{ "data": { "question": { "questionId": "2642", "questionFrontendId": "2532", "categoryTitle": "Algorithms", "boundTopicId": 2050822, "title": "Time to Cross a Bridge", "titleSlug": "time-to-cross-a-bridge", "content": "

There are k workers who want to move n boxes from the right (old) warehouse to the left (new) warehouse. You are given the two integers n and k, and a 2D integer array time of size k x 4 where time[i] = [righti, picki, lefti, puti].

\n\n

The warehouses are separated by a river and connected by a bridge. Initially, all k workers are waiting on the left side of the bridge. To move the boxes, the ith worker can do the following:

\n\n\n\n

The ith worker is less efficient than the jth worker if either condition is met:

\n\n\n\n

The following rules regulate the movement of the workers through the bridge:

\n\n\n\n

Return the elapsed minutes at which the last box reaches the left side of the bridge.

\n\n

 

\n

Example 1:

\n\n
\n

Input: n = 1, k = 3, time = [[1,1,2,1],[1,1,3,1],[1,1,4,1]]

\n\n

Output: 6

\n\n

Explanation:

\n\n
\nFrom 0 to 1 minutes: worker 2 crosses the bridge to the right.\nFrom 1 to 2 minutes: worker 2 picks up a box from the right warehouse.\nFrom 2 to 6 minutes: worker 2 crosses the bridge to the left.\nFrom 6 to 7 minutes: worker 2 puts a box at the left warehouse.\nThe whole process ends after 7 minutes. We return 6 because the problem asks for the instance of time at which the last worker reaches the left side of the bridge.\n
\n
\n\n

Example 2:

\n\n
\n

Input: n = 3, k = 2, time = [[1,5,1,8],[10,10,10,10]]

\n\n

Output: 37

\n\n

Explanation:

\n\n
\n\n
\n\n

The last box reaches the left side at 37 seconds. Notice, how we do not put the last boxes down, as that would take more time, and they are already on the left with the workers.

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "过桥的时间", "translatedContent": "

共有 k 位工人计划将 n 个箱子从右侧的（旧）仓库移动到左侧的（新）仓库。给你两个整数 n 和 k，以及一个二维整数数组 time ，数组的大小为 k x 4 ，其中 time[i] = [righti, picki, lefti, puti] 。

\n\n

一条河将两座仓库分隔，只能通过一座桥通行。旧仓库位于河的右岸，新仓库在河的左岸。开始时，所有 k 位工人都在桥的左侧等待。为了移动这些箱子，第 i 位工人（下标从 0 开始）可以：

\n\n\n\n

如果满足下面任一条件，则认为工人 i 的 效率低于 工人 j ：

\n\n\n\n

工人通过桥时需要遵循以下规则：

\n\n\n\n

请你返回最后一个箱子 到达桥左侧 的时间。

\n\n

 

\n\n

示例 1：

\n\n
\n

输入：n = 1, k = 3, time = [[1,1,2,1],[1,1,3,1],[1,1,4,1]]

\n\n

输出：6

\n\n

解释：

\n\n
\n从 0 到 1 分钟：工人 2 通过桥到达右侧。\n从 1 到 2 分钟：工人 2 从右侧仓库拿起箱子。\n从 2 到 6 分钟：工人 2 通过桥到达左侧。\n从 6 到 7 分钟：工人 2 向左侧仓库放下箱子。\n整个过程在 7 分钟后结束。我们返回 6 因为该问题要求的是最后一名工人到达桥梁左侧的时间。\n
\n
\n\n

示例 2：

\n\n
\n

输入：n = 3, k = 2, time = [[1,5,1,8],[10,10,10,10]]

\n\n

输出：37

\n\n

解释：

\n\n
\n\n
\n\n

最后一个盒子在37秒时到达左侧。请注意，我们并 没有 放下最后一个箱子，因为那样会花费更多时间，而且它们已经和工人们一起在左边。

\n
\n\n

 

\n\n

提示：

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\\u5df2\\u9884\\u5148 (require data\\/gvector data\\/queue data\\/order data\\/heap). \\u82e5\\u9700\\u4f7f\\u7528\\u5176\\u5b83\\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u53ef\\u81ea\\u884c require\\u3002<\\/p>\"],\"erlang\":[\"Erlang\",\"Erlang\\/OTP 26\"],\"elixir\":[\"Elixir\",\"Elixir 1.17 with Erlang\\/OTP 26\"],\"dart\":[\"Dart\",\"
Dart 3.2\\u3002\\u60a8\\u53ef\\u4ee5\\u4f7f\\u7528 collection<\\/a> \\u5305<\\/p>\\r\\n\\r\\n
\\u60a8\\u7684\\u4ee3\\u7801\\u5c06\\u4f1a\\u88ab\\u4e0d\\u7f16\\u8bd1\\u76f4\\u63a5\\u8fd0\\u884c<\\/p>\"],\"cangjie\":[\"Cangjie\",\"
\\u7248\\u672c\\uff1a0.53.11 (cjnative)<\\/p>\\r\\n\\r\\n
\\u7f16\\u8bd1\\u53c2\\u6570\\uff1a-O2 --disable-reflection<\\/code><\\/p>\\r\\n\\r\\n
\\u5feb\\u901f\\u5165\\u95e8\\u8bf7\\u67e5\\u9605\\u300c\\u4ed3\\u9889\\u7f16\\u7a0b\\u8bed\\u8a00\\u5f00\\u53d1\\u6307\\u5357\\u300d<\\/a><\\/p>\"]}",
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            "isDailyQuestion": false,
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            "editorType": "CKEDITOR",
            "ugcQuestionId": null,
            "style": "LEETCODE",
            "exampleTestcases": "1\n3\n[[1,1,2,1],[1,1,3,1],[1,1,4,1]]\n3\n2\n[[1,9,1,8],[10,10,10,10]]",
            "__typename": "QuestionNode"
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}