{ "data": { "question": { "questionId": "913", "questionFrontendId": "519", "categoryTitle": "Algorithms", "boundTopicId": 1855, "title": "Random Flip Matrix", "titleSlug": "random-flip-matrix", "content": "

There is an m x n binary grid matrix with all the values set 0 initially. Design an algorithm to randomly pick an index (i, j) where matrix[i][j] == 0 and flips it to 1. All the indices (i, j) where matrix[i][j] == 0 should be equally likely to be returned.

\n\n

Optimize your algorithm to minimize the number of calls made to the built-in random function of your language and optimize the time and space complexity.

\n\n

Implement the Solution class:

\n\n\n\n

 

\n

Example 1:

\n\n
\nInput\n["Solution", "flip", "flip", "flip", "reset", "flip"]\n[[3, 1], [], [], [], [], []]\nOutput\n[null, [1, 0], [2, 0], [0, 0], null, [2, 0]]\n\nExplanation\nSolution solution = new Solution(3, 1);\nsolution.flip();  // return [1, 0], [0,0], [1,0], and [2,0] should be equally likely to be returned.\nsolution.flip();  // return [2, 0], Since [1,0] was returned, [2,0] and [0,0]\nsolution.flip();  // return [0, 0], Based on the previously returned indices, only [0,0] can be returned.\nsolution.reset(); // All the values are reset to 0 and can be returned.\nsolution.flip();  // return [2, 0], [0,0], [1,0], and [2,0] should be equally likely to be returned.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "随机翻转矩阵", "translatedContent": "

给你一个 m x n 的二元矩阵 matrix ,且所有值被初始化为 0 。请你设计一个算法,随机选取一个满足 matrix[i][j] == 0 的下标 (i, j) ,并将它的值变为 1 。所有满足 matrix[i][j] == 0 的下标 (i, j) 被选取的概率应当均等。

\n\n

尽量最少调用内置的随机函数,并且优化时间和空间复杂度。

\n\n

实现 Solution 类:

\n\n\n\n

 

\n\n

示例:

\n\n
\n输入\n[\"Solution\", \"flip\", \"flip\", \"flip\", \"reset\", \"flip\"]\n[[3, 1], [], [], [], [], []]\n输出\n[null, [1, 0], [2, 0], [0, 0], null, [2, 0]]\n\n解释\nSolution solution = new Solution(3, 1);\nsolution.flip();  // 返回 [1, 0],此时返回 [0,0]、[1,0] 和 [2,0] 的概率应当相同\nsolution.flip();  // 返回 [2, 0],因为 [1,0] 已经返回过了,此时返回 [2,0] 和 [0,0] 的概率应当相同\nsolution.flip();  // 返回 [0, 0],根据前面已经返回过的下标,此时只能返回 [0,0]\nsolution.reset(); // 所有值都重置为 0 ,并可以再次选择下标返回\nsolution.flip();  // 返回 [2, 0],此时返回 [0,0]、[1,0] 和 [2,0] 的概率应当相同
\n\n

 

\n\n

提示:

