"content":"<p>Given a 2D matrix <code>matrix</code>, handle multiple queries of the following type:</p>\n\n<ul>\n\t<li>Calculate the <strong>sum</strong> of the elements of <code>matrix</code> inside the rectangle defined by its <strong>upper left corner</strong> <code>(row1, col1)</code> and <strong>lower right corner</strong> <code>(row2, col2)</code>.</li>\n</ul>\n\n<p>Implement the NumMatrix class:</p>\n\n<ul>\n\t<li><code>NumMatrix(int[][] matrix)</code> Initializes the object with the integer matrix <code>matrix</code>.</li>\n\t<li><code>int sumRegion(int row1, int col1, int row2, int col2)</code> Returns the <strong>sum</strong> of the elements of <code>matrix</code> inside the rectangle defined by its <strong>upper left corner</strong> <code>(row1, col1)</code> and <strong>lower right corner</strong> <code>(row2, col2)</code>.</li>\n</ul>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/14/sum-grid.jpg\" style=\"width: 415px; height: 415px;\" />\n<pre>\n<strong>Input</strong>\n["NumMatrix", "sumRegion", "sumRegion", "sumRegion"]\n[[[[3, 0, 1, 4, 2], [5, 6, 3, 2, 1], [1, 2, 0, 1, 5], [4, 1, 0, 1, 7], [1, 0, 3, 0, 5]]], [2, 1, 4, 3], [1, 1, 2, 2], [1, 2, 2, 4]]\n<strong>Output</strong>\n[null, 8, 11, 12]\n\n<strong>Explanation</strong>\nNumMatrix numMatrix = new NumMatrix([[3, 0, 1, 4, 2], [5, 6, 3, 2, 1], [1, 2, 0, 1, 5], [4, 1, 0, 1, 7], [1, 0, 3, 0, 5]]);\nnumMatrix.sumRegion(2, 1, 4, 3); // return 8 (i.e sum of the red rectangle)\nnumMatrix.sumRegion(1, 1, 2, 2); // return 11 (i.e sum of the green rectangle)\nnumMatrix.sumRegion(1, 2, 2, 4); // return 12 (i.e sum of the blue rectangle)\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == matrix.length</code></li>\n\t<li><code>n == matrix[i].length</code></li>\n\t<li><code>1 <= m, n <= 200</code></li>\n\t<li><code>-10<sup>5</sup> <= matrix[i][j] <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= row1 <= row2 < m</code></li>\n\t<li><code>0 <= col1 <= col2 < n</code></li>\n\t<li>At most <code>10<sup>4</sup></code> calls will be made to <code>sumRegion</code>.</li>\n</ul>\n",
"code":"class NumMatrix {\npublic:\n NumMatrix(vector<vector<int>>& matrix) {\n \n }\n \n int sumRegion(int row1, int col1, int row2, int col2) {\n \n }\n};\n\n/**\n * Your NumMatrix object will be instantiated and called as such:\n * NumMatrix* obj = new NumMatrix(matrix);\n * int param_1 = obj->sumRegion(row1,col1,row2,col2);\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Java",
"langSlug":"java",
"code":"class NumMatrix {\n\n public NumMatrix(int[][] matrix) {\n \n }\n \n public int sumRegion(int row1, int col1, int row2, int col2) {\n \n }\n}\n\n/**\n * Your NumMatrix object will be instantiated and called as such:\n * NumMatrix obj = new NumMatrix(matrix);\n * int param_1 = obj.sumRegion(row1,col1,row2,col2);\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Python",
"langSlug":"python",
"code":"class NumMatrix(object):\n\n def __init__(self, matrix):\n \"\"\"\n :type matrix: List[List[int]]\n \"\"\"\n \n\n def sumRegion(self, row1, col1, row2, col2):\n \"\"\"\n :type row1: int\n :type col1: int\n :type row2: int\n :type col2: int\n :rtype: int\n \"\"\"\n \n\n\n# Your NumMatrix object will be instantiated and called as such:\n# obj = NumMatrix(matrix)\n# param_1 = obj.sumRegion(row1,col1,row2,col2)",
"__typename":"CodeSnippetNode"
},
{
"lang":"Python3",
"langSlug":"python3",
"code":"class NumMatrix:\n\n def __init__(self, matrix: List[List[int]]):\n \n\n def sumRegion(self, row1: int, col1: int, row2: int, col2: int) -> int:\n \n\n\n# Your NumMatrix object will be instantiated and called as such:\n# obj = NumMatrix(matrix)\n# param_1 = obj.sumRegion(row1,col1,row2,col2)",
