{ "data": { "question": { "questionId": "378", "questionFrontendId": "378", "categoryTitle": "Algorithms", "boundTopicId": 1723, "title": "Kth Smallest Element in a Sorted Matrix", "titleSlug": "kth-smallest-element-in-a-sorted-matrix", "content": "

Given an n x n matrix where each of the rows and columns is sorted in ascending order, return the kth smallest element in the matrix.

\n\n

Note that it is the kth smallest element in the sorted order, not the kth distinct element.

\n\n

You must find a solution with a memory complexity better than O(n2).

\n\n

 

\n

Example 1:

\n\n
\nInput: matrix = [[1,5,9],[10,11,13],[12,13,15]], k = 8\nOutput: 13\nExplanation: The elements in the matrix are [1,5,9,10,11,12,13,13,15], and the 8th smallest number is 13\n
\n\n

Example 2:

\n\n
\nInput: matrix = [[-5]], k = 1\nOutput: -5\n
\n\n

 

\n

Constraints:

\n\n\n\n

 

\n

Follow up:

\n\n\n", "translatedTitle": "有序矩阵中第 K 小的元素", "translatedContent": "

给你一个 n x n 矩阵 matrix ,其中每行和每列元素均按升序排序,找到矩阵中第 k 小的元素。
\n请注意,它是 排序后 的第 k 小元素,而不是第 k不同 的元素。

\n\n

你必须找到一个内存复杂度优于 O(n2) 的解决方案。

\n\n

 

\n\n

示例 1:

\n\n
\n输入:matrix = [[1,5,9],[10,11,13],[12,13,15]], k = 8\n输出:13\n解释:矩阵中的元素为 [1,5,9,10,11,12,13,13,15],第 8 小元素是 13\n
\n\n

示例 2:

\n\n
\n输入:matrix = [[-5]], k = 1\n输出:-5\n
\n\n

 

\n\n

提示:

\n\n\n\n

 

\n\n

进阶:

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