"content":"<p>You are given a stream of points on the X-Y plane. Design an algorithm that:</p>\n\n<ul>\n\t<li><strong>Adds</strong> new points from the stream into a data structure. <strong>Duplicate</strong> points are allowed and should be treated as different points.</li>\n\t<li>Given a query point, <strong>counts</strong> the number of ways to choose three points from the data structure such that the three points and the query point form an <strong>axis-aligned square</strong> with <strong>positive area</strong>.</li>\n</ul>\n\n<p>An <strong>axis-aligned square</strong> is a square whose edges are all the same length and are either parallel or perpendicular to the x-axis and y-axis.</p>\n\n<p>Implement the <code>DetectSquares</code> class:</p>\n\n<ul>\n\t<li><code>DetectSquares()</code> Initializes the object with an empty data structure.</li>\n\t<li><code>void add(int[] point)</code> Adds a new point <code>point = [x, y]</code> to the data structure.</li>\n\t<li><code>int count(int[] point)</code> Counts the number of ways to form <strong>axis-aligned squares</strong> with point <code>point = [x, y]</code> as described above.</li>\n</ul>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/09/01/image.png\" style=\"width: 869px; height: 504px;\" />\n<pre>\n<strong>Input</strong>\n["DetectSquares", "add", "add", "add", "count", "count", "add", "count"]\n[[], [[3, 10]], [[11, 2]], [[3, 2]], [[11, 10]], [[14, 8]], [[11, 2]], [[11, 10]]]\n<strong>Output</strong>\n[null, null, null, null, 1, 0, null, 2]\n\n<strong>Explanation</strong>\nDetectSquares detectSquares = new DetectSquares();\ndetectSquares.add([3, 10]);\ndetectSquares.add([11, 2]);\ndetectSquares.add([3, 2]);\ndetectSquares.count([11, 10]); // return 1. You can choose:\n // - The first, second, and third points\ndetectSquares.count([14, 8]); // return 0. The query point cannot form a square with any points in the data structure.\ndetectSquares.add([11, 2]); // Adding duplicate points is allowed.\ndetectSquares.count([11, 10]); // return 2. You can choose:\n // - The first, second, and third points\n // - The first, third, and fourth points\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>point.length == 2</code></li>\n\t<li><code>0 <= x, y <= 1000</code></li>\n\t<li>At most <code>3000</code> calls <strong>in total</strong> will be made to <code>add</code> and <code>count</code>.</li>\n</ul>\n",
"code":"class DetectSquares {\npublic:\n DetectSquares() {\n \n }\n \n void add(vector<int> point) {\n \n }\n \n int count(vector<int> point) {\n \n }\n};\n\n/**\n * Your DetectSquares object will be instantiated and called as such:\n * DetectSquares* obj = new DetectSquares();\n * obj->add(point);\n * int param_2 = obj->count(point);\n */",
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{
"lang":"Java",
"langSlug":"java",
"code":"class DetectSquares {\n\n public DetectSquares() {\n \n }\n \n public void add(int[] point) {\n \n }\n \n public int count(int[] point) {\n \n }\n}\n\n/**\n * Your DetectSquares object will be instantiated and called as such:\n * DetectSquares obj = new DetectSquares();\n * obj.add(point);\n * int param_2 = obj.count(point);\n */",
"__typename":"CodeSnippetNode"
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{
"lang":"Python",
"langSlug":"python",
"code":"class DetectSquares(object):\n\n def __init__(self):\n \n\n def add(self, point):\n \"\"\"\n :type point: List[int]\n :rtype: None\n \"\"\"\n \n\n def count(self, point):\n \"\"\"\n :type point: List[int]\n :rtype: int\n \"\"\"\n \n\n\n# Your DetectSquares object will be instantiated and called as such:\n# obj = DetectSquares()\n# obj.add(point)\n# param_2 = obj.count(point)",
"__typename":"CodeSnippetNode"
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{
"lang":"Python3",
"langSlug":"python3",
"code":"class DetectSquares:\n\n def __init__(self):\n \n\n def add(self, point: List[int]) -> None:\n \n\n def count(self, point: List[int]) -> int:\n \n\n\n# Your DetectSquares object will be instantiated and called as such:\n# obj = DetectSquares()\n# obj.add(point)\n# param_2 = obj.count(point)",
