2178. Maximum Split of Positive Even Integers
Description
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 tofinalSum
):(12)
,(2 + 10)
,(2 + 4 + 6)
, and(4 + 8)
. Among them,(2 + 4 + 6)
contains the maximum number of integers. Note thatfinalSum
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
Solutions
Solution 1
1 2 3 4 5 6 7 8 9 10 11 12 |
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 |
|
1 2 3 4 5 6 7 8 9 10 11 12 13 |
|
1 2 3 4 5 6 7 8 9 10 11 |
|
1 2 3 4 5 6 7 8 9 10 11 12 |
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 |
|