# 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:**