{ "data": { "question": { "questionId": "2889", "questionFrontendId": "2768", "categoryTitle": "Algorithms", "boundTopicId": 2334179, "title": "Number of Black Blocks", "titleSlug": "number-of-black-blocks", "content": "

You are given two integers m and n representing the dimensions of a 0-indexed m x n grid.

\n\n

You are also given a 0-indexed 2D integer matrix coordinates, where coordinates[i] = [x, y] indicates that the cell with coordinates [x, y] is colored black. All cells in the grid that do not appear in coordinates are white.

\n\n

A block is defined as a 2 x 2 submatrix of the grid. More formally, a block with cell [x, y] as its top-left corner where 0 <= x < m - 1 and 0 <= y < n - 1 contains the coordinates [x, y], [x + 1, y], [x, y + 1], and [x + 1, y + 1].

\n\n

Return a 0-indexed integer array arr of size 5 such that arr[i] is the number of blocks that contains exactly i black cells.

\n\n

 

\n

Example 1:

\n\n
\nInput: m = 3, n = 3, coordinates = [[0,0]]\nOutput: [3,1,0,0,0]\nExplanation: The grid looks like this:\n\"\"\nThere is only 1 block with one black cell, and it is the block starting with cell [0,0].\nThe other 3 blocks start with cells [0,1], [1,0] and [1,1]. They all have zero black cells. \nThus, we return [3,1,0,0,0]. \n
\n\n

Example 2:

\n\n
\nInput: m = 3, n = 3, coordinates = [[0,0],[1,1],[0,2]]\nOutput: [0,2,2,0,0]\nExplanation: The grid looks like this:\n\"\"\nThere are 2 blocks with two black cells (the ones starting with cell coordinates [0,0] and [0,1]).\nThe other 2 blocks have starting cell coordinates of [1,0] and [1,1]. They both have 1 black cell.\nTherefore, we return [0,2,2,0,0].\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "黑格子的数目", "translatedContent": "

给你两个整数 m 和 n ，表示一个下标从 0 开始的 m x n 的网格图。

\n\n

给你一个下标从 0 开始的二维整数矩阵 coordinates ，其中 coordinates[i] = [x, y] 表示坐标为 [x, y] 的格子是 黑色的 ，所有没出现在 coordinates 中的格子都是 白色的。

\n\n

一个块定义为网格图中 2 x 2 的一个子矩阵。更正式的，对于左上角格子为 [x, y] 的块，其中 0 <= x < m - 1 且 0 <= y < n - 1 ，包含坐标为 [x, y] ，[x + 1, y] ，[x, y + 1] 和 [x + 1, y + 1] 的格子。

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请你返回一个下标从 0 开始长度为 5 的整数数组 arr ，arr[i] 表示恰好包含 i 个 黑色 格子的块的数目。

\n\n

 

\n\n

示例 1：

\n\n
\n输入：m = 3, n = 3, coordinates = [[0,0]]\n输出：[3,1,0,0,0]\n解释：网格图如下：\n\"\"\n只有 1 个块有一个黑色格子，这个块是左上角为 [0,0] 的块。\n其他 3 个左上角分别为 [0,1] ，[1,0] 和 [1,1] 的块都有 0 个黑格子。\n所以我们返回 [3,1,0,0,0] 。\n
\n\n

示例 2：

\n\n
\n输入：m = 3, n = 3, coordinates = [[0,0],[1,1],[0,2]]\n输出：[0,2,2,0,0]\n解释：网格图如下：\n\"\"\n有 2 个块有 2 个黑色格子（左上角格子分别为 [0,0] 和 [0,1]）。\n左上角为 [1,0] 和 [1,1] 的两个块，都有 1 个黑格子。\n所以我们返回 [0,2,2,0,0] 。\n
\n\n

 

\n\n

提示：

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