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            "questionId": "1043",
            "questionFrontendId": "1001",
            "categoryTitle": "Algorithms",
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            "title": "Grid Illumination",
            "titleSlug": "grid-illumination",
            "content": "<p>There is a 2D <code>grid</code> of size <code>n x n</code> where each cell of this grid has a lamp that is initially <strong>turned off</strong>.</p>\n\n<p>You are given a 2D array of lamp positions <code>lamps</code>, where <code>lamps[i] = [row<sub>i</sub>, col<sub>i</sub>]</code> indicates that the lamp at <code>grid[row<sub>i</sub>][col<sub>i</sub>]</code> is <strong>turned on</strong>. Even if the same lamp is listed more than once, it is turned on.</p>\n\n<p>When a lamp is turned on, it <strong>illuminates its cell</strong> and <strong>all other cells</strong> in the same <strong>row, column, or diagonal</strong>.</p>\n\n<p>You are also given another 2D array <code>queries</code>, where <code>queries[j] = [row<sub>j</sub>, col<sub>j</sub>]</code>. For the <code>j<sup>th</sup></code> query, determine whether <code>grid[row<sub>j</sub>][col<sub>j</sub>]</code> is illuminated or not. After answering the <code>j<sup>th</sup></code> query, <strong>turn off</strong> the lamp at <code>grid[row<sub>j</sub>][col<sub>j</sub>]</code> and its <strong>8 adjacent lamps</strong> if they exist. A lamp is adjacent if its cell shares either a side or corner with <code>grid[row<sub>j</sub>][col<sub>j</sub>]</code>.</p>\n\n<p>Return <em>an array of integers </em><code>ans</code><em>,</em><em> where </em><code>ans[j]</code><em> should be </em><code>1</code><em> if the cell in the </em><code>j<sup>th</sup></code><em> query was illuminated, or </em><code>0</code><em> if the lamp was not.</em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/19/illu_1.jpg\" style=\"width: 750px; height: 209px;\" />\n<pre>\n<strong>Input:</strong> n = 5, lamps = [[0,0],[4,4]], queries = [[1,1],[1,0]]\n<strong>Output:</strong> [1,0]\n<strong>Explanation:</strong> We have the initial grid with all lamps turned off. In the above picture we see the grid after turning on the lamp at grid[0][0] then turning on the lamp at grid[4][4].\nThe 0<sup>th</sup>&nbsp;query asks if the lamp at grid[1][1] is illuminated or not (the blue square). It is illuminated, so set ans[0] = 1. Then, we turn off all lamps in the red square.\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/19/illu_step1.jpg\" style=\"width: 500px; height: 218px;\" />\nThe 1<sup>st</sup>&nbsp;query asks if the lamp at grid[1][0] is illuminated or not (the blue square). It is not illuminated, so set ans[1] = 0. Then, we turn off all lamps in the red rectangle.\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/19/illu_step2.jpg\" style=\"width: 500px; height: 219px;\" />\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5, lamps = [[0,0],[4,4]], queries = [[1,1],[1,1]]\n<strong>Output:</strong> [1,1]\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5, lamps = [[0,0],[0,4]], queries = [[0,4],[0,1],[1,4]]\n<strong>Output:</strong> [1,1,0]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>9</sup></code></li>\n\t<li><code>0 &lt;= lamps.length &lt;= 20000</code></li>\n\t<li><code>0 &lt;= queries.length &lt;= 20000</code></li>\n\t<li><code>lamps[i].length == 2</code></li>\n\t<li><code>0 &lt;= row<sub>i</sub>, col<sub>i</sub> &lt; n</code></li>\n\t<li><code>queries[j].length == 2</code></li>\n\t<li><code>0 &lt;= row<sub>j</sub>, col<sub>j</sub> &lt; n</code></li>\n</ul>\n",
