Generate Random Point in a Circle
<p>Given the radius and the position of the center of a circle, implement the function <code>randPoint</code> which generates a uniform random point inside the circle.</p>

<p>Implement the <code>Solution</code> class:</p>

<ul>
	<li><code>Solution(double radius, double x_center, double y_center)</code> initializes the object with the radius of the circle <code>radius</code> and the position of the center <code>(x_center, y_center)</code>.</li>
	<li><code>randPoint()</code> returns a random point inside the circle. A point on the circumference of the circle is considered to be in the circle. The answer is returned as an array <code>[x, y]</code>.</li>
</ul>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input</strong>
[&quot;Solution&quot;, &quot;randPoint&quot;, &quot;randPoint&quot;, &quot;randPoint&quot;]
[[1.0, 0.0, 0.0], [], [], []]
<strong>Output</strong>
[null, [-0.02493, -0.38077], [0.82314, 0.38945], [0.36572, 0.17248]]

<strong>Explanation</strong>
Solution solution = new Solution(1.0, 0.0, 0.0);
solution.randPoint(); // return [-0.02493, -0.38077]
solution.randPoint(); // return [0.82314, 0.38945]
solution.randPoint(); // return [0.36572, 0.17248]
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>0 &lt;&nbsp;radius &lt;= 10<sup>8</sup></code></li>
	<li><code>-10<sup>7</sup> &lt;= x_center, y_center &lt;= 10<sup>7</sup></code></li>
	<li>At most <code>3 * 10<sup>4</sup></code> calls will be made to <code>randPoint</code>.</li>
</ul>

['random-point-in-non-overlapping-rectangles']
[]
[{"value": "cpp", "text": "C++", "defaultCode": "class Solution {\npublic:\n    Solution(double radius, double x_center, double y_center) {\n        \n    }\n    \n    vector<double> randPoint() {\n        \n    }\n};\n\n/**\n * Your Solution object will be instantiated and called as such:\n * Solution* obj = new Solution(radius, x_center, y_center);\n * vector<double> param_1 = obj->randPoint();\n */"}, {"value": "java", "text": "Java", "defaultCode": "class Solution {\n\n    public Solution(double radius, double x_center, double y_center) {\n        \n    }\n    \n    public double[] randPoint() {\n        \n    }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * Solution obj = new Solution(radius, x_center, y_center);\n * double[] param_1 = obj.randPoint();\n */"}, {"value": "python", "text": "Python", "defaultCode": "class Solution(object):\n\n    def __init__(self, radius, x_center, y_center):\n        \"\"\"\n        :type radius: float\n        :type x_center: float\n        :type y_center: float\n        \"\"\"\n        \n\n    def randPoint(self):\n        \"\"\"\n        :rtype: List[float]\n        \"\"\"\n        \n\n\n# Your Solution object will be instantiated and called as such:\n# obj = Solution(radius, x_center, y_center)\n# param_1 = obj.randPoint()"}, {"value": "python3", "text": "Python3", "defaultCode": "class Solution:\n\n    def __init__(self, radius: float, x_center: float, y_center: float):\n        \n\n    def randPoint(self) -> List[float]:\n        \n\n\n# Your Solution object will be instantiated and called as such:\n# obj = Solution(radius, x_center, y_center)\n# param_1 = obj.randPoint()"}, {"value": "c", "text": "C", "defaultCode": "\n\n\ntypedef struct {\n    \n} Solution;\n\n\nSolution* solutionCreate(double radius, double x_center, double y_center) {\n    \n}\n\ndouble* solutionRandPoint(Solution* obj, int* retSize) {\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(radius, x_center, y_center);\n * double* param_1 = solutionRandPoint(obj, retSize);\n \n * solutionFree(obj);\n*/"}, {"value": "csharp", "text": "C#", "defaultCode": "public class Solution {\n\n    public Solution(double radius, double x_center, double y_center) {\n        \n    }\n    \n    public double[] RandPoint() {\n        \n    }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * Solution obj = new Solution(radius, x_center, y_center);\n * double[] param_1 = obj.RandPoint();\n */"}, {"value": "javascript", "text": "JavaScript", "defaultCode": "/**\n * @param {number} radius\n * @param {number} x_center\n * @param {number} y_center\n */\nvar Solution = function(radius, x_center, y_center) {\n    \n};\n\n/**\n * @return {number[]}\n */\nSolution.prototype.randPoint = function() {\n    \n};\n\n/** \n * Your Solution object will be instantiated and called as such:\n * var obj = new Solution(radius, x_center, y_center)\n * var param_1 = obj.randPoint()\n */"}, {"value": "typescript", "text": "TypeScript", "defaultCode": "class Solution {\n    constructor(radius: number, x_center: number, y_center: number) {\n        \n    }\n\n    randPoint(): number[] {\n        \n    }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * var obj = new Solution(radius, x_center, y_center)\n * var param_1 = obj.randPoint()\n */"}, {"value": "php", "text": "PHP", "defaultCode": "class Solution {\n    /**\n     * @param Float $radius\n     * @param Float $x_center\n     * @param Float $y_center\n     */\n    function __construct($radius, $x_center, $y_center) {\n        \n    }\n  \n    /**\n     * @return Float[]\n     */\n    function randPoint() {\n        \n    }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * $obj = Solution($radius, $x_center, $y_center);\n * $ret_1 = $obj->randPoint();\n */"}, {"value": "swift", "text": "Swift", "defaultCode": "\nclass Solution {\n\n    init(_ radius: Double, _ x_center: Double, _ y_center: Double) {\n        \n    }\n    \n    func randPoint() -> [Double] {\n        \n    }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * let obj = Solution(radius, x_center, y_center)\n * let ret_1: [Double] = obj.randPoint()\n */"}, {"value": "kotlin", "text": "Kotlin", "defaultCode": "class Solution(radius: Double, x_center: Double, y_center: Double) {\n\n    fun randPoint(): DoubleArray {\n        \n    }\n\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * var obj = Solution(radius, x_center, y_center)\n * var param_1 = obj.randPoint()\n */"}, {"value": "dart", "text": "Dart", "defaultCode": "class Solution {\n\n  Solution(double radius, double x_center, double y_center) {\n    \n  }\n  \n  List<double> randPoint() {\n    \n  }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * Solution obj = Solution(radius, x_center, y_center);\n * List<double> param1 = obj.randPoint();\n */"}, {"value": "golang", "text": "Go", "defaultCode": "type Solution struct {\n    \n}\n\n\nfunc Constructor(radius float64, x_center float64, y_center float64) Solution {\n    \n}\n\n\nfunc (this *Solution) RandPoint() []float64 {\n    \n}\n\n\n/**\n * Your Solution object will be instantiated and called as such:\n * obj := Constructor(radius, x_center, y_center);\n * param_1 := obj.RandPoint();\n */"}, {"value": "ruby", "text": "Ruby", "defaultCode": "class Solution\n\n=begin\n    :type radius: Float\n    :type x_center: Float\n    :type y_center: Float\n=end\n    def initialize(radius, x_center, y_center)\n        \n    end\n\n\n=begin\n    :rtype: Float[]\n=end\n    def rand_point()\n        \n    end\n\n\nend\n\n# Your Solution object will be instantiated and called as such:\n# obj = Solution.new(radius, x_center, y_center)\n# param_1 = obj.rand_point()"}, {"value": "scala", "text": "Scala", "defaultCode": "class Solution(_radius: Double, _x_center: Double, _y_center: Double) {\n\n    def randPoint(): Array[Double] = {\n        \n    }\n\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * val obj = new Solution(radius, x_center, y_center)\n * val param_1 = obj.randPoint()\n */"}, {"value": "rust", "text": "Rust", "defaultCode": "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(radius: f64, x_center: f64, y_center: f64) -> Self {\n        \n    }\n    \n    fn rand_point(&self) -> Vec<f64> {\n        \n    }\n}\n\n/**\n * Your Solution object will be instantiated and called as such:\n * let obj = Solution::new(radius, x_center, y_center);\n * let ret_1: Vec<f64> = obj.rand_point();\n */"}, {"value": "racket", "text": "Racket", "defaultCode": "(define solution%\n  (class object%\n    (super-new)\n    \n    ; radius : flonum?\n    ; x_center : flonum?\n    ; y_center : flonum?\n    (init-field\n      radius\n      x_center\n      y_center)\n    \n    ; rand-point : -> (listof flonum?)\n    (define/public (rand-point)\n      )))\n\n;; Your solution% object will be instantiated and called as such:\n;; (define obj (new solution% [radius radius] [x_center x_center] [y_center y_center]))\n;; (define param_1 (send obj rand-point))"}, {"value": "erlang", "text": "Erlang", "defaultCode": "-spec solution_init_(Radius :: float(), X_center :: float(), Y_center :: float()) -> any().\nsolution_init_(Radius, X_center, Y_center) ->\n  .\n\n-spec solution_rand_point() -> [float()].\nsolution_rand_point() ->\n  .\n\n\n%% Your functions will be called as such:\n%% solution_init_(Radius, X_center, Y_center),\n%% Param_1 = solution_rand_point(),\n\n%% solution_init_ will be called before every test case, in which you can do some necessary initializations."}, {"value": "elixir", "text": "Elixir", "defaultCode": "defmodule Solution do\n  @spec init_(radius :: float, x_center :: float, y_center :: float) :: any\n  def init_(radius, x_center, y_center) do\n    \n  end\n\n  @spec rand_point() :: [float]\n  def rand_point() do\n    \n  end\nend\n\n# Your functions will be called as such:\n# Solution.init_(radius, x_center, y_center)\n# param_1 = Solution.rand_point()\n\n# Solution.init_ will be called before every test case, in which you can do some necessary initializations."}]
{
    "classname": "Solution",
    "maxbytesperline": 200000,
    "constructor": {
        "params": [
            {
                "name": "radius",
                "type": "double"
            },
            {
                "name": "x_center",
                "type": "double"
            },
            {
                "name": "y_center",
                "type": "double"
            }
        ]
    },
    "methods": [
        {
            "name" : "randPoint",
            "params": [
            ],
            "return": {
                "type": "double[]"
            }
        }
    ],
    "systemdesign": true,
    "params": [
        {
            "name": "inputs",
            "type": "integer[]"
        },
        {
            "name": "inputs",
            "type": "integer[]"
        }
    ],
    "return": {
        "type": "list<String>",
        "dealloc": true
    }
}
{"cpp": ["C++", "<p>Compiled with <code> clang 19 </code> using the latest C++ 23 standard, and <code>libstdc++</code> provided by GCC 14.</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 21</code>. Using compile arguments: <code>--enable-preview --release 21</code></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 2.7.18</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\">is not maintained anymore</a>. For the latest Python, please choose Python3 instead.</p>"], "c": ["C", "<p>Compiled with <code>gcc 14</code> using the gnu11 standard.</p>\r\n\r\n<p>Your code is compiled with level one 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>\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://learn.