"__typename":"CodeSnippetNode"
},
{
"lang":"C",
"langSlug":"c",
"code":"\n\n\ntypedef struct {\n \n} DetectSquares;\n\n\nDetectSquares* detectSquaresCreate() {\n \n}\n\nvoid detectSquaresAdd(DetectSquares* obj, int* point, int pointSize) {\n \n}\n\nint detectSquaresCount(DetectSquares* obj, int* point, int pointSize) {\n \n}\n\nvoid detectSquaresFree(DetectSquares* obj) {\n \n}\n\n/**\n * Your DetectSquares struct will be instantiated and called as such:\n * DetectSquares* obj = detectSquaresCreate();\n * detectSquaresAdd(obj, point, pointSize);\n \n * int param_2 = detectSquaresCount(obj, point, pointSize);\n \n * detectSquaresFree(obj);\n*/",
"__typename":"CodeSnippetNode"
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{
"lang":"C#",
"langSlug":"csharp",
"code":"public class DetectSquares {\n\n public DetectSquares() {\n \n }\n \n public void Add(int[] point) {\n \n }\n \n public int Count(int[] point) {\n \n }\n}\n\n/**\n * Your DetectSquares object will be instantiated and called as such:\n * DetectSquares obj = new DetectSquares();\n * obj.Add(point);\n * int param_2 = obj.Count(point);\n */",
"__typename":"CodeSnippetNode"
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{
"lang":"JavaScript",
"langSlug":"javascript",
"code":"\nvar DetectSquares = function() {\n \n};\n\n/** \n * @param {number[]} point\n * @return {void}\n */\nDetectSquares.prototype.add = function(point) {\n \n};\n\n/** \n * @param {number[]} point\n * @return {number}\n */\nDetectSquares.prototype.count = function(point) {\n \n};\n\n/** \n * Your DetectSquares object will be instantiated and called as such:\n * var obj = new DetectSquares()\n * obj.add(point)\n * var param_2 = obj.count(point)\n */",
"__typename":"CodeSnippetNode"
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{
"lang":"Ruby",
"langSlug":"ruby",
"code":"class DetectSquares\n def initialize()\n \n end\n\n\n=begin\n :type point: Integer[]\n :rtype: Void\n=end\n def add(point)\n \n end\n\n\n=begin\n :type point: Integer[]\n :rtype: Integer\n=end\n def count(point)\n \n end\n\n\nend\n\n# Your DetectSquares object will be instantiated and called as such:\n# obj = DetectSquares.new()\n# obj.add(point)\n# param_2 = obj.count(point)",
"__typename":"CodeSnippetNode"
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{
"lang":"Swift",
"langSlug":"swift",
"code":"\nclass DetectSquares {\n\n init() {\n \n }\n \n func add(_ point: [Int]) {\n \n }\n \n func count(_ point: [Int]) -> Int {\n \n }\n}\n\n/**\n * Your DetectSquares object will be instantiated and called as such:\n * let obj = DetectSquares()\n * obj.add(point)\n * let ret_2: Int = obj.count(point)\n */",
"__typename":"CodeSnippetNode"
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{
"lang":"Go",
"langSlug":"golang",
"code":"type DetectSquares struct {\n \n}\n\n\nfunc Constructor() DetectSquares {\n \n}\n\n\nfunc (this *DetectSquares) Add(point []int) {\n \n}\n\n\nfunc (this *DetectSquares) Count(point []int) int {\n \n}\n\n\n/**\n * Your DetectSquares object will be instantiated and called as such:\n * obj := Constructor();\n * obj.Add(point);\n * param_2 := obj.Count(point);\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Scala",
"langSlug":"scala",
"code":"class DetectSquares() {\n\n def add(point: Array[Int]) {\n \n }\n\n def count(point: Array[Int]): Int = {\n \n }\n\n}\n\n/**\n * Your DetectSquares object will be instantiated and called as such:\n * var obj = new DetectSquares()\n * obj.add(point)\n * var param_2 = obj.count(point)\n */",
"__typename":"CodeSnippetNode"
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{
"lang":"Kotlin",
"langSlug":"kotlin",
"code":"class DetectSquares() {\n\n fun add(point: IntArray) {\n \n }\n\n fun count(point: IntArray): Int {\n \n }\n\n}\n\n/**\n * Your DetectSquares object will be instantiated and called as such:\n * var obj = DetectSquares()\n * obj.add(point)\n * var param_2 = obj.count(point)\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Rust",
"langSlug":"rust",
