703。流中的第 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的第 kth 最大元素。请注意,它是排序顺序中第 kth 最大元素,而不是第 k 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 追加到流中,并返回表示流中第 k第最大元素的元素。
示例1:
- *输入:
["kthlargest", "add", "add", "add", "add", "add"] [[3, [4, 5, 8, 2]], [3], [5], [10], [9], [4]]
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- 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
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示例2:
- 输入:
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登录后复制
- 输出:
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登录后复制
限制:
- 1 4
- 0 4
- -1044
- -1044
- 最多会调用104来添加。
- 保证搜索第k第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:
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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 大的元素。
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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。
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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:
-
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。
-
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
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