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*8 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 destribution.
Return the minimum unfiarness of all distributions.
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。
返回所有分发的最小不公平程度。
Example 1:
Input: cookies = [8,15,10,20,8], k = 2
Output: 31
Explanation: One optimal distribution is [8,15,8] and [10,20]
- The 1st child receives [8,15,8] which has a total of 8 + 15 + 8 = 31 cookies.
- The 2nd child receives [10,20] which has a total of 10 + 20 = 30 cookies.
The unfairness of the distribution is max(31,30) = 31.
It can be shown that there is no distribution with an unfairness less than 31.
Example 2:
Input: cookies = [6,1,3,2,2,4,1,2], k = 3
Output: 7
Explanation: One optimal distribution is [6,1], [3,2,2], and [4,1,2]
- The 1st child receives [6,1] which has a total of 6 + 1 = 7 cookies.
- The 2nd child receives [3,2,2] which has a total of 3 + 2 + 2 = 7 cookies.
- The 3rd child receives [4,1,2] which has a total of 4 + 1 + 2 = 7 cookies.
The unfairness of the distribution is max(7,7,7) = 7.
It can be shown that there is no distribution with an unfairness less than 7.
1 | class Solution { |