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48 lines
1.2 KiB
HTML
48 lines
1.2 KiB
HTML
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<p>一个机器人位于一个 <code>m x n</code><em> </em>网格的左上角 （起始点在下图中标记为 “Start” ）。</p>
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<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>
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<p>问总共有多少条不同的路径？</p>
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<p> </p>
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<p><strong>示例 1：</strong></p>
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<img src="https://assets.leetcode.com/uploads/2018/10/22/robot_maze.png" />
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<pre>
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<strong>输入：</strong>m = 3, n = 7
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<strong>输出：</strong>28</pre>
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<p><strong>示例 2：</strong></p>
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<pre>
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<strong>输入：</strong>m = 3, n = 2
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<strong>输出：</strong>3
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<strong>解释：</strong>
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从左上角开始，总共有 3 条路径可以到达右下角。
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1. 向右 -> 向下 -> 向下
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2. 向下 -> 向下 -> 向右
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3. 向下 -> 向右 -> 向下
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</pre>
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<p><strong>示例 3：</strong></p>
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<pre>
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<strong>输入：</strong>m = 7, n = 3
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<strong>输出：</strong>28
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</pre>
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<p><strong>示例 4：</strong></p>
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<pre>
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<strong>输入：</strong>m = 3, n = 3
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<strong>输出：</strong>6</pre>
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<p> </p>
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<p><strong>提示：</strong></p>
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<ul>
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<li><code>1 <= m, n <= 100</code></li>
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<li>题目数据保证答案小于等于 <code>2 * 10<sup>9</sup></code></li>
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</ul>
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