leetcode-problemset/leetcode/originData/construct-quad-tree.json

{
    "data": {
        "question": {
            "questionId": "772",
            "questionFrontendId": "427",
            "boundTopicId": null,
            "title": "Construct Quad Tree",
            "titleSlug": "construct-quad-tree",
            "content": "<p>Given a <code>n * n</code> matrix <code>grid</code> of <code>0&#39;s</code> and <code>1&#39;s</code> only. We want to represent <code>grid</code> with a Quad-Tree.</p>\n\n<p>Return <em>the root of the Quad-Tree representing </em><code>grid</code>.</p>\n\n<p>A Quad-Tree is a tree data structure in which each internal node has exactly four children. Besides, each node has two attributes:</p>\n\n<ul>\n\t<li><code>val</code>: True if the node represents a grid of 1&#39;s or False if the node represents a grid of 0&#39;s. Notice that you can assign the <code>val</code> to True or False when <code>isLeaf</code> is False, and both are accepted in the answer.</li>\n\t<li><code>isLeaf</code>: True if the node is a leaf node on the tree or False if the node has four children.</li>\n</ul>\n\n<pre>\nclass Node {\n    public boolean val;\n    public boolean isLeaf;\n    public Node topLeft;\n    public Node topRight;\n    public Node bottomLeft;\n    public Node bottomRight;\n}</pre>\n\n<p>We can construct a Quad-Tree from a two-dimensional area using the following steps:</p>\n\n<ol>\n\t<li>If the current grid has the same value (i.e all <code>1&#39;s</code> or all <code>0&#39;s</code>) set <code>isLeaf</code> True and set <code>val</code> to the value of the grid and set the four children to Null and stop.</li>\n\t<li>If the current grid has different values, set <code>isLeaf</code> to False and set <code>val</code> to any value and divide the current grid into four sub-grids as shown in the photo.</li>\n\t<li>Recurse for each of the children with the proper sub-grid.</li>\n</ol>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/02/11/new_top.png\" style=\"width: 777px; height: 181px;\" />\n<p>If you want to know more about the Quad-Tree, you can refer to the <a href=\"https://en.wikipedia.org/wiki/Quadtree\">wiki</a>.</p>\n\n<p><strong>Quad-Tree format:</strong></p>\n\n<p>You don&#39;t need to read this section for solving the problem. This is only if you want to understand the output format here. The output represents the serialized format of a Quad-Tree using level order traversal, where <code>null</code> signifies a path terminator where no node exists below.</p>\n\n<p>It is very similar to the serialization of the binary tree. The only difference is that the node is represented as a list <code>[isLeaf, val]</code>.</p>\n\n<p>If the value of <code>isLeaf</code> or <code>val</code> is True we represent it as <strong>1</strong> in the list <code>[isLeaf, val]</code> and if the value of <code>isLeaf</code> or <code>val</code> is False we represent it as <strong>0</strong>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/02/11/grid1.png\" style=\"width: 777px; height: 99px;\" />\n<pre>\n<strong>Input:</strong> grid = [[0,1],[1,0]]\n<strong>Output:</strong> [[0,1],[1,0],[1,1],[1,1],[1,0]]\n<strong>Explanation:</strong> The explanation of this example is shown below:\nNotice that 0 represents False and 1 represents True in the photo representing the Quad-Tree.\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/02/12/e1tree.png\" style=\"width: 777px; height: 186px;\" />\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/02/12/e2mat.png\" style=\"width: 777px; height: 343px;\" /></p>\n\n<pre>\n<strong>Input:</strong> grid = [[1,1,1,1,0,0,0,0],[1,1,1,1,0,0,0,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,0,0,0,0],[1,1,1,1,0,0,0,0],[1,1,1,1,0,0,0,0],[1,1,1,1,0,0,0,0]]\n<strong>Output:</strong> [[0,1],[1,1],[0,1],[1,1],[1,0],null,null,null,null,[1,0],[1,0],[1,1],[1,1]]\n<strong>Explanation:</strong> All values in the grid are not the same. We divide the grid into four sub-grids.\nThe topLeft, bottomLeft and bottomRight each has the same value.\nThe topRight have different values so we divide it into 4 sub-grids where each has the same value.\nExplanation is shown in the photo below:\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/02/12/e2tree.png\" style=\"width: 777px; height: 328px;\" />\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == grid.length == grid[i].length</code></li>\n\t<li><code>n == 2<sup>x</sup></code> where <code>0 &lt;= x &lt;= 6</code></li>\n</ul>\n",
            "translatedTitle": null,
            "translatedContent": null,
            "isPaidOnly": false,
            "difficulty": "Medium",
