{ "data": { "question": { "questionId": "2043", "questionFrontendId": "1914", "boundTopicId": null, "title": "Cyclically Rotating a Grid", "titleSlug": "cyclically-rotating-a-grid", "content": "<p>You are given an <code>m x n</code> integer matrix <code>grid</code>, where <code>m</code> and <code>n</code> are both <strong>even</strong> integers, and an integer <code>k</code>.</p>\r\n\r\n<p>The matrix is composed of several layers, which is shown in the below image, where each color is its own layer:</p>\r\n\r\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/10/ringofgrid.png\" style=\"width: 231px; height: 258px;\" /></p>\r\n\r\n<p>A cyclic rotation of the matrix is done by cyclically rotating <strong>each layer</strong> in the matrix. To cyclically rotate a layer once, each element in the layer will take the place of the adjacent element in the <strong>counter-clockwise</strong> direction. An example rotation is shown below:</p>\r\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/22/explanation_grid.jpg\" style=\"width: 500px; height: 268px;\" />\r\n<p>Return <em>the matrix after applying </em><code>k</code> <em>cyclic rotations to it</em>.</p>\r\n\r\n<p> </p>\r\n<p><strong>Example 1:</strong></p>\r\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/19/rod2.png\" style=\"width: 421px; height: 191px;\" />\r\n<pre>\r\n<strong>Input:</strong> grid = [[40,10],[30,20]], k = 1\r\n<strong>Output:</strong> [[10,20],[40,30]]\r\n<strong>Explanation:</strong> The figures above represent the grid at every state.\r\n</pre>\r\n\r\n<p><strong>Example 2:</strong></p>\r\n<strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/10/ringofgrid5.png\" style=\"width: 231px; height: 262px;\" /></strong> <strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/10/ringofgrid6.png\" style=\"width: 231px; height: 262px;\" /></strong> <strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/10/ringofgrid7.png\" style=\"width: 231px; height: 262px;\" /></strong>\r\n\r\n<pre>\r\n<strong>Input:</strong> grid = [[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]], k = 2\r\n<strong>Output:</strong> [[3,4,8,12],[2,11,10,16],[1,7,6,15],[5,9,13,14]]\r\n<strong>Explanation:</strong> The figures above represent the grid at every state.\r\n</pre>\r\n\r\n<p> </p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>m == grid.length</code></li>\r\n\t<li><code>n == grid[i].length</code></li>\r\n\t<li><code>2 <= m, n <= 50</code></li>\r\n\t<li>Both <code>m</code> and <code>n</code> are <strong>even</strong> integers.</li>\r\n\t<li><code>1 <= grid[i][j] <=<sup> </sup>5000</code></li>\r\n\t<li><code>1 <= k <= 10<sup>9</sup></code></li>\r\n</ul>", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Medium", "likes": 167, "dislikes": 225, "isLiked": null, "similarQuestions": "[]", "exampleTestcases": "[[40,10],[30,20]]\n1\n[[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]]\n2", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Array", "slug": "array", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Matrix", "slug": "matrix", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Simulation", "slug": "simulation", "translatedName": null, "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\r\npublic:\r\n vector<vector<int>> rotateGrid(vector<vector<int>>& grid, int k) {\r\n \r\n }\r\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\r\n public int[][] rotateGrid(int[][] grid, int k) {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\r\n def rotateGrid(self, grid, k):\r\n \"\"\"\r\n :type grid: List[List[int]]\r\n :type k: int\r\n :rtype: List[List[int]]\r\n \"\"\"", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\r\n def rotateGrid(self, grid: List[List[int]], k: int) -> List[List[int]]:", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "/**\r\n * Return an array of arrays of size *returnSize.\r\n * The sizes of the arrays are returned as *returnColumnSizes array.\r\n * Note: Both returned array and *columnSizes array must be malloced, assume caller calls free().\r\n */\r\nint** rotateGrid(int** grid, int gridSize, int* gridColSize, int k, int* returnSize, int** returnColumnSizes){\r\n\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\r\n public int[][] RotateGrid(int[][] grid, int k) {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\r\n * @param {number[][]} grid\r\n * @param {number} k\r\n * @return {number[][]}\r\n */\r\nvar rotateGrid = function(grid, k) {\r\n \r\n};", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[][]} grid\r\n# @param {Integer} k\r\n# @return {Integer[][]}\r\ndef rotate_grid(grid, k)\r\n \r\nend", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\r\n func rotateGrid(_ grid: [[Int]], _ k: Int) -> [[Int]] {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func rotateGrid(grid [][]int, k int) [][]int {\r\n \r\n}", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\r\n def rotateGrid(grid: Array[Array[Int]], k: Int): Array[Array[Int]] = {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\r\n fun rotateGrid(grid: Array<IntArray>, k: Int): Array<IntArray> {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\r\n pub fn rotate_grid(grid: Vec<Vec<i32>>, k: i32) -> Vec<Vec<i32>> {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\r\n\r\n /**\r\n * @param Integer[][] $grid\r\n * @param Integer $k\r\n * @return Integer[][]\r\n */\r\n function rotateGrid($grid, $k) {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function rotateGrid(grid: number[][], k: number): number[][] {\r\n\r\n};", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (rotate-grid grid k)\r\n (-> (listof (listof exact-integer?)) exact-integer? (listof (listof exact-integer?)))