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"translatedName": "随机化", "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n Solution(int m, int n) {\n\n }\n \n vector flip() {\n\n }\n \n void reset() {\n\n }\n};\n\n/**\n * Your Solution object will be instantiated and called as such:\n * Solution* obj = new Solution(m, n);\n * vector param_1 = obj->flip();\n * obj->reset();\n */", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n\n public Solution(int m, int n) {\n\n }\n \n public int[] flip() {\n\n }\n \n public void reset() {\n\n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * Solution obj = new Solution(m, n);\n * int[] param_1 = obj.flip();\n * obj.reset();\n */", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n\n def __init__(self, m, n):\n \"\"\"\n :type m: int\n :type n: int\n \"\"\"\n\n\n def flip(self):\n \"\"\"\n :rtype: List[int]\n \"\"\"\n\n\n def reset(self):\n \"\"\"\n :rtype: None\n \"\"\"\n\n\n\n# Your Solution object will be instantiated and called as such:\n# obj = Solution(m, n)\n# param_1 = obj.flip()\n# obj.reset()", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n\n def __init__(self, m: int, n: int):\n\n\n def flip(self) -> List[int]:\n\n\n def reset(self) -> None:\n\n\n\n# Your Solution object will be instantiated and called as such:\n# obj = Solution(m, n)\n# param_1 = obj.flip()\n# obj.reset()", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "\n\n\ntypedef struct {\n\n} Solution;\n\n\nSolution* solutionCreate(int m, int n) {\n\n}\n\nint* solutionFlip(Solution* obj, int* retSize) {\n\n}\n\nvoid solutionReset(Solution* obj) {\n\n}\n\nvoid solutionFree(Solution* obj) {\n\n}\n\n/**\n * Your Solution struct will be instantiated and called as such:\n * Solution* obj = solutionCreate(m, n);\n * int* param_1 = solutionFlip(obj, retSize);\n \n * solutionReset(obj);\n \n * solutionFree(obj);\n*/", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n\n public Solution(int m, int n) {\n\n }\n \n public int[] Flip() {\n\n }\n \n public void Reset() {\n\n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * Solution obj = new Solution(m, n);\n * int[] param_1 = obj.Flip();\n * obj.Reset();\n */", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number} m\n * @param {number} n\n */\nvar Solution = function(m, n) {\n\n};\n\n/**\n * @return {number[]}\n */\nSolution.prototype.flip = function() {\n\n};\n\n/**\n * @return {void}\n */\nSolution.prototype.reset = function() {\n\n};\n\n/**\n * Your Solution object will be instantiated and called as such:\n * var obj = new Solution(m, n)\n * var param_1 = obj.flip()\n * obj.reset()\n */", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "class Solution\n\n=begin\n :type m: Integer\n :type n: Integer\n=end\n def initialize(m, n)\n\n end\n\n\n=begin\n :rtype: Integer[]\n=end\n def flip()\n\n end\n\n\n=begin\n :rtype: Void\n=end\n def reset()\n\n end\n\n\nend\n\n# Your Solution object will be instantiated and called as such:\n# obj = Solution.new(m, n)\n# param_1 = obj.flip()\n# obj.reset()", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "\nclass Solution {\n\n init(_ m: Int, _ n: Int) {\n\n }\n \n func flip() -> [Int] {\n\n }\n \n func reset() {\n\n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * let obj = Solution(m, n)\n * let ret_1: [Int] = obj.flip()\n * obj.reset()\n */", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "type Solution struct {\n\n}\n\n\nfunc Constructor(m int, n int) Solution {\n\n}\n\n\nfunc (this *Solution) Flip() []int {\n\n}\n\n\nfunc (this *Solution) Reset() {\n\n}\n\n\n/**\n * Your Solution object will be instantiated and called as such:\n * obj := Constructor(m, n);\n * param_1 := obj.Flip();\n * obj.Reset();\n */", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "class Solution(_m: Int, _n: Int) {\n\n def flip(): Array[Int] = {\n\n }\n\n def reset() {\n\n }\n\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * var obj = new Solution(m, n)\n * var param_1 = obj.flip()\n * obj.reset()\n */", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution(m: Int, n: Int) {\n\n fun flip(): IntArray {\n\n }\n\n fun reset() {\n\n }\n\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * var obj = Solution(m, n)\n * var param_1 = obj.flip()\n * obj.reset()\n */", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "struct Solution {\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 Solution {\n\n fn new(m: i32, n: i32) -> Self {\n\n }\n \n fn flip(&self) -> Vec {\n\n }\n \n fn reset(&self) {\n\n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * let obj = Solution::new(m, n);\n * let ret_1: Vec = obj.flip();\n * obj.reset();\n */", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n /**\n * @param Integer $m\n * @param Integer $n\n */\n function __construct($m, $n) {\n\n }\n\n /**\n * @return Integer[]\n */\n function flip() {\n\n }\n\n /**\n * @return NULL\n */\n function reset() {\n\n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * $obj = Solution($m, $n);\n * $ret_1 = $obj->flip();\n * $obj->reset();\n */", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": 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\\u7248\\u672c\\uff1aScala 2.13<\\/code><\\/p>\"],\"kotlin\":[\"Kotlin\",\"

\\u7248\\u672c\\uff1aKotlin 1.3.10<\\/code><\\/p>\"],\"rust\":[\"Rust\",\"

\\u7248\\u672c\\uff1arust 1.58.1<\\/code><\\/p>\\r\\n\\r\\n

\\u652f\\u6301 crates.io \\u7684 rand<\\/a><\\/p>\"],\"php\":[\"PHP\",\"

PHP 8.1<\\/code>.<\\/p>\\r\\n\\r\\n

With bcmath module.<\\/p>\"],\"typescript\":[\"TypeScript\",\"

TypeScript 4.5.4<\\/p>\\r\\n\\r\\n

Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2020<\\/p>\"],\"racket\":[\"Racket\",\"

Racket CS<\\/a> v8.3<\\/p>\\r\\n\\r\\n

\\u4f7f\\u7528 #lang racket<\\/p>\\r\\n\\r\\n

\\u5df2\\u9884\\u5148 (require data\\/gvector data\\/queue data\\/order data\\/heap). \\u82e5\\u9700\\u4f7f\\u7528\\u5176\\u5b83\\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u53ef\\u81ea\\u884c require\\u3002<\\/p>\"],\"erlang\":[\"Erlang\",\"Erlang\\/OTP 24.2\"],\"elixir\":[\"Elixir\",\"Elixir 1.13.0 with Erlang\\/OTP 24.2\"]}", "book": null, "isSubscribed": false, "isDailyQuestion": false, "dailyRecordStatus": null, "editorType": "CKEDITOR", "ugcQuestionId": null, "style": "LEETCODE", "exampleTestcases": "[\"Solution\",\"flip\",\"flip\",\"flip\",\"reset\",\"flip\"]\n[[3,1],[],[],[],[],[]]", "__typename": "QuestionNode" } } }