Package 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 java.lang.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
    Description
    Solution()
     

  • Method Summary

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

    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

    • minimumRemoval

      public long minimumRemoval(int[] beans)