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You are given an array of non-overlapping intervals intervals
where intervals[i] = [starti, endi]
represent the start and the end of the ith
interval and intervals
is sorted in ascending order by starti
. You are also given an interval newInterval = [start, end]
that represents the start and end of another interval.
Insert newInterval
into intervals
such that intervals
is still sorted in ascending order by starti
and intervals
still does not have any overlapping intervals (merge overlapping intervals if necessary).
Return intervals
after the insertion.
Example 1:
Input: intervals = [[1,3],[6,9]], newInterval = [2,5]
Output: [[1,5],[6,9]]
Example 2:
Input: intervals = [[1,2],[3,5],[6,7],[8,10],[12,16]], newInterval = [4,8]
Output: [[1,2],[3,10],[12,16]]
Explanation: Because the new interval [4,8] overlaps with [3,5],[6,7],[8,10].
Constraints:
0 <= intervals.length <= 104
intervals[i].length == 2
0 <= starti <= endi <= 105
intervals
is sorted by starti
in ascending order.newInterval.length == 2
0 <= start <= end <= 105
public List<Interval> insert(List<Interval> intervals, Interval newInterval) {
List<Interval> result = new LinkedList<>();
int i = 0;
// add all the intervals ending before newInterval starts
while (i < intervals.size() && intervals.get(i).end < newInterval.start)
result.add(intervals.get(i++));
// merge all overlapping intervals to one considering newInterval
while (i < intervals.size() && intervals.get(i).start <= newInterval.end) {
newInterval = new Interval( // we could mutate newInterval here also
Math.min(newInterval.start, intervals.get(i).start),
Math.max(newInterval.end, intervals.get(i).end));
i++;
}
result.add(newInterval); // add the union of intervals we got
// add all the rest
while (i < intervals.size()) result.add(intervals.get(i++));
return result;
}
def insert(self, intervals, newInterval):
s, e = newInterval.start, newInterval.end
left = [i for i in intervals if i.end < s]
right = [i for i in intervals if i.start > e]
if left + right != intervals:
s = min(s, intervals[len(left)].start)
e = max(e, intervals[~len(right)].end)
return left + [Interval(s, e)] + right
class Solution {
public:
vector<Interval> insert(vector<Interval>& intervals, Interval newInterval) {
vector<Interval> res;
int index = 0;
while(index < intervals.size() && intervals[index].end < newInterval.start){
res.push_back(intervals[index++]);
}
while(index < intervals.size() && intervals[index].start <= newInterval.end){
newInterval.start = min(newInterval.start, intervals[index].start);
newInterval.end = max(newInterval.end, intervals[index].end);
index++;
}
res.push_back(newInterval);
while(index < intervals.size()){
res.push_back(intervals[index++]);
}
return res;
}
};
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