Wednesday, February 17, 2016

LeetCode Q57: Insert Interval

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].

One consideration is, the i-place method maybe slower than using extra space for the new vector. So I create a new vector res for result returned.
Linear scan, and keep updating newInterval until intervals[i].start is larger than newInterval.end.
/**
* Definition for an interval.
* struct Interval {
* int start;
* int end;
* Interval() : start(0), end(0) {}
* Interval(int s, int e) : start(s), end(e) {}
* };
*/
class Solution {
public:
vector<Interval> insert(vector<Interval>& intervals, Interval newInterval) {
vector<Interval> res;
if(intervals.empty()){
res.push_back(newInterval);
return res;
}
int start=newInterval.start;
int end=newInterval.end;
int low=intervals[0].start;
int high=intervals[0].end;
int i=0;
for(; i<intervals.size(); ++i){
//
if(intervals[i].start>end){
res.push_back(newInterval);
break;
}
if((start>=intervals[i].start && start<=intervals[i].end)||
intervals[i].start>=start && intervals[i].end<=end ||
end>=intervals[i].start && end<=intervals[i].end){
start=min(start, intervals[i].start);
end=max(end, intervals[i].end);
newInterval.start=start;
newInterval.end=end;
continue;
}
res.push_back(intervals[i]);
}
if(i==intervals.size()){
res.push_back(newInterval);
}
for(; i<intervals.size(); ++i){
res.push_back(intervals[i]);
}
return res;
}
};

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