{ "data": { "question": { "questionId": "304", "questionFrontendId": "304", "boundTopicId": null, "title": "Range Sum Query 2D - Immutable", "titleSlug": "range-sum-query-2d-immutable", "content": "

Given a 2D matrix matrix, handle multiple queries of the following type:

\n\n\n\n

Implement the NumMatrix class:

\n\n\n\n

 

\n

Example 1:

\n\"\"\n
\nInput\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]]\nOutput\n[null, 8, 11, 12]\n\nExplanation\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
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Medium", "likes": 2518, "dislikes": 243, "isLiked": null, "similarQuestions": "[{\"title\": \"Range Sum Query - Immutable\", \"titleSlug\": \"range-sum-query-immutable\", \"difficulty\": \"Easy\", \"translatedTitle\": null}, {\"title\": \"Range Sum Query 2D - Mutable\", \"titleSlug\": \"range-sum-query-2d-mutable\", \"difficulty\": \"Hard\", \"translatedTitle\": null}]", "exampleTestcases": "[\"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]]", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Array", "slug": "array", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Design", "slug": "design", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Matrix", "slug": "matrix", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Prefix Sum", "slug": "prefix-sum", "translatedName": null, "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class NumMatrix {\npublic:\n NumMatrix(vector>& 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) {\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>) -> 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.", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"222.1K\", \"totalSubmission\": \"466.4K\", \"totalAcceptedRaw\": 222117, \"totalSubmissionRaw\": 466399, \"acRate\": \"47.6%\"}", "hints": [], "solution": { "id": "10", "canSeeDetail": true, "paidOnly": false, "hasVideoSolution": false, "paidOnlyVideo": true, "__typename": "ArticleNode" }, "status": null, "sampleTestCase": "[\"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]]", "metaData": "{\n \"classname\": \"NumMatrix\",\n \"maxbytesperline\": 150000,\n \"constructor\": {\n \"params\": [\n {\n \"type\": \"integer[][]\",\n \"name\": \"matrix\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"matrixRowSize\",\n \"lang\": \"c\",\n \"value\": \"size_1\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"matrixColSize\",\n \"lang\": \"c\",\n \"value\": \"col_size_1\"\n }\n ]\n },\n \"methods\": [\n {\n \"name\" : \"sumRegion\",\n \"params\": [\n {\n \"type\": \"integer\",\n \"name\": \"row1\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"col1\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"row2\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"col2\"\n }\n ],\n \"return\": {\n \"type\": \"integer\"\n }\n }\n ],\n \"systemdesign\": true,\n \"params\": [\n {\n \"name\": \"inputs\",\n \"type\": \"integer[]\"\n },\n {\n \"name\": \"inputs\",\n \"type\": \"integer[]\"\n }\n ],\n \"return\": {\n \"type\": \"list\",\n \"dealloc\": true\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "enableTestMode": false, "enableDebugger": true, "envInfo": "{\"cpp\": [\"C++\", \"

Compiled with clang 11 using the latest C++ 17 standard.

\\r\\n\\r\\n

Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\"], \"java\": [\"Java\", \"

OpenJDK 17 . Java 8 features such as lambda expressions and stream API can be used.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\\r\\n

Includes Pair class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.

\"], \"python\": [\"Python\", \"

Python 2.7.12.

\\r\\n\\r\\n

Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

\\r\\n\\r\\n

For Map/TreeMap data structure, you may use sortedcontainers library.

\\r\\n\\r\\n

Note that Python 2.7 will not be maintained past 2020. For the latest Python, please choose Python3 instead.

\"], \"c\": [\"C\", \"

Compiled with gcc 8.2 using the gnu99 standard.

\\r\\n\\r\\n

Your code is compiled with level one optimization (-O1). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\\r\\n\\r\\n

For hash table operations, you may use uthash. \\\"uthash.h\\\" is included by default. Below are some examples:

\\r\\n\\r\\n

1. Adding an item to a hash.\\r\\n

\\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
\\r\\n

\\r\\n\\r\\n

2. Looking up an item in a hash:\\r\\n

\\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
\\r\\n

\\r\\n\\r\\n

3. Deleting an item in a hash:\\r\\n

\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n    HASH_DEL(users, user);  \\r\\n}\\r\\n
\\r\\n

\"], \"csharp\": [\"C#\", \"

C# 10 with .NET 6 runtime

\\r\\n\\r\\n

Your code is compiled with debug flag enabled (/debug).

\"], \"javascript\": [\"JavaScript\", \"

Node.js 16.13.2.

\\r\\n\\r\\n

Your code is run with --harmony flag, enabling new ES6 features.

\\r\\n\\r\\n

lodash.js library is included by default.

\\r\\n\\r\\n

For Priority Queue / Queue data structures, you may use datastructures-js/priority-queue and datastructures-js/queue.

\"], \"ruby\": [\"Ruby\", \"

Ruby 3.1

\\r\\n\\r\\n

Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms

\"], \"swift\": [\"Swift\", \"

Swift 5.5.2.

\"], \"golang\": [\"Go\", \"

Go 1.17.6.

\\r\\n\\r\\n

Support https://godoc.org/github.com/emirpasic/gods library.

\"], \"python3\": [\"Python3\", \"

Python 3.10.

\\r\\n\\r\\n

Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

\\r\\n\\r\\n

For Map/TreeMap data structure, you may use sortedcontainers library.

\"], \"scala\": [\"Scala\", \"

Scala 2.13.7.

\"], \"kotlin\": [\"Kotlin\", \"

Kotlin 1.3.10.

\"], \"rust\": [\"Rust\", \"

Rust 1.58.1

\\r\\n\\r\\n

Supports rand v0.6\\u00a0from crates.io

\"], \"php\": [\"PHP\", \"

PHP 8.1.

\\r\\n

With bcmath module

\"], \"typescript\": [\"Typescript\", \"

TypeScript 4.5.4, Node.js 16.13.2.

\\r\\n\\r\\n

Your code is run with --harmony flag, enabling new ES2020 features.

\\r\\n\\r\\n

lodash.js library is included by default.

\"], \"racket\": [\"Racket\", \"

Run with Racket 8.3.

\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 24.2\"], \"elixir\": [\"Elixir\", \"Elixir 1.13.0 with Erlang/OTP 24.2\"]}", "libraryUrl": null, "adminUrl": null, "challengeQuestion": null, "__typename": "QuestionNode" } } }