#+ANKI_DECK: study_deck_02
* TODO 0057. Insert Interval :medium:
:PROPERTIES:
:NEETCODE: [[file:../../roadmap.org::*0057. Insert Interval][0057. Insert Interval]]
:END:

You are given an array of non-overlapping intervals ~intervals~ where ~intervals[i] = [start_{i}, end_{i}]~ represent the start and the end of the ~i^{th}~ interval and ~intervals~ is sorted in ascending order by ~start_{i}~. 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 ~start_{i}~ and ~intervals~ still does not have any overlapping intervals (merge overlapping intervals if necessary).

Return ~intervals~/ after the insertion/.

*Note* that you don't need to modify ~intervals~ in-place. You can make a new array and return it.

*Example 1:*


#+begin_src
Input: intervals = [[1,3],[6,9]], newInterval = [2,5]
Output: [[1,5],[6,9]]
#+end_src


*Example 2:*


#+begin_src
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].
#+end_src


*Constraints:*

 - ~0 <= intervals.length <= 10^{4}~

 - ~intervals[i].length == 2~

 - ~0 <= start_{i} <= end_{i} <= 10^{5}~

 - ~intervals~ is sorted by ~start_{i}~ in *ascending* order.

 - ~newInterval.length == 2~

 - ~0 <= start <= end <= 10^{5}~

** TODO Approach
Write your approach here.

** TODO Python
#+begin_src python :lc-problem 57 :lc-lang python3
class Solution:
    def insert(self, intervals: List[List[int]], newInterval: List[int]) -> List[List[int]]:
#+end_src

** TODO C++
#+begin_src cpp :lc-problem 57
class Solution {
public:
    vector<vector<int>> insert(vector<vector<int>>& intervals, vector<int>& newInterval) {
        
    }
};
#+end_src