            "likes": 1415,
            "dislikes": 1759,
            "isLiked": null,
            "similarQuestions": "[]",
            "exampleTestcases": "[[0,1],[1,0]]\n[[1,1,1,1,0,0,0,0],[1,1,1,1,0,0,0,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,0,0,0,0],[1,1,1,1,0,0,0,0],[1,1,1,1,0,0,0,0],[1,1,1,1,0,0,0,0]]",
            "categoryTitle": "Algorithms",
            "contributors": [],
            "topicTags": [
                {
                    "name": "Array",
                    "slug": "array",
                    "translatedName": null,
                    "__typename": "TopicTagNode"
                },
                {
                    "name": "Divide and Conquer",
                    "slug": "divide-and-conquer",
                    "translatedName": null,
                    "__typename": "TopicTagNode"
                },
                {
                    "name": "Tree",
                    "slug": "tree",
                    "translatedName": null,
                    "__typename": "TopicTagNode"
                },
                {
                    "name": "Matrix",
                    "slug": "matrix",
                    "translatedName": null,
                    "__typename": "TopicTagNode"
                }
            ],
            "companyTagStats": null,
            "codeSnippets": [
                {
                    "lang": "C++",
                    "langSlug": "cpp",
                    "code": "/*\n// Definition for a QuadTree node.\nclass Node {\npublic:\n    bool val;\n    bool isLeaf;\n    Node* topLeft;\n    Node* topRight;\n    Node* bottomLeft;\n    Node* bottomRight;\n    \n    Node() {\n        val = false;\n        isLeaf = false;\n        topLeft = NULL;\n        topRight = NULL;\n        bottomLeft = NULL;\n        bottomRight = NULL;\n    }\n    \n    Node(bool _val, bool _isLeaf) {\n        val = _val;\n        isLeaf = _isLeaf;\n        topLeft = NULL;\n        topRight = NULL;\n        bottomLeft = NULL;\n        bottomRight = NULL;\n    }\n    \n    Node(bool _val, bool _isLeaf, Node* _topLeft, Node* _topRight, Node* _bottomLeft, Node* _bottomRight) {\n        val = _val;\n        isLeaf = _isLeaf;\n        topLeft = _topLeft;\n        topRight = _topRight;\n        bottomLeft = _bottomLeft;\n        bottomRight = _bottomRight;\n    }\n};\n*/\n\nclass Solution {\npublic:\n    Node* construct(vector<vector<int>>& grid) {\n        \n    }\n};",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Java",
                    "langSlug": "java",
                    "code": "/*\n// Definition for a QuadTree node.\nclass Node {\n    public boolean val;\n    public boolean isLeaf;\n    public Node topLeft;\n    public Node topRight;\n    public Node bottomLeft;\n    public Node bottomRight;\n\n    \n    public Node() {\n        this.val = false;\n        this.isLeaf = false;\n        this.topLeft = null;\n        this.topRight = null;\n        this.bottomLeft = null;\n        this.bottomRight = null;\n    }\n    \n    public Node(boolean val, boolean isLeaf) {\n        this.val = val;\n        this.isLeaf = isLeaf;\n        this.topLeft = null;\n        this.topRight = null;\n        this.bottomLeft = null;\n        this.bottomRight = null;\n    }\n    \n    public Node(boolean val, boolean isLeaf, Node topLeft, Node topRight, Node bottomLeft, Node bottomRight) {\n        this.val = val;\n        this.isLeaf = isLeaf;\n        this.topLeft = topLeft;\n        this.topRight = topRight;\n        this.bottomLeft = bottomLeft;\n        this.bottomRight = bottomRight;\n    }\n};\n*/\n\nclass Solution {\n    public Node construct(int[][] grid) {\n        \n    }\n}",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Python",
                    "langSlug": "python",
                    "code": "\"\"\"\n# Definition for a QuadTree node.\nclass Node(object):\n    def __init__(self, val, isLeaf, topLeft, topRight, bottomLeft, bottomRight):\n        self.val = val\n        self.isLeaf = isLeaf\n        self.topLeft = topLeft\n        self.topRight = topRight\n        self.bottomLeft = bottomLeft\n        self.bottomRight = bottomRight\n\"\"\"\n\nclass Solution(object):\n    def construct(self, grid):\n        \"\"\"\n        :type grid: List[List[int]]\n        :rtype: Node\n        \"\"\"\n        ",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Python3",
                    "langSlug": "python3",
