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# Sorted Insert Position InterviewBit Solution

Problem Description:

Given a sorted array A and a target value B, return the index if the target is found. If not, return the index where it would be if it were inserted in order.

You may assume no duplicates in the array.

Problem Constraints

```1 <= |A| <= 100000
1 <= B <= 109```

Input Format

```First argument is array A.
Second argument is integer B.```

Output Format

`Return an integer, the answer to the problem.`

Example Input

```Input 1:
A = [1, 3, 5, 6] B = 5 ```
```Input 2:
A = [1, 3, 5, 6] B = 2 ```

Example Output:

```Output 1:
2 ```
```Output 2:
1 ```

Example Explanation

```Explanation 1:
5 is found at index 2. ```
```Explanation 2:
2 will be inserted at index 1. ```

## Approach

The approach is to find the upper bound of the element. If the element exists then it will return the rightmost position of that element, otherwise, it returns the position of an element just greater than the current element.

## Time & Space Complexity

`Time Complexity: O(LogN)`

- Since we have used a binary search

`Space Complexity: O(1)`

- Ignoring the given space taken by input array.

Code in C++

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