{ "data": { "question": { "questionId": "2333", "questionFrontendId": "2250", "boundTopicId": null, "title": "Count Number of Rectangles Containing Each Point", "titleSlug": "count-number-of-rectangles-containing-each-point", "content": "

You are given a 2D integer array rectangles where rectangles[i] = [li, hi] indicates that ith rectangle has a length of li and a height of hi. You are also given a 2D integer array points where points[j] = [xj, yj] is a point with coordinates (xj, yj).

\n\n

The ith rectangle has its bottom-left corner point at the coordinates (0, 0) and its top-right corner point at (li, hi).

\n\n

Return an integer array count of length points.length where count[j] is the number of rectangles that contain the jth point.

\n\n

The ith rectangle contains the jth point if 0 <= xj <= li and 0 <= yj <= hi. Note that points that lie on the edges of a rectangle are also considered to be contained by that rectangle.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: rectangles = [[1,2],[2,3],[2,5]], points = [[2,1],[1,4]]\nOutput: [2,1]\nExplanation: \nThe first rectangle contains no points.\nThe second rectangle contains only the point (2, 1).\nThe third rectangle contains the points (2, 1) and (1, 4).\nThe number of rectangles that contain the point (2, 1) is 2.\nThe number of rectangles that contain the point (1, 4) is 1.\nTherefore, we return [2, 1].\n
\n\n

Example 2:

\n\"\"\n
\nInput: rectangles = [[1,1],[2,2],[3,3]], points = [[1,3],[1,1]]\nOutput: [1,3]\nExplanation:\nThe first rectangle contains only the point (1, 1).\nThe second rectangle contains only the point (1, 1).\nThe third rectangle contains the points (1, 3) and (1, 1).\nThe number of rectangles that contain the point (1, 3) is 1.\nThe number of rectangles that contain the point (1, 1) is 3.\nTherefore, we return [1, 3].\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Medium", "likes": 226, "dislikes": 88, "isLiked": null, "similarQuestions": "[{\"title\": \"Queries on Number of Points Inside a Circle\", \"titleSlug\": \"queries-on-number-of-points-inside-a-circle\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]", "exampleTestcases": "[[1,2],[2,3],[2,5]]\n[[2,1],[1,4]]\n[[1,1],[2,2],[3,3]]\n[[1,3],[1,1]]", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Array", "slug": "array", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Binary Search", "slug": "binary-search", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Binary Indexed Tree", "slug": "binary-indexed-tree", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Sorting", "slug": "sorting", "translatedName": null, "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n vector countRectangles(vector>& rectangles, vector>& points) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public int[] countRectangles(int[][] rectangles, int[][] points) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def countRectangles(self, rectangles, points):\n \"\"\"\n :type rectangles: List[List[int]]\n :type points: List[List[int]]\n :rtype: List[int]\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def countRectangles(self, rectangles: List[List[int]], points: List[List[int]]) -> List[int]:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "\n\n/**\n * Note: The returned array must be malloced, assume caller calls free().\n */\nint* countRectangles(int** rectangles, int rectanglesSize, int* rectanglesColSize, int** points, int pointsSize, int* pointsColSize, int* returnSize){\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public int[] CountRectangles(int[][] rectangles, int[][] points) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number[][]} rectangles\n * @param {number[][]} points\n * @return {number[]}\n */\nvar countRectangles = function(rectangles, points) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[][]} rectangles\n# @param {Integer[][]} points\n# @return {Integer[]}\ndef count_rectangles(rectangles, points)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func countRectangles(_ rectangles: [[Int]], _ points: [[Int]]) -> [Int] {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func countRectangles(rectangles [][]int, points [][]int) []int {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def countRectangles(rectangles: Array[Array[Int]], points: Array[Array[Int]]): Array[Int] = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun countRectangles(rectangles: Array, points: Array): IntArray {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn count_rectangles(rectangles: Vec>, points: Vec>) -> Vec {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer[][] $rectangles\n * @param Integer[][] $points\n * @return Integer[]\n */\n function countRectangles($rectangles, $points) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function countRectangles(rectangles: number[][], points: number[][]): number[] {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (count-rectangles rectangles points)\n (-> (listof (listof exact-integer?)) (listof (listof exact-integer?)) (listof exact-integer?))\n\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec count_rectangles(Rectangles :: [[integer()]], Points :: [[integer()]]) -> [integer()].\ncount_rectangles(Rectangles, Points) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec count_rectangles(rectangles :: [[integer]], points :: [[integer]]) :: [integer]\n def count_rectangles(rectangles, points) do\n\n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"6.8K\", \"totalSubmission\": \"22K\", \"totalAcceptedRaw\": 6827, \"totalSubmissionRaw\": 21983, \"acRate\": \"31.1%\"}", "hints": [ "The heights of the rectangles and the y-coordinates of the points are only at most 100, so for each point, we can iterate over the possible heights of the rectangles that contain a given point.", "For a given point and height, can we efficiently count how many rectangles with that height contain our point?", "Sort the rectangles at each height and use binary search." ], "solution": null, "status": null, "sampleTestCase": "[[1,2],[2,3],[2,5]]\n[[2,1],[1,4]]", "metaData": "{\n \"name\": \"countRectangles\",\n \"params\": [\n {\n \"name\": \"rectangles\",\n \"type\": \"integer[][]\"\n },\n {\n \"type\": \"integer[][]\",\n \"name\": \"points\"\n }\n ],\n \"return\": {\n \"type\": \"integer[]\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "enableTestMode": false, "enableDebugger": true, "envInfo": "{\"cpp\": [\"C++\", \"

