.

Voici le code PHP pour implémenter la classe KthLargest : 703. Kième plus grand élément d'un flux

Explication:

  1. Constructeur de classe :

    • Initialise un min-heap pour garder une trace des k principaux éléments.
    • Insère chaque élément du tableau nums initial dans le tas à l'aide de la méthode add.
  2. ajouter une méthode :

    • Si le tas contient moins de k éléments, la nouvelle valeur est simplement insérée.
    • Si le tas contient déjà k éléments, comparez la nouvelle valeur avec la plus petite valeur (racine) du tas :
      • Si la nouvelle valeur est supérieure, supprimez la plus petite valeur et insérez la nouvelle valeur.
    • Enfin, renvoie la plus petite valeur du tas, qui est le k-ième plus grand élément.

Cette approche garantit que nous gardons efficacement une trace du k-ème plus grand élément à chaque insertion dans le flux, en maintenant une complexité O(log k) pour les opérations d'insertion dues aux opérations de tas.

Liens de contact

Si vous avez trouvé cette série utile, pensez à donner une étoile au référentiel sur GitHub ou à partager la publication sur vos réseaux sociaux préférés ?. Votre soutien signifierait beaucoup pour moi !

Si vous souhaitez du contenu plus utile comme celui-ci, n'hésitez pas à me suivre :

  • LinkedIn
  • GitHub

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