mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-11 02:58:13 +08:00
184 lines
23 KiB
JSON
184 lines
23 KiB
JSON
{
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"questionId": "1309",
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"questionFrontendId": "1203",
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"categoryTitle": "Algorithms",
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"boundTopicId": 28487,
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"title": "Sort Items by Groups Respecting Dependencies",
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"titleSlug": "sort-items-by-groups-respecting-dependencies",
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"content": "<p>There are <code>n</code> items each belonging to zero or one of <code>m</code> groups where <code>group[i]</code> is the group that the <code>i</code>-th item belongs to and it's equal to <code>-1</code> if the <code>i</code>-th item belongs to no group. The items and the groups are zero indexed. A group can have no item belonging to it.</p>\n\n<p>Return a sorted list of the items such that:</p>\n\n<ul>\n\t<li>The items that belong to the same group are next to each other in the sorted list.</li>\n\t<li>There are some relations between these items where <code>beforeItems[i]</code> is a list containing all the items that should come before the <code>i</code>-th item in the sorted array (to the left of the <code>i</code>-th item).</li>\n</ul>\n\n<p>Return any solution if there is more than one solution and return an <strong>empty list</strong> if there is no solution.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/09/11/1359_ex1.png\" style=\"width: 191px; height: 181px;\" /></strong></p>\n\n<pre>\n<strong>Input:</strong> n = 8, m = 2, group = [-1,-1,1,0,0,1,0,-1], beforeItems = [[],[6],[5],[6],[3,6],[],[],[]]\n<strong>Output:</strong> [6,3,4,1,5,2,0,7]\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 8, m = 2, group = [-1,-1,1,0,0,1,0,-1], beforeItems = [[],[6],[5],[6],[3],[],[4],[]]\n<strong>Output:</strong> []\n<strong>Explanation:</strong> This is the same as example 1 except that 4 needs to be before 6 in the sorted list.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= m <= n <= 3 * 10<sup>4</sup></code></li>\n\t<li><code>group.length == beforeItems.length == n</code></li>\n\t<li><code>-1 <= group[i] <= m - 1</code></li>\n\t<li><code>0 <= beforeItems[i].length <= n - 1</code></li>\n\t<li><code>0 <= beforeItems[i][j] <= n - 1</code></li>\n\t<li><code>i != beforeItems[i][j]</code></li>\n\t<li><code>beforeItems[i] </code>does not contain duplicates elements.</li>\n</ul>\n",
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"translatedTitle": "项目管理",
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"translatedContent": "<p>有 <code>n</code> 个项目,每个项目或者不属于任何小组,或者属于 <code>m</code> 个小组之一。<code>group[i]</code> 表示第 <code>i</code> 个项目所属的小组,如果第 <code>i</code> 个项目不属于任何小组,则 <code>group[i]</code> 等于 <code>-1</code>。项目和小组都是从零开始编号的。可能存在小组不负责任何项目,即没有任何项目属于这个小组。</p>\n\n<p>请你帮忙按要求安排这些项目的进度,并返回排序后的项目列表:</p>\n\n<ul>\n\t<li>同一小组的项目,排序后在列表中彼此相邻。</li>\n\t<li>项目之间存在一定的依赖关系,我们用一个列表 <code>beforeItems</code> 来表示,其中 <code>beforeItems[i]</code> 表示在进行第 <code>i</code> 个项目前(位于第 <code>i</code> 个项目左侧)应该完成的所有项目。</li>\n</ul>\n\n<p>如果存在多个解决方案,只需要返回其中任意一个即可。如果没有合适的解决方案,就请返回一个 <strong>空列表 </strong>。</p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/09/22/1359_ex1.png\" style=\"height: 181px; width: 191px;\" /></strong></p>\n\n<pre>\n<strong>输入:</strong>n = 8, m = 2, group = [-1,-1,1,0,0,1,0,-1], beforeItems = [[],[6],[5],[6],[3,6],[],[],[]]\n<strong>输出:</strong>[6,3,4,1,5,2,0,7]\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 8, m = 2, group = [-1,-1,1,0,0,1,0,-1], beforeItems = [[],[6],[5],[6],[3],[],[4],[]]\n<strong>输出:</strong>[]\n<strong>解释:</strong>与示例 1 大致相同,但是在排序后的列表中,4 必须放在 6 的前面。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= m <= n <= 3 * 10<sup>4</sup></code></li>\n\t<li><code>group.length == beforeItems.length == n</code></li>\n\t<li><code>-1 <= group[i] <= m - 1</code></li>\n\t<li><code>0 <= beforeItems[i].length <= n - 1</code></li>\n\t<li><code>0 <= beforeItems[i][j] <= n - 1</code></li>\n\t<li><code>i != beforeItems[i][j]</code></li>\n\t<li><code>beforeItems[i]</code> 不含重复元素</li>\n</ul>\n",
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"name": "Depth-First Search",
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"code": "# @param {Integer} n\n# @param {Integer} m\n# @param {Integer[]} group\n# @param {Integer[][]} before_items\n# @return {Integer[]}\ndef sort_items(n, m, group, before_items)\n\nend",
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"code": "(define/contract (sort-items n m group beforeItems)\n (-> exact-integer? exact-integer? (listof exact-integer?) (listof (listof exact-integer?)) (listof exact-integer?))\n\n )",
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"Think of it as a graph problem.",
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"We need to find a topological order on the dependency graph.",
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"Build two graphs, one for the groups and another for the items."
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