{ "data": { "question": { "questionId": "1727", "questionFrontendId": "1728", "boundTopicId": null, "title": "Cat and Mouse II", "titleSlug": "cat-and-mouse-ii", "content": "

A game is played by a cat and a mouse named Cat and Mouse.

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The environment is represented by a grid of size rows x cols, where each element is a wall, floor, player (Cat, Mouse), or food.

\n\n\n\n

Mouse and Cat play according to the following rules:

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The game can end in 4 ways:

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Given a rows x cols matrix grid and two integers catJump and mouseJump, return true if Mouse can win the game if both Cat and Mouse play optimally, otherwise return false.

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Example 1:

\n\"\"\n
\nInput: grid = ["####F","#C...","M...."], catJump = 1, mouseJump = 2\nOutput: true\nExplanation: Cat cannot catch Mouse on its turn nor can it get the food before Mouse.\n
\n\n

Example 2:

\n\"\"\n
\nInput: grid = ["M.C...F"], catJump = 1, mouseJump = 4\nOutput: true\n
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Example 3:

\n\n
\nInput: grid = ["M.C...F"], catJump = 1, mouseJump = 3\nOutput: false\n
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\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Hard", "likes": 151, "dislikes": 27, "isLiked": null, "similarQuestions": "[{\"title\": \"Escape The Ghosts\", \"titleSlug\": \"escape-the-ghosts\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Cat and Mouse\", \"titleSlug\": \"cat-and-mouse\", \"difficulty\": \"Hard\", \"translatedTitle\": null}]", "exampleTestcases": "[\"####F\",\"#C...\",\"M....\"]\n1\n2\n[\"M.C...F\"]\n1\n4\n[\"M.C...F\"]\n1\n3", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Math", "slug": "math", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Dynamic Programming", "slug": "dynamic-programming", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Breadth-First Search", "slug": "breadth-first-search", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Graph", "slug": "graph", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Memoization", "slug": "memoization", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Game Theory", "slug": "game-theory", "translatedName": null, "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n bool canMouseWin(vector& grid, int catJump, int mouseJump) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public boolean canMouseWin(String[] grid, int catJump, int mouseJump) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def canMouseWin(self, grid, catJump, mouseJump):\n \"\"\"\n :type grid: List[str]\n :type catJump: int\n :type mouseJump: int\n :rtype: bool\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def canMouseWin(self, grid: List[str], catJump: int, mouseJump: int) -> bool:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "\n\nbool canMouseWin(char ** grid, int gridSize, int catJump, int mouseJump){\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public bool CanMouseWin(string[] grid, int catJump, int mouseJump) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {string[]} grid\n * @param {number} catJump\n * @param {number} mouseJump\n * @return {boolean}\n */\nvar canMouseWin = function(grid, catJump, mouseJump) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {String[]} grid\n# @param {Integer} cat_jump\n# @param {Integer} mouse_jump\n# @return {Boolean}\ndef can_mouse_win(grid, cat_jump, mouse_jump)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func canMouseWin(_ grid: [String], _ catJump: Int, _ mouseJump: Int) -> Bool {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func canMouseWin(grid []string, catJump int, mouseJump int) bool {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def canMouseWin(grid: Array[String], catJump: Int, mouseJump: Int): Boolean = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun canMouseWin(grid: Array, catJump: Int, mouseJump: Int): Boolean {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn can_mouse_win(grid: Vec, cat_jump: i32, mouse_jump: i32) -> bool {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param String[] $grid\n * @param Integer $catJump\n * @param Integer $mouseJump\n * @return Boolean\n */\n function canMouseWin($grid, $catJump, $mouseJump) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function canMouseWin(grid: string[], catJump: number, mouseJump: number): boolean {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (can-mouse-win grid catJump mouseJump)\n (-> (listof string?) exact-integer? exact-integer? boolean?)\n\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec can_mouse_win(Grid :: [unicode:unicode_binary()], CatJump :: integer(), MouseJump :: integer()) -> boolean().\ncan_mouse_win(Grid, CatJump, MouseJump) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec can_mouse_win(grid :: [String.t], cat_jump :: integer, mouse_jump :: integer) :: boolean\n def can_mouse_win(grid, cat_jump, mouse_jump) do\n\n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"4.6K\", \"totalSubmission\": \"11.2K\", \"totalAcceptedRaw\": 4642, \"totalSubmissionRaw\": 11242, \"acRate\": \"41.3%\"}", "hints": [ "Try working backward: consider all trivial states you know to be winning or losing, and work backward to determine which other states can be labeled as winning or losing." ], "solution": null, "status": null, "sampleTestCase": "[\"####F\",\"#C...\",\"M....\"]\n1\n2", "metaData": "{\n \"name\": \"canMouseWin\",\n \"params\": [\n {\n \"name\": \"grid\",\n \"type\": \"string[]\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"catJump\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"mouseJump\"\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 11 using the latest C++ 17 standard.

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

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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.

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

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

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Python 2.7.12.

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

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

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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.

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

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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:

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

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\\r\\n

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

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\\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

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

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

Node.js 16.13.2.

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

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lodash.js library is included by default.

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

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

Ruby 3.1

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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.

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

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

Python 3.10.

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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.

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Scala 2.13.7.

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Kotlin 1.3.10.

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Rust 1.58.1

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Supports rand v0.6\\u00a0from crates.io

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PHP 8.1.

\\r\\n

With bcmath module

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

TypeScript 4.5.4, Node.js 16.13.2.

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

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lodash.js library is included by default.

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Run with Racket 8.3.

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