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# Algorithm to find best insert position in sorted array

Last Updated: 30 Oct, 2020
Difficulty: Easy

## PROBLEM STATEMENT

#### For example:

``````If the given array 'A' is: [1, 2, 4, 7] and M = 6. We insert M = 6 in the array and get 'A' as: [1, 2, 4, 6, 7]. The position of 6 is 3 (according to 0-based indexing)
``````
##### Note:
``````1) The given array has distinct integers.

2) The given array may be empty.
``````
##### Input Format:
``````The first line contains two space-separated integers 'N' and 'M', representing the length of the array and the target integer.

The second line contains 'N' space-separated integers, Ai representing the given array.
``````
##### Output Format:
``````Print a single line containing a single integer denoting the position of 'M' in the final array, on a new line.
``````

#### Note:

``````You do not need to print anything, it has already been taken care of. Just implement the given function.
``````
##### Constraints:
``````0 ≤ N ≤ 10 ^ 5
1 ≤ M ≤ 10 ^ 9
1 ≤ Ai ≤ 10 ^ 9

Where 'Ai' is the array element at index 'i'.

Time Limit: 1 sec.
``````
``````Try to solve the problem in O(log N). 