mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-11 02:58:13 +08:00
176 lines
19 KiB
JSON
176 lines
19 KiB
JSON
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"categoryTitle": "Algorithms",
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"boundTopicId": 102335,
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"title": "Count All Valid Pickup and Delivery Options",
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"content": "<p>Given <code>n</code> orders, each order consist in pickup and delivery services. </p>\n\n<p>Count all valid pickup/delivery possible sequences such that delivery(i) is always after of pickup(i). </p>\n\n<p>Since the answer may be too large, return it modulo 10^9 + 7.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> Unique order (P1, D1), Delivery 1 always is after of Pickup 1.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> All possible orders: \n(P1,P2,D1,D2), (P1,P2,D2,D1), (P1,D1,P2,D2), (P2,P1,D1,D2), (P2,P1,D2,D1) and (P2,D2,P1,D1).\nThis is an invalid order (P1,D2,P2,D1) because Pickup 2 is after of Delivery 2.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3\n<strong>Output:</strong> 90\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 500</code></li>\n</ul>\n",
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"translatedTitle": "有效的快递序列数目",
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"translatedContent": "<p>给你 <code>n</code> 笔订单，每笔订单都需要快递服务。</p>\n\n<p>请你统计所有有效的 收件/配送 序列的数目，确保第 <code>i</code> 个物品的配送服务 <code>delivery(i)</code> 总是在其收件服务 <code>pickup(i)</code> 之后。</p>\n\n<p>由于答案可能很大，请返回答案对 <code>10^9 + 7</code> 取余的结果。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>n = 1\n<strong>输出：</strong>1\n<strong>解释：</strong>只有一种序列 (P1, D1)，物品 1 的配送服务（D1）在物品 1 的收件服务（P1）后。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>n = 2\n<strong>输出：</strong>6\n<strong>解释：</strong>所有可能的序列包括：\n(P1,P2,D1,D2)，(P1,P2,D2,D1)，(P1,D1,P2,D2)，(P2,P1,D1,D2)，(P2,P1,D2,D1) 和 (P2,D2,P1,D1)。\n(P1,D2,P2,D1) 是一个无效的序列，因为物品 2 的收件服务（P2）不应在物品 2 的配送服务（D2）之后。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>n = 3\n<strong>输出：</strong>90\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 500</code></li>\n</ul>\n",
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