Merge Intervals - Interviewbit Solution

Problem: Merge Intervals

Problem Description:

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] would result in [1,5],[6,9].

Example 2:

Given [1,2],[3,5],[6,7],[8,10],[12,16], insert and merge [4,9] would result in [1,2],[3,10],[12,16].
 
 This is because the new interval [4,9] overlaps with [3,5],[6,7],[8,10].
 
 Make sure the returned intervals are also sorted.

Solution: