和为S的连续正数序列

Desicription

小明很喜欢数学,有一天他在做数学作业时,要求计算出9~16的和,他马上就写出了正确答案是100。但是他并不满足于此,他在想究竟有多少种连续的正数序列的和为100(至少包括两个数)。没多久,他就得到另一组连续正数和为100的序列:18,19,20,21,22。现在把问题交给你,你能不能也很快的找出所有和为S的连续正数序列? Good Luck!

Solution

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class Solution {
public:
vector<vector<int> > FindContinuousSequence(int sum) {
vector<vector<int>> result;
vector<int> currentVector;
int currentSum = 0;
for(int i = 1; i <= sum; i++) {
currentSum += i;
currentVector.push_back(i);
if(sum == currentSum && currentVector.size() >= 2) {
result.push_back(currentVector);
}
bool change = false;
while(currentSum > sum) {
int front = currentVector.front();
currentVector.erase(currentVector.begin());
currentSum -= front;
change = true;
}
if(sum == currentSum && currentVector.size() >= 2 && change) {
result.push_back(currentVector);
}
}
return result;
}
};