CS-Notes/docs/notes/57.2 和为 S 的连续正数序列.md

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2019-11-02 12:07:41 +08:00
# 57.2 和为 S 的连续正数序列
[NowCoder](https://www.nowcoder.com/practice/c451a3fd84b64cb19485dad758a55ebe?tpId=13&tqId=11194&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking&from=cyc_github)
## 题目描述
输出所有和为 S 的连续正数序列
例如和为 100 的连续序列有
```
[9, 10, 11, 12, 13, 14, 15, 16]
[18, 19, 20, 21, 22]
```
## 解题思路
```java
public ArrayList<ArrayList<Integer>> FindContinuousSequence(int sum) {
ArrayList<ArrayList<Integer>> ret = new ArrayList<>();
int start = 1, end = 2;
int curSum = 3;
while (end < sum) {
if (curSum > sum) {
curSum -= start;
start++;
} else if (curSum < sum) {
end++;
curSum += end;
} else {
ArrayList<Integer> list = new ArrayList<>();
for (int i = start; i <= end; i++)
list.add(i);
ret.add(list);
curSum -= start;
start++;
end++;
curSum += end;
}
}
return ret;
}
```