{ "data": { "question": { "questionId": "912", "questionFrontendId": "528", "boundTopicId": null, "title": "Random Pick with Weight", "titleSlug": "random-pick-with-weight", "content": "<p>You are given a <strong>0-indexed</strong> array of positive integers <code>w</code> where <code>w[i]</code> describes the <strong>weight</strong> of the <code>i<sup>th</sup></code> index.</p>\n\n<p>You need to implement the function <code>pickIndex()</code>, which <strong>randomly</strong> picks an index in the range <code>[0, w.length - 1]</code> (<strong>inclusive</strong>) and returns it. The <strong>probability</strong> of picking an index <code>i</code> is <code>w[i] / sum(w)</code>.</p>\n\n<ul>\n\t<li>For example, if <code>w = [1, 3]</code>, the probability of picking index <code>0</code> is <code>1 / (1 + 3) = 0.25</code> (i.e., <code>25%</code>), and the probability of picking index <code>1</code> is <code>3 / (1 + 3) = 0.75</code> (i.e., <code>75%</code>).</li>\n</ul>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input</strong>\n["Solution","pickIndex"]\n[[[1]],[]]\n<strong>Output</strong>\n[null,0]\n\n<strong>Explanation</strong>\nSolution solution = new Solution([1]);\nsolution.pickIndex(); // return 0. The only option is to return 0 since there is only one element in w.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input</strong>\n["Solution","pickIndex","pickIndex","pickIndex","pickIndex","pickIndex"]\n[[[1,3]],[],[],[],[],[]]\n<strong>Output</strong>\n[null,1,1,1,1,0]\n\n<strong>Explanation</strong>\nSolution solution = new Solution([1, 3]);\nsolution.pickIndex(); // return 1. It is returning the second element (index = 1) that has a probability of 3/4.\nsolution.pickIndex(); // return 1\nsolution.pickIndex(); // return 1\nsolution.pickIndex(); // return 1\nsolution.pickIndex(); // return 0. It is returning the first element (index = 0) that has a probability of 1/4.\n\nSince this is a randomization problem, multiple answers are allowed.\nAll of the following outputs can be considered correct:\n[null,1,1,1,1,0]\n[null,1,1,1,1,1]\n[null,1,1,1,0,0]\n[null,1,1,1,0,1]\n[null,1,0,1,0,0]\n......\nand so on.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= w.length <= 10<sup>4</sup></code></li>\n\t<li><code>1 <= w[i] <= 10<sup>5</sup></code></li>\n\t<li><code>pickIndex</code> will be called at most <code>10<sup>4</sup></code> times.</li>\n</ul>\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Medium", "likes": 627, "dislikes": 209, "isLiked": null, "similarQuestions": "[{\"title\": \"Random Pick Index\", \"titleSlug\": \"random-pick-index\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Random Pick with Blacklist\", \"titleSlug\": \"random-pick-with-blacklist\", \"difficulty\": \"Hard\", \"translatedTitle\": null}, {\"title\": \"Random Point in Non-overlapping Rectangles\", \"titleSlug\": \"random-point-in-non-overlapping-rectangles\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]", "exampleTestcases": "[\"Solution\",\"pickIndex\"]\n[[[1]],[]]\n[\"Solution\",\"pickIndex\",\"pickIndex\",\"pickIndex\",\"pickIndex\",\"pickIndex\"]\n[[[1,3]],[],[],[],[],[]]", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Math", "slug": "math", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Binary Search", "slug": "binary-search", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Prefix Sum", "slug": "prefix-sum", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Randomized", "slug": "randomized", "translatedName": null, "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n Solution(vector<int>& w) {\n \n }\n \n int pickIndex() {\n \n }\n};\n\n/**\n * Your Solution object will be instantiated and called as such:\n * Solution* obj = new Solution(w);\n * int param_1 = obj->pickIndex();\n */", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n\n public Solution(int[] w) {\n \n }\n \n public int pickIndex() {\n \n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * Solution obj = new Solution(w);\n * int param_1 = obj.pickIndex();\n */", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n\n def __init__(self, w):\n \"\"\"\n :type w: List[int]\n \"\"\"\n \n\n def pickIndex(self):\n \"\"\"\n :rtype: int\n \"\"\"\n \n\n\n# Your Solution object will be