{ "data": { "question": { "questionId": "63", "questionFrontendId": "63", "categoryTitle": "Algorithms", "boundTopicId": 1514, "title": "Unique Paths II", "titleSlug": "unique-paths-ii", "content": "

You are given an m x n integer array grid. There is a robot initially located at the top-left corner (i.e., grid[0][0]). The robot tries to move to the bottom-right corner (i.e., grid[m - 1][n - 1]). The robot can only move either down or right at any point in time.

\n\n

An obstacle and space are marked as 1 or 0 respectively in grid. A path that the robot takes cannot include any square that is an obstacle.

\n\n

Return the number of possible unique paths that the robot can take to reach the bottom-right corner.

\n\n

The testcases are generated so that the answer will be less than or equal to 2 * 109.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: obstacleGrid = [[0,0,0],[0,1,0],[0,0,0]]\nOutput: 2\nExplanation: There is one obstacle in the middle of the 3x3 grid above.\nThere are two ways to reach the bottom-right corner:\n1. Right -> Right -> Down -> Down\n2. Down -> Down -> Right -> Right\n
\n\n

Example 2:

\n\"\"\n
\nInput: obstacleGrid = [[0,1],[0,0]]\nOutput: 1\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "不同路径 II", "translatedContent": "

一个机器人位于一个 m x n 网格的左上角 (起始点在下图中标记为 “Start” )。

\n\n

机器人每次只能向下或者向右移动一步。机器人试图达到网格的右下角(在下图中标记为 “Finish”)。

\n\n

现在考虑网格中有障碍物。那么从左上角到右下角将会有多少条不同的路径?

\n\n

网格中的障碍物和空位置分别用 10 来表示。

\n\n

 

\n\n

示例 1:

\n\"\"\n
\n输入:obstacleGrid = [[0,0,0],[0,1,0],[0,0,0]]\n输出:2\n解释:3x3 网格的正中间有一个障碍物。\n从左上角到右下角一共有 2 条不同的路径:\n1. 向右 -> 向右 -> 向下 -> 向下\n2. 向下 -> 向下 -> 向右 -> 向右\n
\n\n

示例 2:

\n\"\"\n
\n输入:obstacleGrid = [[0,1],[0,0]]\n输出:1\n
\n\n

 

\n\n

提示:

\n\n\n", "isPaidOnly": false, "difficulty": "Medium", "likes": 1186, "dislikes": 0, "isLiked": null, "similarQuestions": "[{\"title\": \"Unique Paths\", \"titleSlug\": \"unique-paths\", \"difficulty\": \"Medium\", \"translatedTitle\": \"\\u4e0d\\u540c\\u8def\\u5f84\", \"isPaidOnly\": false}, {\"title\": \"Unique Paths III\", \"titleSlug\": \"unique-paths-iii\", \"difficulty\": \"Hard\", \"translatedTitle\": \"\\u4e0d\\u540c\\u8def\\u5f84 III\", \"isPaidOnly\": false}]", "contributors": [], "langToValidPlayground": "{\"cpp\": false, \"java\": true, \"python\": true, \"python3\": false, \"mysql\": false, \"mssql\": false, \"oraclesql\": false, \"c\": false, \"csharp\": false, \"javascript\": false, \"typescript\": false, \"bash\": false, \"php\": false, \"swift\": false, \"kotlin\": false, \"dart\": false, \"golang\": false, \"ruby\": false, \"scala\": false, \"html\": false, \"pythonml\": false, \"rust\": false, \"racket\": false, \"erlang\": false, \"elixir\": false, \"pythondata\": 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"CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def uniquePathsWithObstacles(self, obstacleGrid: List[List[int]]) -> int:", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "int uniquePathsWithObstacles(int** obstacleGrid, int obstacleGridSize, int* obstacleGridColSize) {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public int UniquePathsWithObstacles(int[][] obstacleGrid) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number[][]} obstacleGrid\n * @return {number}\n */\nvar uniquePathsWithObstacles = function(obstacleGrid) {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function uniquePathsWithObstacles(obstacleGrid: number[][]): number {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer[][] $obstacleGrid\n * @return Integer\n */\n function uniquePathsWithObstacles($obstacleGrid) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func uniquePathsWithObstacles(_ obstacleGrid: [[Int]]) -> Int {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun uniquePathsWithObstacles(obstacleGrid: Array): Int {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n int uniquePathsWithObstacles(List> obstacleGrid) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func uniquePathsWithObstacles(obstacleGrid [][]int) int {\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[][]} obstacle_grid\n# @return {Integer}\ndef unique_paths_with_obstacles(obstacle_grid)\n\nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def uniquePathsWithObstacles(obstacleGrid: Array[Array[Int]]): Int = {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn unique_paths_with_obstacles(obstacle_grid: Vec>) -> i32 {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (unique-paths-with-obstacles obstacleGrid)\n (-> (listof (listof exact-integer?)) exact-integer?)\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec unique_paths_with_obstacles(ObstacleGrid :: [[integer()]]) -> integer().\nunique_paths_with_obstacles(ObstacleGrid) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec unique_paths_with_obstacles(obstacle_grid :: 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