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。流中的第 K 個最大元素

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WBOY原創
2024-08-13 06:53:33296瀏覽

. Kth Largest Element in a Stream

703。流中第 K 最大元素

難度:簡單

主題:樹、設計、二元搜尋樹、堆疊(優先權佇列)、二元樹、資料流

設計一個類別來找出流中第 k 最大元素。請注意,它是排序順序中第 kth 最大元素,而不是第 kth 不同元素。

實作 KthLargest 類別:

  • KthLargest(int k, int[] nums) 用整數 k 和整數流 nums 初始化物件。
  • int add(int val) 將整數 val 附加到流中並傳回代表流中第 k 最大元素的元素。

範例1:

  • *輸入:
  ["KthLargest", "add", "add", "add", "add", "add"]
  [[3, [4, 5, 8, 2]], [3], [5], [10], [9], [4]]
  • 輸出: [null, 4, 5, 5, 8, 8]
  • 說明:
  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

範例2:

  • 輸入:
  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  • 輸出:
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約束:

  • 1 4
  • 0 4
  • -104 4
  • -104 4
  • 最多將進行 104 次呼叫來新增。
  • 保證搜尋第k個元素時數組中至少有k個元素。

解:

我們可以使用最小堆資料結構。以下是使用 PHP 實作 KthLargest 類別的逐步指南:

  1. 最小堆資料結構:我們將維護一個大小為 k 的最小堆(優先權隊列)。這個堆的根總是給我們第 k 個最大的元素。

  2. 初始化:在初始化期間,我們會將流的前 k 個元素加入最小堆。對於任何附加元素,我們將每個新元素與堆中的最小元素(根)進行比較。如果新元素更大,我們用這個新元素取代最小的元素,並調整堆以維持 k 大小。

  3. 添加元素:每次將元素添加到流中時,我們都會使用相同的過程來比較並可能替換堆中的元素。

這是實作 KthLargest 類別的 PHP 程式碼:703。流中第 K 最大元素

解釋:

  1. 類別建構子:

    • 初始化一個最小堆來追蹤前 k 個元素。
    • 使用 add 方法將初始 nums 陣列中的每個元素插入到堆中。
  2. 新增方法:

    • 如果堆包含的元素少於 k 個,則簡單地插入新值。
    • 如果堆已經包含 k 個元素,則將新值與堆中的最小值(根)進行比較:
      • 如果新值較大,則刪除最小值並插入新值。
    • 最後回傳堆中的最小值,即第k大的元素。

這種方法確保我們在每次插入流時有效地追蹤第 k 個最大元素,由於堆操作而保持插入操作的 O(log k) 複雜度。

聯絡連結

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以上是。流中的第 K 個最大元素的詳細內容。更多資訊請關注PHP中文網其他相關文章!

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