"__typename":"CodeSnippetNode"
},
{
"lang":"C",
"langSlug":"c",
"code":"\n\n\ntypedef struct {\n \n} NumMatrix;\n\n\nNumMatrix* numMatrixCreate(int** matrix, int matrixSize, int* matrixColSize) {\n \n}\n\nint numMatrixSumRegion(NumMatrix* obj, int row1, int col1, int row2, int col2) {\n \n}\n\nvoid numMatrixFree(NumMatrix* obj) {\n \n}\n\n/**\n * Your NumMatrix struct will be instantiated and called as such:\n * NumMatrix* obj = numMatrixCreate(matrix, matrixSize, matrixColSize);\n * int param_1 = numMatrixSumRegion(obj, row1, col1, row2, col2);\n \n * numMatrixFree(obj);\n*/",
"__typename":"CodeSnippetNode"
},
{
"lang":"C#",
"langSlug":"csharp",
"code":"public class NumMatrix {\n\n public NumMatrix(int[][] matrix) {\n \n }\n \n public int SumRegion(int row1, int col1, int row2, int col2) {\n \n }\n}\n\n/**\n * Your NumMatrix object will be instantiated and called as such:\n * NumMatrix obj = new NumMatrix(matrix);\n * int param_1 = obj.SumRegion(row1,col1,row2,col2);\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"JavaScript",
"langSlug":"javascript",
"code":"/**\n * @param {number[][]} matrix\n */\nvar NumMatrix = function(matrix) {\n \n};\n\n/** \n * @param {number} row1 \n * @param {number} col1 \n * @param {number} row2 \n * @param {number} col2\n * @return {number}\n */\nNumMatrix.prototype.sumRegion = function(row1, col1, row2, col2) {\n \n};\n\n/** \n * Your NumMatrix object will be instantiated and called as such:\n * var obj = new NumMatrix(matrix)\n * var param_1 = obj.sumRegion(row1,col1,row2,col2)\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Ruby",
"langSlug":"ruby",
"code":"class NumMatrix\n\n=begin\n :type matrix: Integer[][]\n=end\n def initialize(matrix)\n \n end\n\n\n=begin\n :type row1: Integer\n :type col1: Integer\n :type row2: Integer\n :type col2: Integer\n :rtype: Integer\n=end\n def sum_region(row1, col1, row2, col2)\n \n end\n\n\nend\n\n# Your NumMatrix object will be instantiated and called as such:\n# obj = NumMatrix.new(matrix)\n# param_1 = obj.sum_region(row1, col1, row2, col2)",
"__typename":"CodeSnippetNode"
},
{
"lang":"Swift",
"langSlug":"swift",
"code":"\nclass NumMatrix {\n\n init(_ matrix: [[Int]]) {\n \n }\n \n func sumRegion(_ row1: Int, _ col1: Int, _ row2: Int, _ col2: Int) -> Int {\n \n }\n}\n\n/**\n * Your NumMatrix object will be instantiated and called as such:\n * let obj = NumMatrix(matrix)\n * let ret_1: Int = obj.sumRegion(row1, col1, row2, col2)\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Go",
"langSlug":"golang",
"code":"type NumMatrix struct {\n \n}\n\n\nfunc Constructor(matrix [][]int) NumMatrix {\n \n}\n\n\nfunc (this *NumMatrix) SumRegion(row1 int, col1 int, row2 int, col2 int) int {\n \n}\n\n\n/**\n * Your NumMatrix object will be instantiated and called as such:\n * obj := Constructor(matrix);\n * param_1 := obj.SumRegion(row1,col1,row2,col2);\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Scala",
"langSlug":"scala",
"code":"class NumMatrix(_matrix: Array[Array[Int]]) {\n\n def sumRegion(row1: Int, col1: Int, row2: Int, col2: Int): Int = {\n \n }\n\n}\n\n/**\n * Your NumMatrix object will be instantiated and called as such:\n * var obj = new NumMatrix(matrix)\n * var param_1 = obj.sumRegion(row1,col1,row2,col2)\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Kotlin",
"langSlug":"kotlin",
