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2178. Maximum Split of Positive Even Integers 👍

  • Time: $O(\sqrt{\texttt{finalSum}})$
  • Space: $O(\sqrt{\texttt{finalSum}})$
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class Solution {
 public:
  vector<long long> maximumEvenSplit(long long finalSum) {
    if (finalSum % 2 == 1)
      return {};

    vector<long long> ans;
    long needSum = finalSum;
    long even = 2;

    while (needSum - even >= even + 2) {
      ans.push_back(even);
      needSum -= even;
      even += 2;
    }

    ans.push_back(needSum);
    return ans;
  }
};

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class Solution {
  public List<Long> maximumEvenSplit(long finalSum) {
    if (finalSum % 2 == 1)
      return new ArrayList<>();

    List<Long> ans = new ArrayList<>();
    long needSum = finalSum;
    long even = 2;

    while (needSum - even >= even + 2) {
      ans.add(even);
      needSum -= even;
      even += 2;
    }

    ans.add(needSum);
    return ans;
  }
}

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class Solution:
  def maximumEvenSplit(self, finalSum: int) -> list[int]:
    if finalSum % 2 == 1:
      return []

    ans = []
    needSum = finalSum
    even = 2

    while needSum - even >= even + 2:
      ans.append(even)
      needSum -= even
      even += 2

    return ans + [needSum]