Compiled with clang 11 using the latest C++ 17 standard.

\\r\\n\\r\\n

Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\"], \"java\": [\"Java\", \"

OpenJDK 17 . Java 8 features such as lambda expressions and stream API can be used.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\\r\\n

Includes Pair class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.

\"], \"python\": [\"Python\", \"

Python 2.7.12.

\\r\\n\\r\\n

Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

\\r\\n\\r\\n

For Map/TreeMap data structure, you may use sortedcontainers library.

\\r\\n\\r\\n

Note that Python 2.7 will not be maintained past 2020. For the latest Python, please choose Python3 instead.

\"], \"c\": [\"C\", \"

Compiled with gcc 8.2 using the gnu99 standard.

\\r\\n\\r\\n

Your code is compiled with level one optimization (-O1). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\\r\\n\\r\\n

For hash table operations, you may use uthash. \\\"uthash.h\\\" is included by default. Below are some examples:

\\r\\n\\r\\n

1. Adding an item to a hash.\\r\\n

\\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
\\r\\n

\\r\\n\\r\\n

2. Looking up an item in a hash:\\r\\n

\\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
\\r\\n

\\r\\n\\r\\n

3. Deleting an item in a hash:\\r\\n

\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n    HASH_DEL(users, user);  \\r\\n}\\r\\n
\\r\\n

\"], \"csharp\": [\"C#\", \"

C# 10 with .NET 6 runtime

\\r\\n\\r\\n

Your code is compiled with debug flag enabled (/debug).

\"], \"javascript\": [\"JavaScript\", \"

Node.js 16.13.2.

\\r\\n\\r\\n

Your code is run with --harmony flag, enabling new ES6 features.

\\r\\n\\r\\n

lodash.js library is included by default.

\\r\\n\\r\\n

For Priority Queue / Queue data structures, you may use datastructures-js/priority-queue and datastructures-js/queue.

\"], \"ruby\": [\"Ruby\", \"

Ruby 3.1

\\r\\n\\r\\n

Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms

\"], \"swift\": [\"Swift\", \"

Swift 5.5.2.

\"], \"golang\": [\"Go\", \"

Go 1.17.6.

\\r\\n\\r\\n

Support https://godoc.org/github.com/emirpasic/gods library.

\"], \"python3\": [\"Python3\", \"

Python 3.10.

\\r\\n\\r\\n

Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

\\r\\n\\r\\n

For Map/TreeMap data structure, you may use sortedcontainers library.

\"], \"scala\": [\"Scala\", \"

Scala 2.13.7.

\"], \"kotlin\": [\"Kotlin\", \"

Kotlin 1.3.10.

\"], \"rust\": [\"Rust\", \"

Rust 1.58.1

\\r\\n\\r\\n

Supports rand v0.6\\u00a0from crates.io

\"], \"php\": [\"PHP\", \"

PHP 8.1.

\\r\\n

With bcmath module

\"], \"typescript\": [\"Typescript\", \"

TypeScript 4.5.4, Node.js 16.13.2.

\\r\\n\\r\\n

Your code is run with --harmony flag, enabling new ES2020 features.

\\r\\n\\r\\n

lodash.js library is included by default.

\"], \"racket\": [\"Racket\", \"

Run with Racket 8.3.

\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 24.2\"], \"elixir\": [\"Elixir\", \"Elixir 1.13.0 with Erlang/OTP 24.2\"]}", "libraryUrl": null, "adminUrl": null, "challengeQuestion": null, "__typename": "QuestionNode" } } }