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{
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"title": "Cyclically Rotating a Grid",
"titleSlug": "cyclically-rotating-a-grid",
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"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>&nbsp;</p>\r\n<p><strong class=\"example\">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 class=\"example\">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>&nbsp;</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 &lt;= m, n &lt;= 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 &lt;= grid[i][j] &lt;=<sup> </sup>5000</code></li>\r\n\t<li><code>1 &lt;= k &lt;= 10<sup>9</sup></code></li>\r\n</ul>",
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"lang": "C++",
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"code": "class Solution {\r\npublic:\r\n vector<vector<int>> rotateGrid(vector<vector<int>>& grid, int k) {\r\n \r\n }\r\n};",
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"lang": "Java",
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"code": "class Solution {\r\n public int[][] rotateGrid(int[][] grid, int k) {\r\n \r\n }\r\n}",
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"lang": "Python",
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"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 \"\"\"",
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"lang": "Python3",
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"code": "class Solution:\r\n def rotateGrid(self, grid: List[List[int]], k: int) -> List[List[int]]:",
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"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}",
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"lang": "C#",
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"code": "public class Solution {\r\n public int[][] RotateGrid(int[][] grid, int k) {\r\n \r\n }\r\n}",
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"lang": "JavaScript",
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"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};",
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"lang": "TypeScript",
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"code": "function rotateGrid(grid: number[][], k: number): number[][] {\r\n\r\n};",
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"lang": "PHP",
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"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}",
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"lang": "Swift",
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"code": "class Solution {\r\n func rotateGrid(_ grid: [[Int]], _ k: Int) -> [[Int]] {\r\n \r\n }\r\n}",
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{
"lang": "Kotlin",
"langSlug": "kotlin",
"code": "class Solution {\r\n fun rotateGrid(grid: Array<IntArray>, k: Int): Array<IntArray> {\r\n \r\n }\r\n}",
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{
"lang": "Go",
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"code": "func rotateGrid(grid [][]int, k int) [][]int {\r\n \r\n}",
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"lang": "Ruby",
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"code": "# @param {Integer[][]} grid\r\n# @param {Integer} k\r\n# @return {Integer[][]}\r\ndef rotate_grid(grid, k)\r\n \r\nend",
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"lang": "Scala",
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"code": "object Solution {\r\n def rotateGrid(grid: Array[Array[Int]], k: Int): Array[Array[Int]] = {\r\n \r\n }\r\n}",
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"lang": "Rust",
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"code": "impl Solution {\r\n pub fn rotate_grid(grid: Vec<Vec<i32>>, k: i32) -> Vec<Vec<i32>> {\r\n \r\n }\r\n}",
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"lang": "Racket",
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"code": "(define/contract (rotate-grid grid k)\r\n (-> (listof (listof exact-integer?)) exact-integer? (listof (listof exact-integer?)))\r\n\r\n )",
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"hints": [
"First, you need to consider each layer separately as an array.",
"Just cycle this array and then re-assign it."
],
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