# 35. Insert Interval

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:**

```
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].
```

**Example 3:**

```
Input: intervals = [], newInterval = [5,7]
Output: [[5,7]]
```

**Example 4:**

```
Input: intervals = [[1,5]], newInterval = [2,3]
Output: [[1,5]]
```

**Example 5:**

```
Input: intervals = [[1,5]], newInterval = [2,7]
Output: [[1,7]]
```

## Solution: 

**Insert and Merge**

```cpp
class Solution
{
public:
    vector<vector<int>> insert(vector<vector<int>> &intervals, vector<int> &newInterval)
    {

        int i = 0;

        while (i < intervals.size())
        {
            if (intervals[i][0] >= newInterval[0])
            {
                break;
            }
            i++;
        }

        intervals.insert(intervals.begin() + i, newInterval);

        vector<vector<int>> res;
        int idx = 0;

        for (int i = 1; i < intervals.size(); i++)
        {
            if (intervals[i][0] <= intervals[idx][1])
            {
                intervals[idx][0] = min(intervals[i][0], intervals[idx][0]);
                intervals[idx][1] = max(intervals[i][1], intervals[idx][1]);
            }
            else
            {
                res.push_back({intervals[idx][0], intervals[idx][1]});
                idx = i;
            }
        }

        res.push_back({intervals[idx][0], intervals[idx][1]});

        return res;
    }
};
```

**Time Complexity: O(n)**


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://soumyajit4419.gitbook.io/ds-algo/arrays/35.-insert-interval.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.