Package g2101_2200.s2171_removing_minimum_number_of_magic_beans

Class 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 Detail

      • Solution

        public Solution()

    • Method Detail

      • minimumRemoval

        public long minimumRemoval​(int[] beans)