            "translatedTitle": "网格照明",
            "translatedContent": "<p>在大小为 <code>n x n</code> 的网格 <code>grid</code> 上，每个单元格都有一盏灯，最初灯都处于 <strong>关闭</strong> 状态。</p>\n\n<p>给你一个由灯的位置组成的二维数组&nbsp;<code>lamps</code> ，其中 <code>lamps[i] = [row<sub>i</sub>, col<sub>i</sub>]</code> 表示 <strong>打开</strong> 位于 <code>grid[row<sub>i</sub>][col<sub>i</sub>]</code> 的灯。即便同一盏灯可能在 <code>lamps</code> 中多次列出，不会影响这盏灯处于 <strong>打开</strong> 状态。</p>\n\n<p>当一盏灯处于打开状态，它将会照亮 <strong>自身所在单元格</strong> 以及同一 <strong>行</strong> 、同一 <strong>列</strong> 和两条 <strong>对角线</strong> 上的 <strong>所有其他单元格</strong> 。</p>\n\n<p>另给你一个二维数组 <code>queries</code> ，其中 <code>queries[j] = [row<sub>j</sub>, col<sub>j</sub>]</code> 。对于第 <code>j</code> 个查询，如果单元格 <code>[row<sub>j</sub>, col<sub>j</sub>]</code> 是被照亮的，则查询结果为 <code>1</code> ，否则为 <code>0</code> 。在第 <code>j</code> 次查询之后 [按照查询的顺序] ，<strong>关闭</strong> 位于单元格 <code>grid[row<sub>j</sub>][col<sub>j</sub>]</code> 上及相邻 8 个方向上（与单元格 <code>grid[row<sub>i</sub>][col<sub>i</sub>]</code> 共享角或边）的任何灯。</p>\n\n<p>返回一个整数数组 <code>ans</code> 作为答案， <code>ans[j]</code> 应等于第 <code>j</code> 次查询&nbsp;<code>queries[j]</code>&nbsp;的结果，<code>1</code> 表示照亮，<code>0</code> 表示未照亮。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/19/illu_1.jpg\" style=\"height: 209px; width: 750px;\" />\n<pre>\n<strong>输入：</strong>n = 5, lamps = [[0,0],[4,4]], queries = [[1,1],[1,0]]\n<strong>输出：</strong>[1,0]\n<strong>解释：</strong>最初所有灯都是关闭的。在执行查询之前，打开位于 [0, 0] 和 [4, 4] 的灯。第 0&nbsp;次查询检查 grid[1][1] 是否被照亮（蓝色方框）。该单元格被照亮，所以 ans[0] = 1 。然后，关闭红色方框中的所有灯。\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/19/illu_step1.jpg\" style=\"height: 218px; width: 500px;\" />\n第 1&nbsp;次查询检查 grid[1][0] 是否被照亮（蓝色方框）。该单元格没有被照亮，所以 ans[1] = 0 。然后，关闭红色矩形中的所有灯。\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/19/illu_step2.jpg\" style=\"height: 219px; width: 500px;\" />\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 5, lamps = [[0,0],[4,4]], queries = [[1,1],[1,1]]\n<strong>输出：</strong>[1,1]\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 5, lamps = [[0,0],[0,4]], queries = [[0,4],[0,1],[1,4]]\n<strong>输出：</strong>[1,1,0]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>9</sup></code></li>\n\t<li><code>0 &lt;= lamps.length &lt;= 20000</code></li>\n\t<li><code>0 &lt;= queries.length &lt;= 20000</code></li>\n\t<li><code>lamps[i].length == 2</code></li>\n\t<li><code>0 &lt;= row<sub>i</sub>, col<sub>i</sub> &lt; n</code></li>\n\t<li><code>queries[j].length == 2</code></li>\n\t<li><code>0 &lt;= row<sub>j</sub>, col<sub>j</sub> &lt; n</code></li>\n</ul>\n",
