{ "data": { "question": { "questionId": "1789", "questionFrontendId": "1687", "categoryTitle": "Algorithms", "boundTopicId": 518289, "title": "Delivering Boxes from Storage to Ports", "titleSlug": "delivering-boxes-from-storage-to-ports", "content": "
You have the task of delivering some boxes from storage to their ports using only one ship. However, this ship has a limit on the number of boxes and the total weight that it can carry.
\n\nYou are given an array boxes
, where boxes[i] = [portsi, weighti]
, and three integers portsCount
, maxBoxes
, and maxWeight
.
portsi
is the port where you need to deliver the ith
box and weightsi
is the weight of the ith
box.portsCount
is the number of ports.maxBoxes
and maxWeight
are the respective box and weight limits of the ship.The boxes need to be delivered in the order they are given. The ship will follow these steps:
\n\nboxes
queue, not violating the maxBoxes
and maxWeight
constraints.The ship must end at storage after all the boxes have been delivered.
\n\nReturn the minimum number of trips the ship needs to make to deliver all boxes to their respective ports.
\n\n\n
Example 1:
\n\n\nInput: boxes = [[1,1],[2,1],[1,1]], portsCount = 2, maxBoxes = 3, maxWeight = 3\nOutput: 4\nExplanation: The optimal strategy is as follows: \n- The ship takes all the boxes in the queue, goes to port 1, then port 2, then port 1 again, then returns to storage. 4 trips.\nSo the total number of trips is 4.\nNote that the first and third boxes cannot be delivered together because the boxes need to be delivered in order (i.e. the second box needs to be delivered at port 2 before the third box).\n\n\n
Example 2:
\n\n\nInput: boxes = [[1,2],[3,3],[3,1],[3,1],[2,4]], portsCount = 3, maxBoxes = 3, maxWeight = 6\nOutput: 6\nExplanation: The optimal strategy is as follows: \n- The ship takes the first box, goes to port 1, then returns to storage. 2 trips.\n- The ship takes the second, third and fourth boxes, goes to port 3, then returns to storage. 2 trips.\n- The ship takes the fifth box, goes to port 2, then returns to storage. 2 trips.\nSo the total number of trips is 2 + 2 + 2 = 6.\n\n\n
Example 3:
\n\n\nInput: boxes = [[1,4],[1,2],[2,1],[2,1],[3,2],[3,4]], portsCount = 3, maxBoxes = 6, maxWeight = 7\nOutput: 6\nExplanation: The optimal strategy is as follows:\n- The ship takes the first and second boxes, goes to port 1, then returns to storage. 2 trips.\n- The ship takes the third and fourth boxes, goes to port 2, then returns to storage. 2 trips.\n- The ship takes the fifth and sixth boxes, goes to port 3, then returns to storage. 2 trips.\nSo the total number of trips is 2 + 2 + 2 = 6.\n\n\n
\n
Constraints:
\n\n1 <= boxes.length <= 105
1 <= portsCount, maxBoxes, maxWeight <= 105
1 <= portsi <= portsCount
1 <= weightsi <= maxWeight
你有一辆货运卡车,你需要用这一辆车把一些箱子从仓库运送到码头。这辆卡车每次运输有 箱子数目的限制 和 总重量的限制 。
\n\n给你一个箱子数组 boxes
和三个整数 portsCount
, maxBoxes
和 maxWeight
,其中 boxes[i] = [portsi, weighti]
。
portsi
表示第 i
个箱子需要送达的码头, weightsi
是第 i
个箱子的重量。portsCount
是码头的数目。maxBoxes
和 maxWeight
分别是卡车每趟运输箱子数目和重量的限制。箱子需要按照 数组顺序 运输,同时每次运输需要遵循以下步骤:
\n\nboxes
队列中按顺序取出若干个箱子,但不能违反 maxBoxes
和 maxWeight
限制。卡车在将所有箱子运输并卸货后,最后必须回到仓库。
\n\n请你返回将所有箱子送到相应码头的 最少行程 次数。
\n\n\n\n
示例 1:
\n\n\n输入:boxes = [[1,1],[2,1],[1,1]], portsCount = 2, maxBoxes = 3, maxWeight = 3\n输出:4\n解释:最优策略如下:\n- 卡车将所有箱子装上车,到达码头 1 ,然后去码头 2 ,然后再回到码头 1 ,最后回到仓库,总共需要 4 趟行程。\n所以总行程数为 4 。\n注意到第一个和第三个箱子不能同时被卸货,因为箱子需要按顺序处理(也就是第二个箱子需要先被送到码头 2 ,然后才能处理第三个箱子)。\n\n\n
示例 2:
\n\n\n输入:boxes = [[1,2],[3,3],[3,1],[3,1],[2,4]], portsCount = 3, maxBoxes = 3, maxWeight = 6\n输出:6\n解释:最优策略如下:\n- 卡车首先运输第一个箱子,到达码头 1 ,然后回到仓库,总共 2 趟行程。\n- 卡车运输第二、第三、第四个箱子,到达码头 3 ,然后回到仓库,总共 2 趟行程。\n- 卡车运输第五个箱子,到达码头 2 ,回到仓库,总共 2 趟行程。\n总行程数为 2 + 2 + 2 = 6 。\n\n\n
示例 3:
\n\n\n输入:boxes = [[1,4],[1,2],[2,1],[2,1],[3,2],[3,4]], portsCount = 3, maxBoxes = 6, maxWeight = 7\n输出:6\n解释:最优策略如下:\n- 卡车运输第一和第二个箱子,到达码头 1 ,然后回到仓库,总共 2 趟行程。\n- 卡车运输第三和第四个箱子,到达码头 2 ,然后回到仓库,总共 2 趟行程。\n- 卡车运输第五和第六个箱子,到达码头 3 ,然后回到仓库,总共 2 趟行程。\n总行程数为 2 + 2 + 2 = 6 。\n\n\n
示例 4:
\n\n\n输入:boxes = [[2,4],[2,5],[3,1],[3,2],[3,7],[3,1],[4,4],[1,3],[5,2]], portsCount = 5, maxBoxes = 5, maxWeight = 7\n输出:14\n解释:最优策略如下:\n- 卡车运输第一个箱子,到达码头 2 ,然后回到仓库,总共 2 趟行程。\n- 卡车运输第二个箱子,到达码头 2 ,然后回到仓库,总共 2 趟行程。\n- 卡车运输第三和第四个箱子,到达码头 3 ,然后回到仓库,总共 2 趟行程。\n- 卡车运输第五个箱子,到达码头 3 ,然后回到仓库,总共 2 趟行程。\n- 卡车运输第六和第七个箱子,到达码头 3 ,然后去码头 4 ,然后回到仓库,总共 3 趟行程。\n- 卡车运输第八和第九个箱子,到达码头 1 ,然后去码头 5 ,然后回到仓库,总共 3 趟行程。\n总行程数为 2 + 2 + 2 + 2 + 3 + 3 = 14 。\n\n\n
\n\n
提示:
\n\n1 <= boxes.length <= 105
1 <= portsCount, maxBoxes, maxWeight <= 105
1 <= portsi <= portsCount
1 <= weightsi <= maxWeight
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