Package g2301_2400.s2305_fair_distribution_of_cookies

Class Solution

java.lang.Object
g2301_2400.s2305_fair_distribution_of_cookies.Solution
public class Solution extends java.lang.Object
2305 - Fair Distribution of Cookies.

Medium

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.

Return the minimum unfairness of all distributions.

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.

Constraints:

  • 2 <= cookies.length <= 8
  • 1 <= cookies[i] <= 105
  • 2 <= k <= cookies.length

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    distributeCookies(int[] c, int k)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • distributeCookies

      public int distributeCookies(int[] c, int k)