instantiated and called as such:\n# obj = Solution(w)\n# param_1 = obj.pickIndex()", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n\n def __init__(self, w: List[int]):\n \n\n def pickIndex(self) -> int:\n \n\n\n# Your Solution object will be instantiated and called as such:\n# obj = Solution(w)\n# param_1 = obj.pickIndex()", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "\n\n\ntypedef struct {\n \n} Solution;\n\n\nSolution* solutionCreate(int* w, int wSize) {\n \n}\n\nint solutionPickIndex(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(w, wSize);\n * int param_1 = solutionPickIndex(obj);\n \n * solutionFree(obj);\n*/", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n\n public Solution(int[] w) {\n \n }\n \n public int PickIndex() {\n \n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * Solution obj = new Solution(w);\n * int param_1 = obj.PickIndex();\n */", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number[]} w\n */\nvar Solution = function(w) {\n \n};\n\n/**\n * @return {number}\n */\nSolution.prototype.pickIndex = function() {\n \n};\n\n/** \n * Your Solution object will be instantiated and called as such:\n * var obj = new Solution(w)\n * var param_1 = obj.pickIndex()\n */", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "class Solution\n\n=begin\n :type w: Integer[]\n=end\n def initialize(w)\n \n end\n\n\n=begin\n :rtype: Integer\n=end\n def pick_index()\n \n end\n\n\nend\n\n# Your Solution object will be instantiated and called as such:\n# obj = Solution.new(w)\n# param_1 = obj.pick_index()", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "\nclass Solution {\n\n init(_ w: [Int]) {\n \n }\n \n func pickIndex() -> Int {\n \n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * let obj = Solution(w)\n * let ret_1: Int = obj.pickIndex()\n */", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "type Solution struct {\n \n}\n\n\nfunc Constructor(w []int) Solution {\n \n}\n\n\nfunc (this *Solution) PickIndex() int {\n \n}\n\n\n/**\n * Your Solution object will be instantiated and called as such:\n * obj := Constructor(w);\n * param_1 := obj.PickIndex();\n */", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "class Solution(_w: Array[Int]) {\n\n def pickIndex(): Int = {\n \n }\n\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * var obj = new Solution(w)\n * var param_1 = obj.pickIndex()\n */", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution(w: IntArray) {\n\n fun pickIndex(): Int {\n \n }\n\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * var obj = Solution(w)\n * var param_1 = obj.pickIndex()\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(w: Vec<i32>) -> Self {\n \n }\n \n fn pick_index(&self) -> i32 {\n \n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * let obj = Solution::new(w);\n * let ret_1: i32 = obj.pick_index();\n */", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n /**\n * @param Integer[] $w\n */\n function __construct($w) {\n \n }\n \n /**\n * @return Integer\n */\n function pickIndex() {\n \n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * $obj = Solution($w);\n * $ret_1 = $obj->pickIndex();\n */", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "class Solution {\n constructor(w: number[]) {\n\n }\n\n pickIndex(): number {\n\n }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * var obj = new Solution(w)\n * var param_1 = obj.pickIndex()\n */", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec solution_init_(W :: [integer()]) -> any().\nsolution_init_(W) ->\n .\n\n-spec solution_pick_index() -> integer().\nsolution_pick_index() ->\n .\n\n\n%% Your functions will be called as such:\n%% solution_init_(W),\n%% Param_1 = solution_pick_index(),\n\n%% solution_init_ will be called before every test case, in which you can do some necessary initializations.", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec init_(w :: [integer]) :: any\n def init_(w) do\n\n end\n\n @spec pick_index() :: integer\n def pick_index() do\n\n end\nend\n\n# Your functions will be called as such:\n# Solution.init_(w)\n# param_1 = 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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. 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