"code":"struct DetectSquares {\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 DetectSquares {\n\n fn new() -> Self {\n \n }\n \n fn add(&self, point: Vec<i32>) {\n \n }\n \n fn count(&self, point: Vec<i32>) -> i32 {\n \n }\n}\n\n/**\n * Your DetectSquares object will be instantiated and called as such:\n * let obj = DetectSquares::new();\n * obj.add(point);\n * let ret_2: i32 = obj.count(point);\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"PHP",
"langSlug":"php",
"code":"class DetectSquares {\n /**\n */\n function __construct() {\n \n }\n \n /**\n * @param Integer[] $point\n * @return NULL\n */\n function add($point) {\n \n }\n \n /**\n * @param Integer[] $point\n * @return Integer\n */\n function count($point) {\n \n }\n}\n\n/**\n * Your DetectSquares object will be instantiated and called as such:\n * $obj = DetectSquares();\n * $obj->add($point);\n * $ret_2 = $obj->count($point);\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"TypeScript",
"langSlug":"typescript",
"code":"class DetectSquares {\n constructor() {\n\n }\n\n add(point: number[]): void {\n\n }\n\n count(point: number[]): number {\n\n }\n}\n\n/**\n * Your DetectSquares object will be instantiated and called as such:\n * var obj = new DetectSquares()\n * obj.add(point)\n * var param_2 = obj.count(point)\n */",
"__typename":"CodeSnippetNode"
},
{
"lang":"Racket",
"langSlug":"racket",
"code":"(define detect-squares%\n (class object%\n (super-new)\n (init-field)\n \n ; add : (listof exact-integer?) -> void?\n (define/public (add point)\n\n )\n ; count : (listof exact-integer?) -> exact-integer?\n (define/public (count point)\n\n )))\n\n;; Your detect-squares% object will be instantiated and called as such:\n;; (define obj (new detect-squares%))\n;; (send obj add point)\n;; (define param_2 (send obj count point))",
"__typename":"CodeSnippetNode"
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{
"lang":"Erlang",
"langSlug":"erlang",
"code":"-spec detect_squares_init_() -> any().\ndetect_squares_init_() ->\n .\n\n-spec detect_squares_add(Point :: [integer()]) -> any().\ndetect_squares_add(Point) ->\n .\n\n-spec detect_squares_count(Point :: [integer()]) -> integer().\ndetect_squares_count(Point) ->\n .\n\n\n%% Your functions will be called as such:\n%% detect_squares_init_(),\n%% detect_squares_add(Point),\n%% Param_2 = detect_squares_count(Point),\n\n%% detect_squares_init_ will be called before every test case, in which you can do some necessary initializations.",
"__typename":"CodeSnippetNode"
},
{
"lang":"Elixir",
"langSlug":"elixir",
"code":"defmodule DetectSquares do\n @spec init_() :: any\n def init_() do\n\n end\n\n @spec add(point :: [integer]) :: any\n def add(point) do\n\n end\n\n @spec count(point :: [integer]) :: integer\n def count(point) do\n\n end\nend\n\n# Your functions will be called as such:\n# DetectSquares.init_()\n# DetectSquares.add(point)\n# param_2 = DetectSquares.count(point)\n\n# DetectSquares.init_ will be called before every test case, in which you can do some necessary initializations.",
"Maintain the frequency of all the points in a hash map.",
"Traverse the hash map and if any point has the same y-coordinate as the query point, consider this point and the query point to form one of the horizontal lines of the square."
"envInfo":"{\"cpp\": [\"C++\", \"<p>Compiled with <code> clang 11 </code> using the latest C++ 17 standard.</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 17 </code>. Java 8 features such as lambda expressions and stream API can be used. </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 2.7.12</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\\\">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. 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://docs.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-9\\\" target=\\\"_blank\\\">C# 10 with .NET 6 runtime</a></p>\\r\\n\\r\\n<p>Your code is compiled with debug flag enabled (<code>/debug</code>).</p>\"], \"javascript\": [\"JavaScript\", \"<p><code>Node.js 16.13.2</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 <a href=\\\"https://github.com/datastructures-js/priority-queue\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and <a href=\\\"https:
