{ "data": { "question": { "questionId": "3017", "questionFrontendId": "2827", "boundTopicId": null, "title": "Number of Beautiful Integers in the Range", "titleSlug": "number-of-beautiful-integers-in-the-range", "content": "

You are given positive integers low, high, and k.

\n\n

A number is beautiful if it meets both of the following conditions:

\n\n\n\n

Return the number of beautiful integers in the range [low, high].

\n\n

 

\n

Example 1:

\n\n
\nInput: low = 10, high = 20, k = 3\nOutput: 2\nExplanation: There are 2 beautiful integers in the given range: [12,18]. \n- 12 is beautiful because it contains 1 odd digit and 1 even digit, and is divisible by k = 3.\n- 18 is beautiful because it contains 1 odd digit and 1 even digit, and is divisible by k = 3.\nAdditionally we can see that:\n- 16 is not beautiful because it is not divisible by k = 3.\n- 15 is not beautiful because it does not contain equal counts even and odd digits.\nIt can be shown that there are only 2 beautiful integers in the given range.\n
\n\n

Example 2:

\n\n
\nInput: low = 1, high = 10, k = 1\nOutput: 1\nExplanation: There is 1 beautiful integer in the given range: [10].\n- 10 is beautiful because it contains 1 odd digit and 1 even digit, and is divisible by k = 1.\nIt can be shown that there is only 1 beautiful integer in the given range.\n
\n\n

Example 3:

\n\n
\nInput: low = 5, high = 5, k = 2\nOutput: 0\nExplanation: There are 0 beautiful integers in the given range.\n- 5 is not beautiful because it is not divisible by k = 2 and it does not contain equal even and odd digits.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Hard", "likes": 317, "dislikes": 24, "isLiked": null, "similarQuestions": "[]", "exampleTestcases": "10\n20\n3\n1\n10\n1\n5\n5\n2", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Math", "slug": "math", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Dynamic Programming", "slug": "dynamic-programming", "translatedName": null, "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n int numberOfBeautifulIntegers(int low, int high, int k) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public int numberOfBeautifulIntegers(int low, int high, int k) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def numberOfBeautifulIntegers(self, low, high, k):\n \"\"\"\n :type low: int\n :type high: int\n :type k: int\n :rtype: int\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def numberOfBeautifulIntegers(self, low: int, high: int, k: int) -> int:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "int numberOfBeautifulIntegers(int low, int high, int k){\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public int NumberOfBeautifulIntegers(int low, int high, int k) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number} low\n * @param {number} high\n * @param {number} k\n * @return {number}\n */\nvar numberOfBeautifulIntegers = function(low, high, k) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function numberOfBeautifulIntegers(low: number, high: number, k: number): number {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer $low\n * @param Integer $high\n * @param Integer $k\n * @return Integer\n */\n function numberOfBeautifulIntegers($low, $high, $k) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func numberOfBeautifulIntegers(_ low: Int, _ high: Int, _ k: Int) -> Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun numberOfBeautifulIntegers(low: Int, high: Int, k: Int): Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n int numberOfBeautifulIntegers(int low, int high, int k) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func numberOfBeautifulIntegers(low int, high int, k int) int {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer} low\n# @param {Integer} high\n# @param {Integer} k\n# @return {Integer}\ndef number_of_beautiful_integers(low, high, k)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def numberOfBeautifulIntegers(low: Int, high: Int, k: Int): Int = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn number_of_beautiful_integers(low: i32, high: i32, k: i32) -> i32 {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (number-of-beautiful-integers low high k)\n (-> exact-integer? exact-integer? exact-integer? exact-integer?)\n\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec number_of_beautiful_integers(Low :: integer(), High :: integer(), K :: integer()) -> integer().\nnumber_of_beautiful_integers(Low, High, K) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec number_of_beautiful_integers(low :: integer, high :: integer, k :: integer) :: integer\n def number_of_beautiful_integers(low, high, k) do\n\n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"7K\", \"totalSubmission\": \"41.5K\", \"totalAcceptedRaw\": 7044, \"totalSubmissionRaw\": 41494, \"acRate\": \"17.0%\"}", "hints": [ "
The intended solution uses Dynamic Programming.
", "
Let f(n) denote number of beautiful integers in the range [1…n] , then the answer is f(r) - f(l-1) .
" ], "solution": null, "status": null, "sampleTestCase": "10\n20\n3", "metaData": "{\n \"name\": \"numberOfBeautifulIntegers\",\n \"params\": [\n {\n \"name\": \"low\",\n \"type\": \"integer\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"high\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"k\"\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++ 20 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 gnu11 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

\"], \"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 5.3.0 version of datastructures-js/priority-queue and 4.2.1 version of 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 1.21

\\r\\n

Support https://godoc.org/github.com/emirpasic/gods@v1.18.1 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 1.9.0.

\"], \"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 5.1.6, Node.js 16.13.2.

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

Your code is run with --harmony flag, enabling new ES2022 features.

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

lodash.js library is included by default.

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

Run with Racket 8.3.

\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 25.0\"], \"elixir\": [\"Elixir\", \"Elixir 1.13.4 with Erlang/OTP 25.0\"], \"dart\": [\"Dart\", \"

Dart 2.17.3

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

Your code will be run directly without compiling

\"]}", "libraryUrl": null, "adminUrl": null, "challengeQuestion": null, "__typename": "QuestionNode" } } }