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"questionId": "2103",
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"categoryTitle": "Algorithms",
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"title": "Find All Groups of Farmland",
"titleSlug": "find-all-groups-of-farmland",
"content": "<p>You are given a <strong>0-indexed</strong> <code>m x n</code> binary matrix <code>land</code> where a <code>0</code> represents a hectare of forested land and a <code>1</code> represents a hectare of farmland.</p>\n\n<p>To keep the land organized, there are designated rectangular areas of hectares that consist <strong>entirely</strong> of farmland. These rectangular areas are called <strong>groups</strong>. No two groups are adjacent, meaning farmland in one group is <strong>not</strong> four-directionally adjacent to another farmland in a different group.</p>\n\n<p><code>land</code> can be represented by a coordinate system where the top left corner of <code>land</code> is <code>(0, 0)</code> and the bottom right corner of <code>land</code> is <code>(m-1, n-1)</code>. Find the coordinates of the top left and bottom right corner of each <strong>group</strong> of farmland. A <strong>group</strong> of farmland with a top left corner at <code>(r<sub>1</sub>, c<sub>1</sub>)</code> and a bottom right corner at <code>(r<sub>2</sub>, c<sub>2</sub>)</code> is represented by the 4-length array <code>[r<sub>1</sub>, c<sub>1</sub>, r<sub>2</sub>, c<sub>2</sub>].</code></p>\n\n<p>Return <em>a 2D array containing the 4-length arrays described above for each <strong>group</strong> of farmland in </em><code>land</code><em>. If there are no groups of farmland, return an empty array. You may return the answer in <strong>any order</strong></em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/27/screenshot-2021-07-27-at-12-23-15-copy-of-diagram-drawio-diagrams-net.png\" style=\"width: 300px; height: 300px;\" />\n<pre>\n<strong>Input:</strong> land = [[1,0,0],[0,1,1],[0,1,1]]\n<strong>Output:</strong> [[0,0,0,0],[1,1,2,2]]\n<strong>Explanation:</strong>\nThe first group has a top left corner at land[0][0] and a bottom right corner at land[0][0].\nThe second group has a top left corner at land[1][1] and a bottom right corner at land[2][2].\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/27/screenshot-2021-07-27-at-12-30-26-copy-of-diagram-drawio-diagrams-net.png\" style=\"width: 200px; height: 200px;\" />\n<pre>\n<strong>Input:</strong> land = [[1,1],[1,1]]\n<strong>Output:</strong> [[0,0,1,1]]\n<strong>Explanation:</strong>\nThe first group has a top left corner at land[0][0] and a bottom right corner at land[1][1].\n</pre>\n\n<p><strong>Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/27/screenshot-2021-07-27-at-12-32-24-copy-of-diagram-drawio-diagrams-net.png\" style=\"width: 100px; height: 100px;\" />\n<pre>\n<strong>Input:</strong> land = [[0]]\n<strong>Output:</strong> []\n<strong>Explanation:</strong>\nThere are no groups of farmland.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == land.length</code></li>\n\t<li><code>n == land[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 300</code></li>\n\t<li><code>land</code> consists of only <code>0</code>&#39;s and <code>1</code>&#39;s.</li>\n\t<li>Groups of farmland are <strong>rectangular</strong> in shape.</li>\n</ul>\n",
"translatedTitle": "找到所有的农场组",
"translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始,大小为&nbsp;<code>m x n</code>&nbsp;的二进制矩阵&nbsp;<code>land</code>&nbsp;,其中 <code>0</code>&nbsp;表示一单位的森林土地,<code>1</code>&nbsp;表示一单位的农场土地。</p>\n\n<p>为了让农场保持有序,农场土地之间以矩形的 <strong>农场组</strong> 的形式存在。每一个农场组都 <strong>仅</strong>&nbsp;包含农场土地。且题目保证不会有两个农场组相邻,也就是说一个农场组中的任何一块土地都 <strong>不会</strong>&nbsp;与另一个农场组的任何一块土地在四个方向上相邻。</p>\n\n<p><code>land</code>&nbsp;可以用坐标系统表示,其中 <code>land</code>&nbsp;左上角坐标为&nbsp;<code>(0, 0)</code>&nbsp;,右下角坐标为&nbsp;<code>(m-1, n-1)</code>&nbsp;。请你找到所有 <b>农场组</b>&nbsp;最左上角和最右下角的坐标。一个左上角坐标为&nbsp;<code>(r<sub>1</sub>, c<sub>1</sub>)</code>&nbsp;且右下角坐标为&nbsp;<code>(r<sub>2</sub>, c<sub>2</sub>)</code>&nbsp;的 <strong>农场组</strong> 用长度为 4 的数组&nbsp;<code>[r<sub>1</sub>, c<sub>1</sub>, r<sub>2</sub>, c<sub>2</sub>]</code>&nbsp;表示。</p>\n\n<p>请你返回一个二维数组,它包含若干个长度为 4 的子数组,每个子数组表示 <code>land</code>&nbsp;中的一个 <strong>农场组</strong>&nbsp;。如果没有任何农场组,请你返回一个空数组。可以以 <strong>任意顺序</strong>&nbsp;返回所有农场组。</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/27/screenshot-2021-07-27-at-12-23-15-copy-of-diagram-drawio-diagrams-net.png\" style=\"width: 300px; height: 300px;\"></p>\n\n<pre><b>输入:</b>land = [[1,0,0],[0,1,1],[0,1,1]]\n<b>输出:</b>[[0,0,0,0],[1,1,2,2]]\n<strong>解释:</strong>\n第一个农场组的左上角为 land[0][0] ,右下角为 land[0][0] 。\n第二个农场组的左上角为 land[1][1] ,右下角为 land[2][2] 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/27/screenshot-2021-07-27-at-12-30-26-copy-of-diagram-drawio-diagrams-net.png\" style=\"width: 200px; height: 200px;\"></p>\n\n<pre><b>输入:</b>land = [[1,1],[1,1]]\n<b>输出:</b>[[0,0,1,1]]\n<strong>解释:</strong>\n第一个农场组左上角为 land[0][0] ,右下角为 land[1][1] 。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/07/27/screenshot-2021-07-27-at-12-32-24-copy-of-diagram-drawio-diagrams-net.png\" style=\"width: 100px; height: 100px;\"></p>\n\n<pre><b>输入:</b>land = [[0]]\n<b>输出:</b>[]\n<b>解释:</b>\n没有任何农场组。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>m == land.length</code></li>\n\t<li><code>n == land[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 300</code></li>\n\t<li><code>land</code>&nbsp;只包含&nbsp;<code>0</code>&nbsp;和&nbsp;<code>1</code>&nbsp;。</li>\n\t<li>农场组都是 <strong>矩形</strong>&nbsp;的形状。</li>\n</ul>\n",
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"Since every group of farmland is rectangular, the top left corner of each group will have the smallest x-coordinate and y-coordinate of any farmland in the group.",
"Similarly, the bootm right corner of each group will have the largest x-coordinate and y-coordinate of any farmland in the group.",
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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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