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href=\\\"https:\\/\\/github.com\\/datastructures-js\\/queue\\\" target=\\\"_blank\\\"> datastructures-js\\/queue<\\/a>\\u3002<\\/p>\"],\"ruby\":[\"Ruby\",\"<p>\\u4f7f\\u7528<code>Ruby 3.1<\\/code>\\u6267\\u884c<\\/p>\\r\\n\\r\\n<p>\\u4e00\\u4e9b\\u5e38\\u7528\\u7684\\u6570\\u636e\\u7ed3\\u6784\\u5df2\\u5728 Algorithms \\u6a21\\u5757\\u4e2d\\u63d0\\u4f9b\\uff1ahttps:\\/\\/www.rubydoc.info\\/github\\/kanwei\\/algorithms\\/Algorithms<\\/p>\"],\"swift\":[\"Swift\",\"<p>\\u7248\\u672c\\uff1a<code>Swift 5.5.2<\\/code><\\/p>\\r\\n\\r\\n<p>\\u6211\\u4eec\\u901a\\u5e38\\u4fdd\\u8bc1\\u66f4\\u65b0\\u5230 <a href=\\\"https:\\/\\/swift.org\\/download\\/\\\" target=\\\"_blank\\\">Apple\\u653e\\u51fa\\u7684\\u6700\\u65b0\\u7248Swift<\\/a>\\u3002\\u5982\\u679c\\u60a8\\u53d1\\u73b0Swift\\u4e0d\\u662f\\u6700\\u65b0\\u7248\\u7684\\uff0c\\u8bf7\\u8054\\u7cfb\\u6211\\u4eec\\uff01\\u6211\\u4eec\\u5c06\\u5c3d\\u5feb\\u66f4\\u65b0\\u3002<\\/p>\"],\"golang\":[\"Go\",\"<p>\\u7248\\u672c\\uff1a<code>Go 1.17<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 <a href=\\\"https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods\\\" target=\\\"_blank\\\">https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods<\\/a> \\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\"<p>\\u7248\\u672c\\uff1a<code>Python 3.10<\\/code><\\/p>\\r\\n\\r\\n<p>\\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982<a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/array.html\\\" target=\\\"_blank\\\">array<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/bisect.html\\\" target=\\\"_blank\\\">bisect<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/collections.html\\\" target=\\\"_blank\\\">collections<\\/a>\\u3002 \\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n<p>\\u5982\\u9700\\u4f7f\\u7528 Map\\/TreeMap \\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u60a8\\u53ef\\u4f7f\\u7528 <a href=\\\"http:\\/\\/www.grantjenks.com\\/docs\\/sortedcontainers\\/\\\" target=\\\"_blank\\\">sortedcontainers<\\/a> \\u5e93\\u3002<\\/p>\"],\"scala\":[\"Scala\",\"<p>\\u7248\\u672c\\uff1a<code>Scala 2.13<\\/code><\\/p>\"],\"kotlin\":[\"Kotlin\",\"<p>\\u7248\\u672c\\uff1a<code>Kotlin 1.3.10<\\/code><\\/p>\"],\"rust\":[\"Rust\",\"<p>\\u7248\\u672c\\uff1a<code>rust 1.58.1<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 crates.io \\u7684 <a href=\\\"https:\\/\\/crates.io\\/crates\\/rand\\\" target=\\\"_blank\\\">rand<\\/a><\\/p>\"],\"php\":[\"PHP\",\"<p><code>PHP 8.1<\\/code>.<\\/p>\\r\\n\\r\\n<p>With bcmath module.<\\/p>\"],\"typescript\":[\"TypeScript\",\"<p>TypeScript 4.5.4<\\/p>\\r\\n\\r\\n<p>Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2020<\\/p>\"],\"racket\":[\"Racket\",\"<p><a href=\\\"https:\\/\\/docs.racket-lang.org\\/guide\\/performance.html#%28tech._c%29\\\" target=\\\"_blank\\\">Racket CS<\\/a> v8.3<\\/p>\\r\\n\\r\\n<p>\\u4f7f\\u7528 #lang racket<\\/p>\\r\\n\\r\\n<p>\\u5df2\\u9884\\u5148 (require data\\/gvector data\\/queue data\\/order data\\/heap). \\u82e5\\u9700\\u4f7f\\u7528\\u5176\\u5b83\\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u53ef\\u81ea\\u884c require\\u3002<\\/p>\"],\"erlang\":[\"Erlang\",\"Erlang\\/OTP 24.2\"],\"elixir\":[\"Elixir\",\"Elixir 1.13.0 with Erlang\\/OTP 24.2\"]}",
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