A conveyor belt has packages that must be shipped from one port to another within `D`

days.

The `i`

-th package on the conveyor belt has a weight of `weights[i]`

. Each day, we load the ship with packages on the conveyor belt (in the order given by `weights`

). We may not load more weight than the maximum weight capacity of the ship.

Return the least weight capacity of the ship that will result in all the packages on the conveyor belt being shipped within `D`

days.

**Example 1:**

1 2 3 4 5 6 7 8 9 10 11 |
<strong>Input: </strong>weights = [1,2,3,4,5,6,7,8,9,10], D = 5 <strong>Output: </strong>15 <strong>Explanation: </strong> A ship capacity of 15 is the minimum to ship all the packages in 5 days like this: 1st day: 1, 2, 3, 4, 5 2nd day: 6, 7 3rd day: 8 4th day: 9 5th day: 10 Note that the cargo must be shipped in the order given, so using a ship of capacity 14 and splitting the packages into parts like (2, 3, 4, 5), (1, 6, 7), (8), (9), (10) is not allowed. |

**Example 2:**

1 2 3 4 5 6 7 |
<strong>Input: </strong>weights = [3,2,2,4,1,4], D = 3 <strong>Output: </strong>6 <strong>Explanation: </strong> A ship capacity of 6 is the minimum to ship all the packages in 3 days like this: 1st day: 3, 2 2nd day: 2, 4 3rd day: 1, 4 |

**Example 3:**

1 2 3 4 5 6 7 |
<strong>Input: </strong>weights = [1,2,3,1,1], D = 4 <strong>Output: </strong>3 <strong>Explanation: </strong> 1st day: 1 2nd day: 2 3rd day: 3 4th day: 1, 1 |

**Note:**

`1 <= D <= weights.length <= 50000`

`1 <= weights[i] <= 500`

**Solution: Binary Search**

Find the smallest capacity such that can finish in D days.

Time complexity: O(n * log(sum(weights))

Space complexity: O(1)

## C++

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 |
// Author: Huahua, running time: 52 ms, 11.9 MB class Solution { public: int shipWithinDays(vector<int>& weights, int D) { int l = *max_element(begin(weights), end(weights)); int r = accumulate(begin(weights), end(weights), 0) + 1; while (l < r) { int m = l + (r - l) / 2; int d = 1; int t = 0; for (int w : weights) if ((t += w) > m) { t = w; ++d; } d > D ? l = m + 1 : r = m; } return l; } }; |

请尊重作者的劳动成果，转载请注明出处！花花保留对文章／视频的所有权利。

如果您喜欢这篇文章／视频，欢迎您捐赠花花。

If you like my articles / videos, donations are welcome.

## Be First to Comment