\r\n\r\n )", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"9K\", \"totalSubmission\": \"19.3K\", \"totalAcceptedRaw\": 9004, \"totalSubmissionRaw\": 19314, \"acRate\": \"46.6%\"}", "hints": [ "First, you need to consider each layer separately as an array.", "Just cycle this array and then re-assign it." ], "solution": null, "status": null, "sampleTestCase": "[[40,10],[30,20]]\n1", "metaData": "{\n \"name\": \"rotateGrid\",\n \"params\": [\n {\n \"name\": \"grid\",\n \"type\": \"integer[][]\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"k\"\n }\n ],\n \"return\": {\n \"type\": \"integer[][]\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "enableTestMode": false, "enableDebugger": true, "envInfo": "{\"cpp\": [\"C++\", \"<p>Compiled with <code> clang 11 </code> using the latest C++ 17 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level two optimization (<code>-O2</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\"], \"java\": [\"Java\", \"<p><code> OpenJDK 17 </code>. Java 8 features such as lambda expressions and stream API can be used. </p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n<p>Includes <code>Pair</code> class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.</p>\"], \"python\": [\"Python\", \"<p><code>Python 2.7.12</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/2/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/2/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/2/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\\r\\n\\r\\n<p>Note that Python 2.7 <a href=\\\"https://www.python.org/dev/peps/pep-0373/\\\" target=\\\"_blank\\\">will not be maintained past 2020</a>. For the latest Python, please choose Python3 instead.</p>\"], \"c\": [\"C\", \"<p>Compiled with <code>gcc 8.2</code> using the gnu99 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level one optimization (<code>-O1</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n\\r\\n<p>For hash table operations, you may use <a href=\\\"https://troydhanson.github.io/uthash/\\\" target=\\\"_blank\\\">uthash</a>. \\\"uthash.h\\\" is included by default. Below are some examples:</p>\\r\\n\\r\\n<p><b>1. Adding an item to a hash.</b>\\r\\n<pre>\\r\\nstruct hash_entry {\\r\\n int id; /* we'll use this field as the key */\\r\\n char name[10];\\r\\n UT_hash_handle hh; /* makes this structure hashable */\\r\\n};\\r\\n\\r\\nstruct hash_entry *users = NULL;\\r\\n\\r\\nvoid add_user(struct hash_entry *s) {\\r\\n HASH_ADD_INT(users, id, s);\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>2. Looking up an item in a hash:</b>\\r\\n<pre>\\r\\nstruct hash_entry *find_user(int user_id) {\\r\\n struct hash_entry *s;\\r\\n HASH_FIND_INT(users, &user_id, s);\\r\\n return s;\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>3. Deleting an item in a hash:</b>\\r\\n<pre>\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n HASH_DEL(users, user); \\r\\n}\\r\\n</pre>\\r\\n</p>\"], \"csharp\": [\"C#\", \"<p><a href=\\\"https://docs.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-9\\\" target=\\\"_blank\\\">C# 10 with .NET 6 runtime</a></p>\\r\\n\\r\\n<p>Your code is compiled with debug flag enabled (<code>/debug</code>).</p>\"], \"javascript\": [\"JavaScript\", \"<p><code>Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES6 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\\r\\n\\r\\n<p>For Priority Queue / Queue data structures, you may use <a href=\\\"https://github.com/datastructures-js/priority-queue\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and <a href=\\\"https://github.com/datastructures-js/queue\\\" target=\\\"_blank\\\">datastructures-js/queue</a>.</p>\"], \"ruby\": [\"Ruby\", \"<p><code>Ruby 3.1</code></p>\\r\\n\\r\\n<p>Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms</p>\"], \"swift\": [\"Swift\", \"<p><code>Swift 5.5.2</code>.</p>\"], \"golang\": [\"Go\", \"<p><code>Go 1.17.6</code>.</p>\\r\\n\\r\\n<p>Support <a href=\\\"https://godoc.org/github.com/emirpasic/gods\\\" target=\\\"_blank\\\">https://godoc.org/github.com/emirpasic/gods</a> library.</p>\"], \"python3\": [\"Python3\", \"<p><code>Python 3.10</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <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>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\"], \"scala\": [\"Scala\", \"<p><code>Scala 2.13.7</code>.</p>\"], \"kotlin\": [\"Kotlin\", \"<p><code>Kotlin 1.3.10</code>.</p>\"], \"rust\": [\"Rust\", \"<p><code>Rust 1.58.1</code></p>\\r\\n\\r\\n<p>Supports <a href=\\\"https://crates.io/crates/rand\\\" target=\\\"_blank\\\">rand </a> v0.6\\u00a0from crates.io</p>\"], \"php\": [\"PHP\", \"<p><code>PHP 8.1</code>.</p>\\r\\n<p>With bcmath module</p>\"], \"typescript\": [\"Typescript\", \"<p><code>TypeScript 4.5.4, Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES2020 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\"], \"racket\": [\"Racket\", \"<p>Run with <code>Racket 8.3</code>.</p>\"]}", "libraryUrl": null, "adminUrl": null, "challengeQuestion": null, "__typename": "QuestionNode" } } }