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 3, 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 <= 1051 <= portsCount, maxBoxes, maxWeight <= 1051 <= portsi <= portsCount1 <= weightsi <= maxWeightCompiled with clang 11 using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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