                    "code": "\"\"\"\n# Definition for a QuadTree node.\nclass Node:\n    def __init__(self, val, isLeaf, topLeft, topRight, bottomLeft, bottomRight):\n        self.val = val\n        self.isLeaf = isLeaf\n        self.topLeft = topLeft\n        self.topRight = topRight\n        self.bottomLeft = bottomLeft\n        self.bottomRight = bottomRight\n\"\"\"\n\nclass Solution:\n    def construct(self, grid: List[List[int]]) -> 'Node':\n        ",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "C#",
                    "langSlug": "csharp",
                    "code": "/*\n// Definition for a QuadTree node.\npublic class Node {\n    public bool val;\n    public bool isLeaf;\n    public Node topLeft;\n    public Node topRight;\n    public Node bottomLeft;\n    public Node bottomRight;\n\n    public Node() {\n        val = false;\n        isLeaf = false;\n        topLeft = null;\n        topRight = null;\n        bottomLeft = null;\n        bottomRight = null;\n    }\n    \n    public Node(bool _val, bool _isLeaf) {\n        val = _val;\n        isLeaf = _isLeaf;\n        topLeft = null;\n        topRight = null;\n        bottomLeft = null;\n        bottomRight = null;\n    }\n    \n    public Node(bool _val,bool _isLeaf,Node _topLeft,Node _topRight,Node _bottomLeft,Node _bottomRight) {\n        val = _val;\n        isLeaf = _isLeaf;\n        topLeft = _topLeft;\n        topRight = _topRight;\n        bottomLeft = _bottomLeft;\n        bottomRight = _bottomRight;\n    }\n}\n*/\n\npublic class Solution {\n    public Node Construct(int[][] grid) {\n        \n    }\n}",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "JavaScript",
                    "langSlug": "javascript",
                    "code": "/**\n * // Definition for a QuadTree node.\n * function Node(val,isLeaf,topLeft,topRight,bottomLeft,bottomRight) {\n *    this.val = val;\n *    this.isLeaf = isLeaf;\n *    this.topLeft = topLeft;\n *    this.topRight = topRight;\n *    this.bottomLeft = bottomLeft;\n *    this.bottomRight = bottomRight;\n * };\n */\n\n/**\n * @param {number[][]} grid\n * @return {Node}\n */\nvar construct = function(grid) {\n    \n};",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "TypeScript",
                    "langSlug": "typescript",
                    "code": "/**\n * Definition for node.\n * class Node {\n *     val: boolean\n *     isLeaf: boolean\n *     topLeft: Node | null\n *     topRight: Node | null\n *     bottomLeft: Node | null\n *     bottomRight: Node | null\n *     constructor(val?: boolean, isLeaf?: boolean, topLeft?: Node, topRight?: Node, bottomLeft?: Node, bottomRight?: Node) {\n *         this.val = (val===undefined ? false : val)\n *         this.isLeaf = (isLeaf===undefined ? false : isLeaf)\n *         this.topLeft = (topLeft===undefined ? null : topLeft)\n *         this.topRight = (topRight===undefined ? null : topRight)\n *         this.bottomLeft = (bottomLeft===undefined ? null : bottomLeft)\n *         this.bottomRight = (bottomRight===undefined ? null : bottomRight)\n *     }\n * }\n */\n\nfunction construct(grid: number[][]): Node | null {\n\n};",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "PHP",
                    "langSlug": "php",
                    "code": "/**\n * Definition for a QuadTree node.\n * class Node {\n *     public $val = null;\n *     public $isLeaf = null;\n *     public $topLeft = null;\n *     public $topRight = null;\n *     public $bottomLeft = null;\n *     public $bottomRight = null;\n *     function __construct($val, $isLeaf) {\n *         $this->val = $val;\n *         $this->isLeaf = $isLeaf;\n *         $this->topLeft = null;\n *         $this->topRight = null;\n *         $this->bottomLeft = null;\n *         $this->bottomRight = null;\n *     }\n * }\n */\n\nclass Solution {\n    /**\n     * @param Integer[][] $grid\n     * @return Node\n     */\n    function construct($grid) {\n        \n    }\n}",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Swift",
                    "langSlug": "swift",
                    "code": "/**\n * Definition for a QuadTree node.\n * public class Node {\n *     public var val: Bool\n *     public var isLeaf: Bool\n *     public var topLeft: Node?\n *     public var topRight: Node?\n *     public var bottomLeft: Node?\n *     public var bottomRight: Node?\n *     public init(_ val: Bool, _ isLeaf: Bool) {\n *         self.val = val\n *         self.isLeaf = isLeaf\n *         self.topLeft = nil\n *         self.topRight = nil\n *         self.bottomLeft = nil\n *         self.bottomRight = nil\n *     }\n * }\n */\n\nclass Solution {\n    func construct(_ grid: [[Int]]) -> Node? {\n        \n    }\n}",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Kotlin",
                    "langSlug": "kotlin",
