{ "data": { "question": { "questionId": "1378", "questionFrontendId": "1252", "categoryTitle": "Algorithms", "boundTopicId": 41394, "title": "Cells with Odd Values in a Matrix", "titleSlug": "cells-with-odd-values-in-a-matrix", "content": "

There is an m x n matrix that is initialized to all 0's. There is also a 2D array indices where each indices[i] = [ri, ci] represents a 0-indexed location to perform some increment operations on the matrix.

\n\n

For each location indices[i], do both of the following:

\n\n
    \n\t
  1. Increment all the cells on row ri.
    2. \n\t
  2. Increment all the cells on column ci.
    3. \n
\n\n

Given m, n, and indices, return the number of odd-valued cells in the matrix after applying the increment to all locations in indices.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: m = 2, n = 3, indices = [[0,1],[1,1]]\nOutput: 6\nExplanation: Initial matrix = [[0,0,0],[0,0,0]].\nAfter applying first increment it becomes [[1,2,1],[0,1,0]].\nThe final matrix is [[1,3,1],[1,3,1]], which contains 6 odd numbers.\n
\n\n

Example 2:

\n\"\"\n
\nInput: m = 2, n = 2, indices = [[1,1],[0,0]]\nOutput: 0\nExplanation: Final matrix = [[2,2],[2,2]]. There are no odd numbers in the final matrix.\n
\n\n

 

\n

Constraints:

\n\n\n\n

 

\n

Follow up: Could you solve this in O(n + m + indices.length) time with only O(n + m) extra space?

\n", "translatedTitle": "奇数值单元格的数目", "translatedContent": "

给你一个 m x n 的矩阵，最开始的时候，每个单元格中的值都是 0。

\n\n

另有一个二维索引数组 indices，indices[i] = [ri, ci] 指向矩阵中的某个位置，其中 ri 和 ci 分别表示指定的行和列（从 0 开始编号）。

\n\n

对 indices[i] 所指向的每个位置，应同时执行下述增量操作：

\n\n
    \n\t
  1. ri 行上的所有单元格，加 1 。
    2. \n\t
  2. ci 列上的所有单元格，加 1 。
    3. \n
\n\n

给你 m、n 和 indices 。请你在执行完所有 indices 指定的增量操作后，返回矩阵中 奇数值单元格 的数目。

\n\n

 

\n\n

示例 1：

\n\n

\"\"

\n\n
\n输入：m = 2, n = 3, indices = [[0,1],[1,1]]\n输出：6\n解释：最开始的矩阵是 [[0,0,0],[0,0,0]]。\n第一次增量操作后得到 [[1,2,1],[0,1,0]]。\n最后的矩阵是 [[1,3,1],[1,3,1]]，里面有 6 个奇数。\n
\n\n

示例 2：

\n\n

\"\"

\n\n
\n输入：m = 2, n = 2, indices = [[1,1],[0,0]]\n输出：0\n解释：最后的矩阵是 [[2,2],[2,2]]，里面没有奇数。\n
\n\n

 

\n\n

提示：

\n\n\n\n

 

\n\n

进阶：你可以设计一个时间复杂度为 O(n + m + indices.length) 且仅用 O(n + m) 额外空间的算法来解决此问题吗？

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