{ "data": { "question": { "questionId": "304", "questionFrontendId": "304", "categoryTitle": "Algorithms", "boundTopicId": 1459, "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

You must design an algorithm where sumRegion works on O(1) time complexity.

\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": "二维区域和检索 - 矩阵不可变", "translatedContent": "

给定一个二维矩阵 matrix，以下类型的多个请求：

\n\n\n\n

实现 NumMatrix 类：

\n\n\n\n

 

\n\n

示例 1：

\n\n

\n\n
\n输入: \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输出: \n[null, 8, 11, 12]\n\n解释:\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 (红色矩形框的元素总和)\nnumMatrix.sumRegion(1, 1, 2, 2); // return 11 (绿色矩形框的元素总和)\nnumMatrix.sumRegion(1, 2, 2, 4); // return 12 (蓝色矩形框的元素总和)\n
\n\n

 

\n\n

提示：

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\"html\": false, \"pythonml\": false, \"rust\": false, \"racket\": false, \"erlang\": false, \"elixir\": false, \"pythondata\": false, \"react\": false, \"vanillajs\": false, \"postgresql\": false}", "topicTags": [ { "name": "Design", "slug": "design", "translatedName": "设计", "__typename": "TopicTagNode" }, { "name": "Array", "slug": "array", "translatedName": "数组", "__typename": "TopicTagNode" }, { "name": "Matrix", "slug": "matrix", "translatedName": "矩阵", "__typename": "TopicTagNode" }, { "name": "Prefix Sum", "slug": "prefix-sum", "translatedName": "前缀和", "__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": "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": "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": "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": "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": "Dart", "langSlug": "dart", "code": "class NumMatrix {\n\n NumMatrix(List> 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 = NumMatrix(matrix);\n * int param1 = 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": "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": "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": "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": "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;; 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\": \"134.8K\", \"totalSubmission\": \"217.5K\", \"totalAcceptedRaw\": 134823, \"totalSubmissionRaw\": 217519, \"acRate\": \"62.0%\"}", "hints": [], "solution": null, "status": null, "sampleTestCase": 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