"code":"class NumMatrix(matrix: Array<IntArray>) {\n\n fun sumRegion(row1: Int, col1: Int, row2: Int, col2: Int): Int {\n \n }\n\n}\n\n/**\n * Your NumMatrix object will be instantiated and called as such:\n * var obj = NumMatrix(matrix)\n * var param_1 = obj.sumRegion(row1,col1,row2,col2)\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Rust",
"langSlug":"rust",
"code":"struct NumMatrix {\n\n}\n\n\n/** \n * `&self` means the method takes an immutable reference.\n * If you need a mutable reference, change it to `&mut self` instead.\n */\nimpl NumMatrix {\n\n fn new(matrix: Vec<Vec<i32>>) -> Self {\n \n }\n \n fn sum_region(&self, row1: i32, col1: i32, row2: i32, col2: i32) -> i32 {\n \n }\n}\n\n/**\n * Your NumMatrix object will be instantiated and called as such:\n * let obj = NumMatrix::new(matrix);\n * let ret_1: i32 = obj.sum_region(row1, col1, row2, col2);\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"PHP",
"langSlug":"php",
"code":"class NumMatrix {\n /**\n * @param Integer[][] $matrix\n */\n function __construct($matrix) {\n \n }\n \n /**\n * @param Integer $row1\n * @param Integer $col1\n * @param Integer $row2\n * @param Integer $col2\n * @return Integer\n */\n function sumRegion($row1, $col1, $row2, $col2) {\n \n }\n}\n\n/**\n * Your NumMatrix object will be instantiated and called as such:\n * $obj = NumMatrix($matrix);\n * $ret_1 = $obj->sumRegion($row1, $col1, $row2, $col2);\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"TypeScript",
"langSlug":"typescript",
"code":"class NumMatrix {\n constructor(matrix: number[][]) {\n\n }\n\n sumRegion(row1: number, col1: number, row2: number, col2: number): number {\n\n }\n}\n\n/**\n * Your NumMatrix object will be instantiated and called as such:\n * var obj = new NumMatrix(matrix)\n * var param_1 = obj.sumRegion(row1,col1,row2,col2)\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Racket",
"langSlug":"racket",
"code":"(define num-matrix%\n (class object%\n (super-new)\n\n ; matrix : (listof (listof exact-integer?))\n (init-field\n matrix)\n \n ; sum-region : exact-integer? exact-integer? exact-integer? exact-integer? -> exact-integer?\n (define/public (sum-region row1 col1 row2 col2)\n\n )))\n\n;; Your num-matrix% object will be instantiated and called as such:\n;; (define obj (new num-matrix% [matrix matrix]))\n;; (define param_1 (send obj sum-region row1 col1 row2 col2))",
"__typename":"CodeSnippetNode"
},
{
"lang":"Erlang",
"langSlug":"erlang",
"code":"-spec num_matrix_init_(Matrix :: [[integer()]]) -> any().\nnum_matrix_init_(Matrix) ->\n .\n\n-spec num_matrix_sum_region(Row1 :: integer(), Col1 :: integer(), Row2 :: integer(), Col2 :: integer()) -> integer().\nnum_matrix_sum_region(Row1, Col1, Row2, Col2) ->\n .\n\n\n%% Your functions will be called as such:\n%% num_matrix_init_(Matrix),\n%% Param_1 = num_matrix_sum_region(Row1, Col1, Row2, Col2),\n\n%% num_matrix_init_ will be called before every test case, in which you can do some necessary initializations.",
"__typename":"CodeSnippetNode"
},
{
"lang":"Elixir",
"langSlug":"elixir",
"code":"defmodule NumMatrix do\n @spec init_(matrix :: [[integer]]) :: any\n def init_(matrix) do\n\n end\n\n @spec sum_region(row1 :: integer, col1 :: integer, row2 :: integer, col2 :: integer) :: integer\n def sum_region(row1, col1, row2, col2) do\n\n end\nend\n\n# Your functions will be called as such:\n# NumMatrix.init_(matrix)\n# param_1 = NumMatrix.sum_region(row1, col1, row2, col2)\n\n# NumMatrix.init_ will be called before every test case, in which you can do some necessary initializations.",
"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: