Solution: Insert Interval

Understand how to insert a given interval into a sorted list of non-overlapping intervals and merge any overlapping intervals efficiently. Explore the step-by-step approach to maintaining sorted order without extra sorting, optimizing time complexity to linear. This lesson helps you implement the intervals pattern in coding interviews using an optimal one-pass algorithm.

We'll cover the following...

Statement
Solution
- Naive approach
- Optimized approach using the intervals pattern
  - Step-by-step solution construction
  - Just the code

Statement

You are given a list of non-overlapping intervals, intervals, where each interval is represented as [start_i, end_i] and the list is sorted in ascending order by the start of each interval (start_i). You are also given another interval, new_interval = [start, end].

Your task is to insert new_interval into the list of intervals such that the list remains sorted by starting times and still contains no overlapping intervalsOverlapping intervals are two or more intervals with at least one common point in time.. If any intervals overlap after the insertion, merge them accordingly.

Return the updated list of intervals.

Note: You don’t need to modify intervals in place. You can make a new array and return it.

Constraints:

$0 \leq$ intervals.length $\leq 10^4$
intervals[i].length, new_interval.length $= = 2$ ...