Given a set of non-overlapping intervals, insert a new interval into the intervals (merge if necessary).
You may assume that the intervals were initially sorted according to their start times.
Example 1:
Given intervals [1,3],[6,9], insert and merge [2,5] in as [1,5],[6,9].
Example 2:
Given [1,2],[3,5],[6,7],[8,10],[12,16], insert and merge [4,9] in as [1,2],[3,10],[12,16].
This is because the new interval [4,9] overlaps with [3,5],[6,7],[8,10].
思路就是找到要merge的n个区间,然后把这几个区间删掉,再把新的区间插进去。
s初始化为-1,s+1就是插入的位置。s记录的是要merge的区间的前一个区间,所以插入位置就是s+1。
i就是要merge的区间的后一个区间。
如果merge错的话,可能会出现Output Limit Exceeded。
56ms。
1 class Solution { 2 public: 3 vector<Interval> insert(vector<Interval> &intervals, Interval newInterval) { 4 int s = -1, i = 0; 5 for (; i < intervals.size(); ++i) { 6 if (newInterval.end < intervals[i].start) { 7 break; 8 } 9 if (newInterval.start > intervals[i].end) { 10 s = i; 11 continue; 12 } 13 14 if (intervals[i].start < newInterval.start) newInterval.start = intervals[i].start; 15 if (intervals[i].end > newInterval.end) newInterval.end = intervals[i].end; 16 } 17 18 if (i - s >= 2) intervals.erase(intervals.begin() + s + 1, intervals.begin() + i); 19 intervals.insert(intervals.begin() + s + 1, newInterval); 20 return intervals; 21 } 22 };
第三次写,用一个新的vector复制,因为vector的删除也是复制,这样还高效一点。
1. 不可能有交集的区间直接复制。
2. 有交集的区间求最终的交集。
3. 剩下的又直接复制。
这样可以不用对空输入进行特殊处理。
1 /** 2 * Definition for an interval. 3 * struct Interval { 4 * int start; 5 * int end; 6 * Interval() : start(0), end(0) {} 7 * Interval(int s, int e) : start(s), end(e) {} 8 * }; 9 */ 10 class Solution { 11 public: 12 vector<Interval> insert(vector<Interval> &intervals, Interval newInterval) { 13 vector<Interval> ans; 14 15 int i = 0; 16 for (; i < intervals.size(); ++i) { 17 if (intervals[i].end < newInterval.start) { 18 ans.push_back(intervals[i]); 19 } else if (intervals[i].start > newInterval.end) { 20 break; 21 } else { 22 if (intervals[i].end > newInterval.end) newInterval.end = intervals[i].end; 23 if (intervals[i].start < newInterval.start) newInterval.start = intervals[i].start; 24 } 25 } 26 ans.push_back(newInterval); 27 for (;i < intervals.size(); ++i) { 28 ans.push_back(intervals[i]); 29 } 30 31 return ans; 32 } 33 };