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-13\" target=\"_blank\">C# 13</a> with .NET 9 runtime</p>"], "javascript": ["JavaScript", "<p><code>Node.js 22.14.0</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 6.3.2 version of <a href=\"https://github.com/datastructures-js/priority-queue/tree/v6.3.2\" target=\"_blank\">datastructures-js/priority-queue</a> and 4.2.3 version of <a href=\"https://github.com/datastructures-js/queue/tree/v4.2.3\" target=\"_blank\">datastructures-js/queue</a> and 1.0.4 version of <a href=\"https://github.com/datastructures-js/deque/tree/v1.0.4\" target=\"_blank\">datastructures-js/deque</a>.</p>"], "ruby": ["Ruby", "<p><code>Ruby 3.2</code></p>\r\n\r\n<p>Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms</p>"], "swift": ["Swift", "<p><code>Swift 6.0</code>.</p>\r\n\r\n<p>You may use the following packages:<br/>\r\n<a href=\"https://github.com/apple/swift-algorithms/tree/1.2.0\" target=\"_blank\">swift-algorithms 1.2.0</a><br/>\r\n<a href=\"https://github.com/apple/swift-collections/tree/1.1.4\" target=\"_blank\">swift-collections 1.1.4</a><br/>\r\n<a href=\"https://github.com/apple/swift-numerics/tree/1.0.2\" target=\"_blank\">swift-numerics 1.0.2</a></p>"], "golang": ["Go", "<p><code>Go 1.23</code></p>\r\n<p>Support <a href=\"https://pkg.go.dev/github.com/emirpasic/gods@v1.18.1\" target=\"_blank\">https://pkg.go.dev/github.com/emirpasic/gods@v1.18.1</a> and <a href=\"https://pkg.go.dev/github.com/emirpasic/gods/v2@v2.0.0-alpha\" target=\"_blank\">https://pkg.go.dev/github.com/emirpasic/gods/v2@v2.0.0-alpha</a> library.</p>"], "python3": ["Python3", "<p><code>Python 3.11</code>.</p>\r\n\r\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\"https://docs.python.org/3/library/array.html\" target=\"_blank\">array</a>, <a href=\"https://docs.python.org/3/library/bisect.html\" target=\"_blank\">bisect</a>, <a href=\"https://docs.python.org/3/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>"], "scala": ["Scala", "<p><code>Scala 3.3.1</code>.</p>"], "kotlin": ["Kotlin", "<p><code>Kotlin 2.1.10</code>.</p>"], "rust": ["Rust", "<p><code>Rust 1.85.0</code>. Your code will be compiled with <code>opt-level</code> 2.</p>\r\n\r\n<p>Supports <a href=\"https://crates.io/crates/rand\" target=\"_blank\">rand v0.8</a> and <a href=\"https://crates.io/crates/regex\" target=\"_blank\">regex\u00a0v1</a> and <a href=\"https://crates.io/crates/itertools\" target=\"_blank\">itertools\u00a0v0.14</a> from crates.io</p>"], "php": ["PHP", "<p><code>PHP 8.2</code>.</p>\r\n<p>With bcmath module</p>"], "typescript": ["Typescript", "<p><code>TypeScript 5.7.3, Node.js 22.14.0</code>.</p>\r\n\r\n<p>Compile Options: <code>--alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2024</code></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 6.3.2 version of <a href=\"https://github.com/datastructures-js/priority-queue/tree/v6.3.2\" target=\"_blank\">datastructures-js/priority-queue</a> and 4.2.3 version of <a href=\"https://github.com/datastructures-js/queue/tree/v4.2.3\" target=\"_blank\">datastructures-js/queue</a> and 1.0.4 version of <a href=\"https://github.com/datastructures-js/deque/tree/v1.0.4\" target=\"_blank\">datastructures-js/deque</a>.</p>"], "racket": ["Racket", "<p><a href=\"https://docs.racket-lang.org/guide/performance.html#%28tech._c%29\" target=\"_blank\">Racket CS</a> v8.15</p>\r\n\r\n<p>Using <code>#lang racket</code></p>\r\n\r\n<p>Required <code>data/gvector data/queue data/order data/heap</code> automatically for your convenience</p>"], "erlang": ["Erlang", "Erlang/OTP 26"], "elixir": ["Elixir", "Elixir 1.17 with Erlang/OTP 26"], "dart": ["Dart", "<p>Dart 3.2. You may use package <a href=\"https://pub.dev/packages/collection/versions/1.18.0\" target=\"_blank\">collection</a></p>\r\n\r\n<p>Your code will be run directly without compiling</p>"]}
['Math', 'Geometry', 'Rejection Sampling', 'Randomized']