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2022-03-27

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cyclically-rotating-a-grid.json

{
    "data": {
        "question": {
            "questionId": "2043",
            "questionFrontendId": "1914",
            "categoryTitle": "Algorithms",
            "boundTopicId": 843782,
            "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>&nbsp;</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>&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>",
            "translatedTitle": "循环轮转矩阵",
            "translatedContent": "<p>给你一个大小为 <code>m x n</code> 的整数矩阵 <code>grid</code> ，其中 <code>m</code> 和 <code>n</code> 都是 <strong>偶数</strong> ；另给你一个整数 <code>k</code> 。</p>\n\n<p>矩阵由若干层组成，如下图所示，每种颜色代表一层：</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/10/ringofgrid.png\" style=\"width: 231px; height: 258px;\"></p>\n\n<p>矩阵的循环轮转是通过分别循环轮转矩阵中的每一层完成的。在对某一层进行一次循环旋转操作时，层中的每一个元素将会取代其 <strong>逆时针 </strong>方向的相邻元素。轮转示例如下：</p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/22/explanation_grid.jpg\" style=\"width: 500px; height: 268px;\">\n<p>返回执行 <code>k</code> 次循环轮转操作后的矩阵。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/06/19/rod2.png\" style=\"width: 421px; height: 191px;\">\n<pre><strong>输入：</strong>grid = [[40,10],[30,20]], k = 1\n<strong>输出：</strong>[[10,20],[40,30]]\n<strong>解释：</strong>上图展示了矩阵在执行循环轮转操作时每一步的状态。</pre>\n\n<p><strong>示例 2：</strong></p>\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>\n\n<pre><strong>输入：</strong>grid = [[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]], k = 2\n<strong>输出：</strong>[[3,4,8,12],[2,11,10,16],[1,7,6,15],[5,9,13,14]]\n<strong>解释：</strong>上图展示了矩阵在执行循环轮转操作时每一步的状态。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>2 &lt;= m, n &lt;= 50</code></li>\n\t<li><code>m</code> 和 <code>n</code> 都是 <strong>偶数</strong></li>\n\t<li><code>1 &lt;= grid[i][j] &lt;=<sup> </sup>5000</code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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                    "lang": "C++",
                    "langSlug": "cpp",
                    "code": "class Solution {\npublic:\n    vector<vector<int>> rotateGrid(vector<vector<int>>& grid, int k) {\n\n    }\n};",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Java",
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                    "code": "class Solution {\n    public int[][] rotateGrid(int[][] grid, int k) {\n\n    }\n}",
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                {
                    "lang": "Python",
                    "langSlug": "python",
                    "code": "class Solution(object):\n    def rotateGrid(self, grid, k):\n        \"\"\"\n        :type grid: List[List[int]]\n        :type k: int\n        :rtype: List[List[int]]\n        \"\"\"",
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                {
                    "lang": "Python3",
                    "langSlug": "python3",
                    "code": "class Solution:\n    def rotateGrid(self, grid: List[List[int]], k: int) -> List[List[int]]:",
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                {
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                    "code": "/**\n * Return an array of arrays of size *returnSize.\n * The sizes of the arrays are returned as *returnColumnSizes array.\n * Note: Both returned array and *columnSizes array must be malloced, assume caller calls free().\n */\nint** rotateGrid(int** grid, int gridSize, int* gridColSize, int k, int* returnSize, int** returnColumnSizes){\n\n}",
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                    "code": "public class Solution {\n    public int[][] RotateGrid(int[][] grid, int k) {\n\n    }\n}",
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                    "lang": "JavaScript",
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                    "code": "/**\n * @param {number[][]} grid\n * @param {number} k\n * @return {number[][]}\n */\nvar rotateGrid = function(grid, k) {\n\n};",
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                    "code": "# @param {Integer[][]} grid\n# @param {Integer} k\n# @return {Integer[][]}\ndef rotate_grid(grid, k)\n\nend",
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                    "lang": "Swift",
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                    "code": "class Solution {\n    func rotateGrid(_ grid: [[Int]], _ k: Int) -> [[Int]] {\n\n    }\n}",
                    "__typename": "CodeSnippetNode"
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                    "lang": "Go",
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                    "code": "func rotateGrid(grid [][]int, k int) [][]int {\n\n}",
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                    "lang": "Scala",
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                    "code": "object Solution {\n    def rotateGrid(grid: Array[Array[Int]], k: Int): Array[Array[Int]] = {\n\n    }\n}",
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                    "lang": "Kotlin",
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                    "code": "class Solution {\n    fun rotateGrid(grid: Array<IntArray>, k: Int): Array<IntArray> {\n\n    }\n}",
                    "__typename": "CodeSnippetNode"
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                    "lang": "Rust",
                    "langSlug": "rust",
                    "code": "impl Solution {\n    pub fn rotate_grid(grid: Vec<Vec<i32>>, k: i32) -> Vec<Vec<i32>> {\n\n    }\n}",
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                    "lang": "PHP",
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                    "code": "class Solution {\n\n    /**\n     * @param Integer[][] $grid\n     * @param Integer $k\n     * @return Integer[][]\n     */\n    function rotateGrid($grid, $k) {\n\n    }\n}",
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                    "lang": "Racket",
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                    "code": "(define/contract (rotate-grid grid k)\n  (-> (listof (listof exact-integer?)) exact-integer? (listof (listof exact-integer?)))\n\n  )",
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                    "lang": "Erlang",
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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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