Description:
Given a collection of intervals, merge all overlapping intervals.
Example 1:
Input: [[1,3],[2,6],[8,10],[15,18]]
Output: [[1,6],[8,10],[15,18]]
Explanation: Since intervals [1,3] and [2,6] overlaps, merge them into [1,6].
Example 2:
Input: [[1,4],[4,5]]
Output: [[1,5]]
Explanation: Intervals [1,4] and [4,5] are considered overlapping.
Analysis:
题目没说有序,需要先排序。
有交集的时候,才合并。
Solution1:
自己想的
class Solution {
public:
static bool compare(vector<int>& q1, vector<int>& q2) {
if (q1[0] < q2[0])
return true;
else
return false;
}
vector<vector<int>> merge(vector<vector<int>>& intervals) {
vector<vector<int>> ret;
if (intervals.size() == 0)
return ret;
sort(intervals.begin(), intervals.end(), compare);
vector<int> cur;
bool overlap = false;
int low = 0, high = 0;
int i = 0;
for (; i < intervals.size();) {
if (overlap) {
if (intervals[i][0] > cur[1] || intervals[i][1] < cur[0]) {
ret.push_back(cur);
cur.clear();
overlap = false;
} else {
low = min(intervals[i][0], cur[0]);
high = max(intervals[i][1], cur[1]);
cur.clear();
cur.push_back(low);
cur.push_back(high);
++ i;
}
} else {
if (i == intervals.size() - 1)
break;
if (intervals[i][0] > intervals[i + 1][1] || intervals[i][1] < intervals[i + 1][0]) {
ret.push_back(intervals[i]);
++ i;
continue;
}
overlap = true;
low = min(intervals[i][0], intervals[i + 1][0]);
high = max(intervals[i][1], intervals[i + 1][1]);
cur.push_back(low);
cur.push_back(high);
++ i;
++ i;
}
}
if (overlap)
ret.push_back(cur);
if (i == intervals.size() - 1)
ret.push_back(intervals[i]);
return ret;
}
};
Solution2:
参考:双指针法
1.先排序
2.左指针指向可能存在合并的起始区间,右指针开始向后遍历查找
3.右指针发现可以合并,记录当前右端点,继续向后
4.直到右指针走不动,将当前左端点、右端点加入返回值
5.右指针赋给左指针
vector<vector<int>> merge(vector<vector<int>>& intervals) {
sort(intervals.begin(), intervals.end());
vector<vector<int>> ans;
for (int i = 0; i < intervals.size();) {
int t = intervals[i][1];
int j = i + 1;
while (j < intervals.size() && intervals[j][0] <= t) {
t = max(t, intervals[j][1]);
j++;
}
ans.push_back({ intervals[i][0], t });
i = j;
}
return ans;
}