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leetcode-problemset/leetcode-cn/originData/unique-paths.json
2023-12-09 19:57:46 +08:00

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"questionId": "62",
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"categoryTitle": "Algorithms",
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"title": "Unique Paths",
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"content": "<p>There is a robot on an <code>m x n</code> grid. The robot is initially located at the <strong>top-left corner</strong> (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>Given the two integers <code>m</code> and <code>n</code>, 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 test cases 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 src=\"https://assets.leetcode.com/uploads/2018/10/22/robot_maze.png\" style=\"width: 400px; height: 183px;\" />\n<pre>\n<strong>Input:</strong> m = 3, n = 7\n<strong>Output:</strong> 28\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> m = 3, n = 2\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> From the top-left corner, there are a total of 3 ways to reach the bottom-right corner:\n1. Right -&gt; Down -&gt; Down\n2. Down -&gt; Down -&gt; Right\n3. Down -&gt; Right -&gt; Down\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= m, n &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "不同路径",
"translatedContent": "<p>一个机器人位于一个 <code>m x n</code><em>&nbsp;</em>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>问总共有多少条不同的路径?</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n<img src=\"https://pic.leetcode.cn/1697422740-adxmsI-image.png\" style=\"width: 400px; height: 183px;\" />\n<pre>\n<strong>输入:</strong>m = 3, n = 7\n<strong>输出:</strong>28</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>m = 3, n = 2\n<strong>输出:</strong>3\n<strong>解释:</strong>\n从左上角开始总共有 3 条路径可以到达右下角。\n1. 向右 -&gt; 向下 -&gt; 向下\n2. 向下 -&gt; 向下 -&gt; 向右\n3. 向下 -&gt; 向右 -&gt; 向下\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>m = 7, n = 3\n<strong>输出:</strong>28\n</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre>\n<strong>输入:</strong>m = 3, n = 3\n<strong>输出:</strong>6</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= m, n &lt;= 100</code></li>\n\t<li>题目数据保证答案小于等于 <code>2 * 10<sup>9</sup></code></li>\n</ul>\n",
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