g2301_2400.s2305_fair_distribution_of_cookies

Class Solution

java.lang.Object

g2301_2400.s2305_fair_distribution_of_cookies.Solution

public class Solution
extends 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 1^st child receives [8,15,8] which has a total of 8 + 15 + 8 = 31 cookies.

• The 2^nd 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 1^st child receives [6,1] which has a total of 6 + 1 = 7 cookies.

• The 2^nd child receives [3,2,2] which has a total of 3 + 2 + 2 = 7 cookies.

• The 3^rd 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 and Description
Solution()

Method Summary

Modifier and Type	Method and 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 Detail

Solution

public Solution()

Method Detail

distributeCookies

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