Package g2101_2200.s2178_maximum_split_of_positive_even_integers

Class Solution

java.lang.Object
g2101_2200.s2178_maximum_split_of_positive_even_integers.Solution
public class Solution extends java.lang.Object
2178 - Maximum Split of Positive Even Integers.

Medium

You are given an integer finalSum. Split it into a sum of a maximum number of unique positive even integers.

  • For example, given finalSum = 12, the following splits are valid (unique positive even integers summing up to finalSum): (12), (2 + 10), (2 + 4 + 6), and (4 + 8). Among them, (2 + 4 + 6) contains the maximum number of integers. Note that finalSum cannot be split into (2 + 2 + 4 + 4) as all the numbers should be unique.

Return a list of integers that represent a valid split containing a maximum number of integers. If no valid split exists for finalSum, return an empty list. You may return the integers in any order.

Example 1:

Input: finalSum = 12

Output: [2,4,6]

Explanation: The following are valid splits: (12), (2 + 10), (2 + 4 + 6), and (4 + 8).

(2 + 4 + 6) has the maximum number of integers, which is 3. Thus, we return [2,4,6].

Note that [2,6,4], [6,2,4], etc. are also accepted.

Example 2:

Input: finalSum = 7

Output: []

Explanation: There are no valid splits for the given finalSum. Thus, we return an empty array.

Example 3:

Input: finalSum = 28

Output: [6,8,2,12]

Explanation: The following are valid splits: (2 + 26), (6 + 8 + 2 + 12), and (4 + 24).

(6 + 8 + 2 + 12) has the maximum number of integers, which is 4. Thus, we return [6,8,2,12].

Note that [10,2,4,12], [6,2,4,16], etc. are also accepted.

Constraints:

  • 1 <= finalSum <= 1010

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    java.util.List<java.lang.Long>
    maximumEvenSplit(long finalSum)
     

    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

    • maximumEvenSplit

      public java.util.List<java.lang.Long> maximumEvenSplit(long finalSum)