leetcode-problemset/leetcode-cn/originData/unique-paths-ii.json

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            "categoryTitle": "Algorithms",
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            "title": "Unique Paths II",
            "titleSlug": "unique-paths-ii",
            "content": "<p>You are given an <code>m x n</code> integer array <code>grid</code>. There is a robot initially located at the <b>top-left corner</b> (i.e., <code>grid[0][0]</code>). The robot tries to move to the <strong>bottom-right corner</strong> (i.e., <code>grid[m - 1][n - 1]</code>). The robot can only move either down or right at any point in time.</p>\n\n<p>An obstacle and space are marked as <code>1</code> or <code>0</code> respectively in <code>grid</code>. A path that the robot takes cannot include <strong>any</strong> square that is an obstacle.</p>\n\n<p>Return <em>the number of possible unique paths that the robot can take to reach the bottom-right corner</em>.</p>\n\n<p>The testcases are generated so that the answer will be less than or equal to <code>2 * 10<sup>9</sup></code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/04/robot1.jpg\" style=\"width: 242px; height: 242px;\" />\n<pre>\n<strong>Input:</strong> obstacleGrid = [[0,0,0],[0,1,0],[0,0,0]]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> There is one obstacle in the middle of the 3x3 grid above.\nThere are two ways to reach the bottom-right corner:\n1. Right -&gt; Right -&gt; Down -&gt; Down\n2. Down -&gt; Down -&gt; Right -&gt; Right\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/04/robot2.jpg\" style=\"width: 162px; height: 162px;\" />\n<pre>\n<strong>Input:</strong> obstacleGrid = [[0,1],[0,0]]\n<strong>Output:</strong> 1\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == obstacleGrid.length</code></li>\n\t<li><code>n == obstacleGrid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 100</code></li>\n\t<li><code>obstacleGrid[i][j]</code> is <code>0</code> or <code>1</code>.</li>\n</ul>\n",
            "translatedTitle": "不同路径 II",
            "translatedContent": "<p>一个机器人位于一个<meta charset=\"UTF-8\" />&nbsp;<code>m x n</code>&nbsp;网格的左上角 （起始点在下图中标记为 “Start” ）。</p>\n\n<p>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”）。</p>\n\n<p>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？</p>\n\n<p>网格中的障碍物和空位置分别用 <code>1</code> 和 <code>0</code> 来表示。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/04/robot1.jpg\" />\n<pre>\n<strong>输入：</strong>obstacleGrid = [[0,0,0],[0,1,0],[0,0,0]]\n<strong>输出：</strong>2\n<strong>解释：</strong>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 <code>2</code> 条不同的路径：\n1. 向右 -&gt; 向右 -&gt; 向下 -&gt; 向下\n2. 向下 -&gt; 向下 -&gt; 向右 -&gt; 向右\n</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/04/robot2.jpg\" />\n<pre>\n<strong>输入：</strong>obstacleGrid = [[0,1],[0,0]]\n<strong>输出：</strong>1\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>m ==&nbsp;obstacleGrid.length</code></li>\n\t<li><code>n ==&nbsp;obstacleGrid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 100</code></li>\n\t<li><code>obstacleGrid[i][j]</code> 为 <code>0</code> 或 <code>1</code></li>\n</ul>\n",
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                    "code": "class Solution {\npublic:\n    int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid) {\n\n    }\n};",
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            "hints": [
                "Use dynamic programming since, from each cell, you can move to the right or down.",
                "assume dp[i][j] is the number of unique paths to reach (i, j). dp[i][j] = dp[i][j -1] + dp[i - 1][j]. Be careful when you encounter an obstacle. set its value in dp to 0."
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