{ "data": { "question": { "questionId": "1418", "questionFrontendId": "2305", "categoryTitle": "Algorithms", "boundTopicId": 1592197, "title": "Fair Distribution of Cookies", "titleSlug": "fair-distribution-of-cookies", "content": "
You are given an integer array cookies
, where cookies[i]
denotes the number of cookies in the ith
bag. You are also given an integer k
that denotes the number of children to distribute all the bags of cookies to. All the cookies in the same bag must go to the same child and cannot be split up.
The unfairness of a distribution is defined as the maximum total cookies obtained by a single child in the distribution.
\n\nReturn the minimum unfairness of all distributions.
\n\n\n
Example 1:
\n\n\nInput: cookies = [8,15,10,20,8], k = 2\nOutput: 31\nExplanation: One optimal distribution is [8,15,8] and [10,20]\n- The 1st child receives [8,15,8] which has a total of 8 + 15 + 8 = 31 cookies.\n- The 2nd child receives [10,20] which has a total of 10 + 20 = 30 cookies.\nThe unfairness of the distribution is max(31,30) = 31.\nIt can be shown that there is no distribution with an unfairness less than 31.\n\n\n
Example 2:
\n\n\nInput: cookies = [6,1,3,2,2,4,1,2], k = 3\nOutput: 7\nExplanation: One optimal distribution is [6,1], [3,2,2], and [4,1,2]\n- The 1st child receives [6,1] which has a total of 6 + 1 = 7 cookies.\n- The 2nd child receives [3,2,2] which has a total of 3 + 2 + 2 = 7 cookies.\n- The 3rd child receives [4,1,2] which has a total of 4 + 1 + 2 = 7 cookies.\nThe unfairness of the distribution is max(7,7,7) = 7.\nIt can be shown that there is no distribution with an unfairness less than 7.\n\n\n
\n
Constraints:
\n\n2 <= cookies.length <= 8
1 <= cookies[i] <= 105
2 <= k <= cookies.length
给你一个整数数组 cookies
,其中 cookies[i]
表示在第 i
个零食包中的饼干数量。另给你一个整数 k
表示等待分发零食包的孩子数量,所有 零食包都需要分发。在同一个零食包中的所有饼干都必须分发给同一个孩子,不能分开。
分发的 不公平程度 定义为单个孩子在分发过程中能够获得饼干的最大总数。
\n\n返回所有分发的最小不公平程度。
\n\n\n\n
示例 1:
\n\n输入:cookies = [8,15,10,20,8], k = 2\n输出:31\n解释:一种最优方案是 [8,15,8] 和 [10,20] 。\n- 第 1 个孩子分到 [8,15,8] ,总计 8 + 15 + 8 = 31 块饼干。\n- 第 2 个孩子分到 [10,20] ,总计 10 + 20 = 30 块饼干。\n分发的不公平程度为 max(31,30) = 31 。\n可以证明不存在不公平程度小于 31 的分发方案。\n\n\n
示例 2:
\n\n输入:cookies = [6,1,3,2,2,4,1,2], k = 3\n输出:7\n解释:一种最优方案是 [6,1]、[3,2,2] 和 [4,1,2] 。\n- 第 1 个孩子分到 [6,1] ,总计 6 + 1 = 7 块饼干。 \n- 第 2 个孩子分到 [3,2,2] ,总计 3 + 2 + 2 = 7 块饼干。\n- 第 3 个孩子分到 [4,1,2] ,总计 4 + 1 + 2 = 7 块饼干。\n分发的不公平程度为 max(7,7,7) = 7 。\n可以证明不存在不公平程度小于 7 的分发方案。\n\n\n
\n\n
提示:
\n\n2 <= cookies.length <= 8
1 <= cookies[i] <= 105
2 <= k <= cookies.length
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