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。流中的第 K 个最大元素

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. Kth Largest Element in a Stream

703。流中第 K 个最大元素

难度:简单

主题:树、设计、二叉搜索树、堆(优先级队列)、二叉树、数据流

设计一个类来查找流中第 k 最大元素。请注意,它是排序顺序中第 kth 最大元素,而不是第 kth 不同元素。

实现 KthLargest 类:

  • KthLargest(int k, int[] nums) 用整数 k 和整数流 nums 初始化对象。
  • int add(int val) 将整数 val 附加到流中,并返回代表流中第 k 最大元素的元素。

示例1:

  • *输入:
  ["KthLargest", "add", "add", "add", "add", "add"]
  [[3, [4, 5, 8, 2]], [3], [5], [10], [9], [4]]
  • 输出: [null, 4, 5, 5, 8, 8]
  • 说明:
  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

示例2:

  • 输入:
  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  • 输出:
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约束:

  • 1 4
  • 0 4
  • -104 4
  • -104 4
  • 最多将进行 104 次调用来添加。
  • 保证搜索第k个元素时数组中至少有k个元素。

解决方案:

我们可以使用最小堆数据结构。以下是使用 PHP 实现 KthLargest 类的分步指南:

  1. 最小堆数据结构:我们将维护一个大小为 k 的最小堆(优先级队列)。这个堆的根总是给我们第 k 个最大的元素。

  2. 初始化:在初始化期间,我们会将流的前 k 个元素添加到最小堆中。对于任何附加元素,我们将每个新元素与堆中的最小元素(根)进行比较。如果新元素更大,我们用这个新元素替换最小的元素,并调整堆以维持 k 大小。

  3. 添加元素:每次将元素添加到流中时,我们都会使用相同的过程来比较并可能替换堆中的元素。

这是实现 KthLargest 类的 PHP 代码:703。流中第 K 个最大元素

解释:

  1. 类构造函数:

    • 初始化一个最小堆来跟踪前 k 个元素。
    • 使用 add 方法将初始 nums 数组中的每个元素插入到堆中。
  2. 添加方法:

    • 如果堆包含的元素少于 k 个,则简单地插入新值。
    • 如果堆已经包含 k 个元素,则将新值与堆中的最小值(根)进行比较:
      • 如果新值更大,则删除最小值并插入新值。
    • 最后返回堆中的最小值,即第k大的元素。

这种方法确保我们在每次插入流时有效地跟踪第 k 个最大元素,由于堆操作而保持插入操作的 O(log k) 复杂度。

联系链接

如果您发现本系列有帮助,请考虑在 GitHub 上给 存储库 一个星号或在您最喜欢的社交网络上分享该帖子?。您的支持对我来说意义重大!

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