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"title": "Number of Black Blocks",
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"content": "<p>You are given two integers <code>m</code> and <code>n</code> representing the dimensions of a&nbsp;<strong>0-indexed</strong>&nbsp;<code>m x n</code> grid.</p>\n\n<p>You are also given a <strong>0-indexed</strong> 2D integer matrix <code>coordinates</code>, where <code>coordinates[i] = [x, y]</code> indicates that the cell with coordinates <code>[x, y]</code> is colored <strong>black</strong>. All cells in the grid that do not appear in <code>coordinates</code> are <strong>white</strong>.</p>\n\n<p>A block is defined as a <code>2 x 2</code> submatrix of the grid. More formally, a block with cell <code>[x, y]</code> as its top-left corner where <code>0 &lt;= x &lt; m - 1</code> and <code>0 &lt;= y &lt; n - 1</code> contains the coordinates <code>[x, y]</code>, <code>[x + 1, y]</code>, <code>[x, y + 1]</code>, and <code>[x + 1, y + 1]</code>.</p>\n\n<p>Return <em>a <strong>0-indexed</strong> integer array</em> <code>arr</code> <em>of size</em> <code>5</code> <em>such that</em> <code>arr[i]</code> <em>is the number of blocks that contains exactly</em> <code>i</code> <em><strong>black</strong> cells</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> m = 3, n = 3, coordinates = [[0,0]]\n<strong>Output:</strong> [3,1,0,0,0]\n<strong>Explanation:</strong> The grid looks like this:\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/06/18/screen-shot-2023-06-18-at-44656-am.png\" style=\"width: 150px; height: 128px;\" />\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</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> m = 3, n = 3, coordinates = [[0,0],[1,1],[0,2]]\n<strong>Output:</strong> [0,2,2,0,0]\n<strong>Explanation:</strong> The grid looks like this:\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/06/18/screen-shot-2023-06-18-at-45018-am.png\" style=\"width: 150px; height: 128px;\" />\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</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= m &lt;= 10<sup>5</sup></code></li>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= coordinates.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>coordinates[i].length == 2</code></li>\n\t<li><code>0 &lt;= coordinates[i][0] &lt; m</code></li>\n\t<li><code>0 &lt;= coordinates[i][1] &lt; n</code></li>\n\t<li>It is guaranteed that <code>coordinates</code> contains pairwise distinct coordinates.</li>\n</ul>\n",
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"code": "class Solution {\npublic:\n vector<long long> countBlackBlocks(int m, int n, vector<vector<int>>& coordinates) {\n \n }\n};",
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"code": "class Solution {\n public long[] countBlackBlocks(int m, int n, int[][] coordinates) {\n \n }\n}",
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"code": "class Solution(object):\n def countBlackBlocks(self, m, n, coordinates):\n \"\"\"\n :type m: int\n :type n: int\n :type coordinates: List[List[int]]\n :rtype: List[int]\n \"\"\"\n ",
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"code": "/**\n * Note: The returned array must be malloced, assume caller calls free().\n */\nlong long* countBlackBlocks(int m, int n, int** coordinates, int coordinatesSize, int* coordinatesColSize, int* returnSize){\n\n}",
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"code": "public class Solution {\n public long[] CountBlackBlocks(int m, int n, int[][] coordinates) {\n \n }\n}",
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"code": "/**\n * @param {number} m\n * @param {number} n\n * @param {number[][]} coordinates\n * @return {number[]}\n */\nvar countBlackBlocks = function(m, n, coordinates) {\n \n};",
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"code": "class Solution {\n\n /**\n * @param Integer $m\n * @param Integer $n\n * @param Integer[][] $coordinates\n * @return Integer[]\n */\n function countBlackBlocks($m, $n, $coordinates) {\n \n }\n}",
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"lang": "Kotlin",
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"code": "class Solution {\n fun countBlackBlocks(m: Int, n: Int, coordinates: Array<IntArray>): LongArray {\n \n }\n}",
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"lang": "Dart",
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"code": "class Solution {\n List<int> countBlackBlocks(int m, int n, List<List<int>> coordinates) {\n\n }\n}",
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"lang": "Go",
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"code": "# @param {Integer} m\n# @param {Integer} n\n# @param {Integer[][]} coordinates\n# @return {Integer[]}\ndef count_black_blocks(m, n, coordinates)\n \nend",
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"code": "impl Solution {\n pub fn count_black_blocks(m: i32, n: i32, coordinates: Vec<Vec<i32>>) -> Vec<i64> {\n \n }\n}",
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"lang": "Racket",
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"code": "(define/contract (count-black-blocks m n coordinates)\n (-> exact-integer? exact-integer? (listof (listof exact-integer?)) (listof exact-integer?))\n\n )",
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"lang": "Erlang",
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"code": "-spec count_black_blocks(M :: integer(), N :: integer(), Coordinates :: [[integer()]]) -> [integer()].\ncount_black_blocks(M, N, Coordinates) ->\n .",
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"code": "defmodule Solution do\n @spec count_black_blocks(m :: integer, n :: integer, coordinates :: [[integer]]) :: [integer]\n def count_black_blocks(m, n, coordinates) do\n\n end\nend",
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"hints": [
"The number of blocks is too much but the number of black cells is less than that.",
"It means the number of blocks with at least one black cell is O(|coordinates|). lets just hold them.",
"Iterate through the coordinates and update the block counts accordingly. For each coordinate, determine which block(s) it belongs to and increment the count of black cells for those block(s).",
"After processing all the coordinates, count the number of blocks with different numbers of black cells. You can use another data structure to keep track of the counts of blocks with 0 black cells, 1 black cell, and so on."
],
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