You are given an integer finalSum. Split it into a sum of a maximum number of unique positive even integers.
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.
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Example 1:
\n\n\nInput: finalSum = 12\nOutput: [2,4,6]\nExplanation: The following are valid splits:\n\n(12),(2 + 10),(2 + 4 + 6), and(4 + 8).\n(2 + 4 + 6) has the maximum number of integers, which is 3. Thus, we return [2,4,6].\nNote that [2,6,4], [6,2,4], etc. are also accepted.\n
Example 2:
\n\n\nInput: finalSum = 7\nOutput: []\nExplanation: There are no valid splits for the given finalSum.\nThus, we return an empty array.\n\n\n
Example 3:
\n\n\nInput: finalSum = 28\nOutput: [6,8,2,12]\nExplanation: The following are valid splits:\n\n(2 + 26),(6 + 8 + 2 + 12), and(4 + 24). \n(6 + 8 + 2 + 12)has the maximum number of integers, which is 4. Thus, we return [6,8,2,12].\nNote that [10,2,4,12], [6,2,4,16], etc. are also accepted.\n
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Constraints:
\n\n1 <= finalSum <= 1010Compiled with clang 11 using the latest C++ 17 standard.
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Most standard library headers are already included automatically for your convenience.
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