{ "data": { "question": { "questionId": "3625", "questionFrontendId": "3360", "boundTopicId": null, "title": "Stone Removal Game", "titleSlug": "stone-removal-game", "content": "

Alice and Bob are playing a game where they take turns removing stones from a pile, with Alice going first.

\n\n\n\n

The player who cannot make a move loses the game.

\n\n

Given a positive integer n, return true if Alice wins the game and false otherwise.

\n\n

 

\n

Example 1:

\n\n
\n

Input: n = 12

\n\n

Output: true

\n\n

Explanation:

\n\n\n
\n\n

Example 2:

\n\n
\n

Input: n = 1

\n\n

Output: false

\n\n

Explanation:

\n\n\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Easy", "likes": 34, "dislikes": 0, "isLiked": null, "similarQuestions": "[{\"title\": \"Stone Game IV\", \"titleSlug\": \"stone-game-iv\", \"difficulty\": \"Hard\", \"translatedTitle\": null}]", "exampleTestcases": "12\n1", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n bool canAliceWin(int n) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public boolean canAliceWin(int n) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def canAliceWin(self, n):\n \"\"\"\n :type n: int\n :rtype: bool\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def canAliceWin(self, n: int) -> bool:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "bool canAliceWin(int n) {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public bool CanAliceWin(int n) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number} n\n * @return {boolean}\n */\nvar canAliceWin = function(n) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function canAliceWin(n: number): boolean {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer $n\n * @return Boolean\n */\n function canAliceWin($n) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func canAliceWin(_ n: Int) -> Bool {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun canAliceWin(n: Int): Boolean {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n bool canAliceWin(int n) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func canAliceWin(n int) bool {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer} n\n# @return {Boolean}\ndef can_alice_win(n)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def canAliceWin(n: Int): Boolean = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn can_alice_win(n: i32) -> bool {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (can-alice-win n)\n (-> exact-integer? boolean?)\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec can_alice_win(N :: integer()) -> boolean().\ncan_alice_win(N) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec can_alice_win(n :: integer) :: boolean\n def can_alice_win(n) do\n \n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"19.9K\", \"totalSubmission\": \"48.8K\", \"totalAcceptedRaw\": 19856, \"totalSubmissionRaw\": 48807, \"acRate\": \"40.7%\"}", "hints": [ "The constraints are small enough that a brute-force solution is feasible." ], "solution": null, "status": null, "sampleTestCase": "12", "metaData": "{\n \"name\": \"canAliceWin\",\n \"params\": [\n {\n \"name\": \"n\",\n \"type\": \"integer\"\n }\n ],\n \"return\": {\n \"type\": \"boolean\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "enableTestMode": false, "enableDebugger": true, "envInfo": "{\"cpp\": [\"C++\", \"

Compiled with clang 19 using the latest C++ 23 standard, and libstdc++ provided by GCC 14.

\\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 21. Using compile arguments: --enable-preview --release 21

\\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 2.7.18.

\\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 is not maintained anymore. For the latest Python, please choose Python3 instead.

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

Compiled with gcc 14 using the gnu11 standard.

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

Your code is compiled with level one 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.

\\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# 12 with .NET 8 runtime

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

Node.js 20.10.0.

\\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 5.4.0 version of datastructures-js/priority-queue and 4.2.3 version of datastructures-js/queue and 1.0.4 version of datastructures-js/deque.

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

Ruby 3.2

\\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 5.10.

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

You may use swift-algorithms 1.2.0 and swift-collections 1.1.4.

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

Go 1.23

\\r\\n

Support https://pkg.go.dev/github.com/emirpasic/gods@v1.18.1 and https://pkg.go.dev/github.com/emirpasic/gods/v2@v2.0.0-alpha library.

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

Python 3.11.

\\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 3.3.1.

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

Kotlin 1.9.0.

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

We are using an experimental compiler provided by JetBrains.

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

Rust 1.79.0. Your code will be compiled with opt-level 2.

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

Supports rand v0.8 and regex\\u00a0v1 from crates.io

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

PHP 8.2.

\\r\\n

With bcmath module

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

TypeScript 5.1.6, Node.js 20.10.0.

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

Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2022

\\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.

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

For Priority Queue / Queue data structures, you may use 5.4.0 version of datastructures-js/priority-queue and 4.2.3 version of datastructures-js/queue and 1.0.4 version of datastructures-js/deque.

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

Racket CS v8.15

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

Using #lang racket

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

Required data/gvector data/queue data/order data/heap automatically for your convenience

\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 26\"], \"elixir\": [\"Elixir\", \"Elixir 1.17 with Erlang/OTP 26\"], \"dart\": [\"Dart\", \"

Dart 3.2. You may use package collection

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

Your code will be run directly without compiling

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