                    "code": "/**\n * Definition for a QuadTree node.\n * class Node(var `val`: Boolean, var isLeaf: Boolean) {\n *     var topLeft: Node? = null\n *     var topRight: Node? = null\n *     var bottomLeft: Node? = null\n *     var bottomRight: Node? = null\n * }\n */\n\nclass Solution {\n    fun construct(grid: Array<IntArray>): Node? {\n        \n    }\n}",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Go",
                    "langSlug": "golang",
                    "code": "/**\n * Definition for a QuadTree node.\n * type Node struct {\n *     Val bool\n *     IsLeaf bool\n *     TopLeft *Node\n *     TopRight *Node\n *     BottomLeft *Node\n *     BottomRight *Node\n * }\n */\n\nfunc construct(grid [][]int) *Node {\n    \n}",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Ruby",
                    "langSlug": "ruby",
                    "code": "# Definition for a QuadTree node.\n# class Node\n#     attr_accessor :val, :isLeaf, :topLeft, :topRight, :bottomLeft, :bottomRight\n#     def initialize(val=false, isLeaf=false, topLeft=nil, topRight=nil, bottomLeft=nil, bottomRight=nil)\n#         @val = val\n#         @isLeaf = isLeaf\n#         @topLeft = topLeft\n#         @topRight = topRight\n#         @bottomLeft = bottomLeft\n#         @bottomRight = bottomRight\n#     end\n# end\n\n# @param {Integer[][]} grid\n# @return {Node}\ndef construct(grid)\n\t\nend",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Scala",
                    "langSlug": "scala",
                    "code": "/**\n * Definition for a QuadTree node.\n * class Node(var _value: Boolean, var _isLeaf: Boolean) {\n *   var value: Int = _value\n *   var isLeaf: Boolean = _isLeaf\n *   var topLeft: Node = null\n *   var topRight: Node = null\n *   var bottomLeft: Node = null\n *   var bottomRight: Node = null\n * }\n */\n\nobject Solution {\n    def construct(grid: Array[Array[Int]]): Node = {\n        \n    }\n}",
                    "__typename": "CodeSnippetNode"
                }
            ],
            "stats": "{\"totalAccepted\": \"107.1K\", \"totalSubmission\": \"142.7K\", \"totalAcceptedRaw\": 107132, \"totalSubmissionRaw\": 142732, \"acRate\": \"75.1%\"}",
            "hints": [],
            "solution": {
                "id": "1666",
                "canSeeDetail": false,
                "paidOnly": true,
                "hasVideoSolution": false,
                "paidOnlyVideo": true,
                "__typename": "ArticleNode"
            },
            "status": null,
            "sampleTestCase": "[[0,1],[1,0]]",
            "metaData": "{\n  \"name\": \"construct\",\n  \"params\": [\n    {\n      \"name\": \"grid\",\n      \"type\": \"integer[][]\"\n    }\n  ],\n  \"return\": {\n    \"type\": \"list<list<integer>>\"\n  },\n  \"languages\": [\n    \"cpp\",\n    \"java\",\n    \"python\",\n    \"csharp\",\n    \"javascript\",\n    \"python3\",\n    \"kotlin\",\n    \"ruby\",\n    \"scala\",\n    \"swift\",\n    \"golang\",\n    \"php\",\n    \"typescript\"\n  ],\n  \"manual\": true\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++ 20 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>\"], \"csharp\": [\"C#\", \"<p><a href=\\\"https://learn.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-10\\\" target=\\\"_blank\\\">C# 10 with .NET 6 runtime</a></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 5.3.0 version of <a href=\\\"https://github.com/datastructures-js/priority-queue/tree/fb4fdb984834421279aeb081df7af624d17c2a03\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and 4.2.1 version of <a href=\\\"https://github.com/datastructures-js/queue/tree/e63563025a5a805aa16928cb53bcd517bfea9230\\\" 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 1.21</code></p>\\r\\n<p>Support <a href=\\\"https://github.com/emirpasic/gods/tree/v1.18.1\\\" target=\\\"_blank\\\">https://godoc.org/github.com/emirpasic/gods@v1.18.1</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 1.9.0</code>.</p>\"], \"php\": [\"PHP\", \"<p><code>PHP 8.1</code>.</p>\\r\\n<p>With bcmath module</p>\"], \"typescript\": [\"Typescript\", \"<p><code>TypeScript 5.1.6, 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 ES2022 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\"]}",
            "libraryUrl": null,
            "adminUrl": null,
            "challengeQuestion": {
                "id": "1247",
                "date": "2023-02-27",
                "incompleteChallengeCount": 0,
                "streakCount": 0,
                "type": "DAILY",
                "__typename": "ChallengeQuestionNode"
            },
            "__typename": "QuestionNode"
        }
    }
}