. K-tes größtes Element in einem Stream

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

703. K-tes größtes Element in einem Stream

Schwierigkeit:Einfach

Themen:Baum, Design, Binärer Suchbaum, Heap (Prioritätswarteschlange), Binärbaum, Datenstrom

Entwerfen Sie eine Klasse, um das ktegrößte Element in einem Stream zu finden. Beachten Sie, dass es das k-tegrößte Element in der sortierten Reihenfolge ist, nicht das k-teeindeutige Element.

Implementieren Sie KthGrößte Klasse:

  • KthLargest(int k, int[] nums) Initialisiert das Objekt mit der Ganzzahl k und dem Strom von Ganzzahlen nums.
  • int add(int val) Hängt den ganzzahligen Wert an den Stream an und gibt das Element zurück, das das k-tegrößte Element im Stream darstellt.

Beispiel 1:

  • *Eingabe:
["KthLargest", "add", "add", "add", "add", "add"] [[3, [4, 5, 8, 2]], [3], [5], [10], [9], [4]]
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  • Ausgabe:[null, 4, 5, 5, 8, 8]
  • Erklärung:
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
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Beispiel 2:

  • Eingabe:
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Einschränkungen:

  • 1 <= k <= 104
  • 0 <= nums.length <= 104
  • -104<= nums[i] <= 104
  • -104<= Wert <= 104
  • Es werden höchstens 104Aufrufe zum Hinzufügen getätigt.
  • Es ist garantiert, dass das Array mindestens k Elemente enthält, wenn Sie nach dem ktenElement suchen.

Lösung:

Wir können eine Min-Heap-Datenstruktur verwenden. Hier ist eine Schritt-für-Schritt-Anleitung zur Implementierung der KthLargest-Klasse mit PHP:

  1. Min-Heap-Datenstruktur: Wir werden einen Min-Heap (Prioritätswarteschlange) der Größe k verwalten. Die Wurzel dieses Heaps gibt uns immer das k-te größte Element.

  2. Initialisierung: Während der Initialisierung fügen wir die ersten k Elemente des Streams zum Min-Heap hinzu. Für alle zusätzlichen Elemente vergleichen wir jedes neue Element mit dem kleinsten Element im Heap (der Wurzel). Wenn das neue Element größer ist, ersetzen wir das kleinste Element durch dieses neue Element und passen den Heap an, um die k-Größe beizubehalten.

  3. Elemente hinzufügen: Jedes Mal, wenn ein Element zum Stream hinzugefügt wird, verwenden wir den gleichen Prozess zum Vergleichen und möglicherweise Ersetzen von Elementen im Heap.

Hier ist der PHP-Code zur Implementierung der KthLargest-Klasse:703. K-tes größtes Element in einem Stream

Erläuterung:

  1. Klassenkonstruktor:

    • Initialisiert einen Min-Heap, um die Top-k-Elemente im Auge zu behalten.
    • Fügt jedes Element aus dem anfänglichen Nums-Array mithilfe der Add-Methode in den Heap ein.
  2. Methode hinzufügen:

    • Wenn der Heap weniger als k Elemente enthält, wird der neue Wert einfach eingefügt.
    • Wenn der Heap bereits k Elemente enthält, vergleichen Sie den neuen Wert mit dem kleinsten Wert (Wurzel) im Heap:
      • Wenn der neue Wert größer ist, entfernen Sie den kleinsten Wert und fügen Sie den neuen Wert ein.
    • Zuletzt wird der kleinste Wert im Heap zurückgegeben, der das k-größte Element darstellt.

Dieser Ansatz stellt sicher, dass wir das k-größte Element bei jeder Einfügung in den Stream effizient verfolgen und dabei aufgrund der Heap-Operationen eine O(log k)-Komplexität für Einfügungsvorgänge beibehalten.

Kontaktlinks

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