There are k workers who want to move n boxes from an old warehouse to a new one. You are given the two integers n and k, and a 2D integer array time of size k x 4 where time[i] = [leftToRighti, pickOldi, rightToLefti, putNewi].
The warehouses are separated by a river and connected by a bridge. The old warehouse is on the right bank of the river, and the new warehouse is on the left bank of the river. Initially, all k workers are waiting on the left side of the bridge. To move the boxes, the ith worker (0-indexed) can :
leftToRighti minutes.pickOldi minutes. Different workers can pick up their boxes simultaneously.rightToLefti minutes.putNewi minutes. Different workers can put their boxes simultaneously.A worker i is less efficient than a worker j if either condition is met:
leftToRighti + rightToLefti > leftToRightj + rightToLeftjleftToRighti + rightToLefti == leftToRightj + rightToLeftj and i > jThe following rules regulate the movement of the workers through the bridge :
\n\nx reaches the bridge while another worker y is crossing the bridge, x waits at their side of the bridge.Return the instance of time at which the last worker reaches the left bank of the river after all n boxes have been put in the new warehouse.
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Example 1:
\n\n\nInput: n = 1, k = 3, time = [[1,1,2,1],[1,1,3,1],[1,1,4,1]]\nOutput: 6\nExplanation: \nFrom 0 to 1: worker 2 crosses the bridge from the left bank to the right bank.\nFrom 1 to 2: worker 2 picks up a box from the old warehouse.\nFrom 2 to 6: worker 2 crosses the bridge from the right bank to the left bank.\nFrom 6 to 7: worker 2 puts a box at the new 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 bank.\n\n\n
Example 2:
\n\n\nInput: n = 3, k = 2, time = [[1,9,1,8],[10,10,10,10]]\nOutput: 50\nExplanation: \nFrom 0 to 10: worker 1 crosses the bridge from the left bank to the right bank.\nFrom 10 to 20: worker 1 picks up a box from the old warehouse.\nFrom 10 to 11: worker 0 crosses the bridge from the left bank to the right bank.\nFrom 11 to 20: worker 0 picks up a box from the old warehouse.\nFrom 20 to 30: worker 1 crosses the bridge from the right bank to the left bank.\nFrom 30 to 40: worker 1 puts a box at the new warehouse.\nFrom 30 to 31: worker 0 crosses the bridge from the right bank to the left bank.\nFrom 31 to 39: worker 0 puts a box at the new warehouse.\nFrom 39 to 40: worker 0 crosses the bridge from the left bank to the right bank.\nFrom 40 to 49: worker 0 picks up a box from the old warehouse.\nFrom 49 to 50: worker 0 crosses the bridge from the right bank to the left bank.\nFrom 50 to 58: worker 0 puts a box at the new warehouse.\nThe whole process ends after 58 minutes. We return 50 because the problem asks for the instance of time at which the last worker reaches the left bank.\n\n\n
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Constraints:
\n\n1 <= n, k <= 104time.length == ktime[i].length == 41 <= leftToRighti, pickOldi, rightToLefti, putNewi <= 1000Compiled with clang 11 using the latest C++ 20 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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