{ "data": { "question": { "questionId": "1056", "questionFrontendId": "1011", "categoryTitle": "Algorithms", "boundTopicId": 3212, "title": "Capacity To Ship Packages Within D Days", "titleSlug": "capacity-to-ship-packages-within-d-days", "content": "
A conveyor belt has packages that must be shipped from one port to another within days
days.
The ith
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 days
days.
\n
Example 1:
\n\n\nInput: weights = [1,2,3,4,5,6,7,8,9,10], days = 5\nOutput: 15\nExplanation: A ship capacity of 15 is the minimum to ship all the packages in 5 days like this:\n1st day: 1, 2, 3, 4, 5\n2nd day: 6, 7\n3rd day: 8\n4th day: 9\n5th day: 10\n\nNote 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.\n\n\n
Example 2:
\n\n\nInput: weights = [3,2,2,4,1,4], days = 3\nOutput: 6\nExplanation: A ship capacity of 6 is the minimum to ship all the packages in 3 days like this:\n1st day: 3, 2\n2nd day: 2, 4\n3rd day: 1, 4\n\n\n
Example 3:
\n\n\nInput: weights = [1,2,3,1,1], days = 4\nOutput: 3\nExplanation:\n1st day: 1\n2nd day: 2\n3rd day: 3\n4th day: 1, 1\n\n\n
\n
Constraints:
\n\n1 <= days <= weights.length <= 5 * 104
1 <= weights[i] <= 500
传送带上的包裹必须在 days
天内从一个港口运送到另一个港口。
传送带上的第 i
个包裹的重量为 weights[i]
。每一天,我们都会按给出重量(weights
)的顺序往传送带上装载包裹。我们装载的重量不会超过船的最大运载重量。
返回能在 days
天内将传送带上的所有包裹送达的船的最低运载能力。
\n\n
示例 1:
\n\n\n输入:weights = [1,2,3,4,5,6,7,8,9,10], days = 5\n输出:15\n解释:\n船舶最低载重 15 就能够在 5 天内送达所有包裹,如下所示:\n第 1 天:1, 2, 3, 4, 5\n第 2 天:6, 7\n第 3 天:8\n第 4 天:9\n第 5 天:10\n\n请注意,货物必须按照给定的顺序装运,因此使用载重能力为 14 的船舶并将包装分成 (2, 3, 4, 5), (1, 6, 7), (8), (9), (10) 是不允许的。 \n\n\n
示例 2:
\n\n\n输入:weights = [3,2,2,4,1,4], days = 3\n输出:6\n解释:\n船舶最低载重 6 就能够在 3 天内送达所有包裹,如下所示:\n第 1 天:3, 2\n第 2 天:2, 4\n第 3 天:1, 4\n\n\n
示例 3:
\n\n\n输入:weights = [1,2,3,1,1], days = 4\n输出:3\n解释:\n第 1 天:1\n第 2 天:2\n第 3 天:3\n第 4 天:1, 1\n\n\n
\n\n
提示:
\n\n1 <= days <= weights.length <= 5 * 104
1 <= weights[i] <= 500
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