g2101_2200.s2171_removing_minimum_number_of_magic_beans

Class Solution

java.lang.Object

g2101_2200.s2171_removing_minimum_number_of_magic_beans.Solution

public class Solution
extends Object

2171 - Removing Minimum Number of Magic Beans.

Medium

You are given an array of positive integers beans, where each integer represents the number of magic beans found in a particular magic bag.

Remove any number of beans ( possibly none ) from each bag such that the number of beans in each remaining non-empty bag (still containing at least one bean) is equal. Once a bean has been removed from a bag, you are not allowed to return it to any of the bags.

Return the minimum number of magic beans that you have to remove.

Example 1:

Input: beans = [4, 1 ,6,5]

Output: 4

Explanation:

• We remove 1 bean from the bag with only 1 bean.

This results in the remaining bags: [4, 0 ,6,5]

• Then we remove 2 beans from the bag with 6 beans.

This results in the remaining bags: [4,0, 4 ,5]

• Then we remove 1 bean from the bag with 5 beans.

This results in the remaining bags: [4,0,4, 4 ]

We removed a total of 1 + 2 + 1 = 4 beans to make the remaining non-empty bags have an equal number of beans.

There are no other solutions that remove 4 beans or fewer.

Example 2:

Input: beans = [2 ,10, 3 , 2 ]

Output: 7

Explanation:

• We remove 2 beans from one of the bags with 2 beans.

This results in the remaining bags: [0 ,10,3,2]

• Then we remove 2 beans from the other bag with 2 beans.

This results in the remaining bags: [0,10,3, 0 ]

• Then we remove 3 beans from the bag with 3 beans.

This results in the remaining bags: [0,10, 0 ,0]

We removed a total of 2 + 2 + 3 = 7 beans to make the remaining non-empty bags have an equal number of beans.

There are no other solutions that removes 7 beans or fewer.

Constraints:

• 1 <= beans.length <= 105
• 1 <= beans[i] <= 105

Constructor Summary

Constructors

Constructor and Description
Solution()

Method Summary

Modifier and Type	Method and Description
long	minimumRemoval(int[] beans)

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

minimumRemoval

public long minimumRemoval(int[] beans)